{
  "algorithm": "bearings",
  "publishedDate": "2026-09-29",
  "earthModel": "Sphere, radius 6,371,008.8 m, the mean radius Turf uses",
  "sources": [
    {
      "role": "Reference program",
      "name": "GeodSolve, GeographicLib 2.7, on a sphere (-e 6371008.8 0)",
      "by": "Charles Karney. Every call and its output is in /bearings/sources/geodsolve.txt",
      "url": "https://geographiclib.sourceforge.io/C++/doc/GeodSolve.1.html",
      "licence": "MIT"
    },
    {
      "role": "Mils, back azimuths and the G-M angle",
      "name": "FM 3-25.26, Map Reading and Land Navigation (2001)",
      "by": "Headquarters, Department of the Army. Approved for public release. Excerpts and figures 6-10 to 6-15 in /bearings/sources/",
      "url": "https://ciehub.info/ref/FM/3-25x26_2001_html.pdf",
      "licence": "Public domain"
    },
    {
      "role": "Compass points",
      "name": "The American Practical Navigator (Bowditch), Pub. 9, Volume II, Appendix B",
      "by": "National Geospatial-Intelligence Agency. The table is in /bearings/sources/bowditch-appendix-b.txt",
      "url": "https://msi.nga.mil/Publications/APN",
      "licence": "Public domain"
    }
  ],
  "operations": [
    {
      "id": "inverse",
      "gives": "The distance and initial bearing between two points",
      "inputs": [
        "fromLatitudeInDegrees",
        "fromLongitudeInDegrees",
        "toLatitudeInDegrees",
        "toLongitudeInDegrees"
      ],
      "outputs": [
        "distanceInMeters",
        "bearingInDegrees"
      ]
    },
    {
      "id": "destination",
      "gives": "The point at a distance and bearing from another",
      "inputs": [
        "fromLatitudeInDegrees",
        "fromLongitudeInDegrees",
        "distanceInMeters",
        "bearingInDegrees"
      ],
      "outputs": [
        "toLatitudeInDegrees",
        "toLongitudeInDegrees"
      ]
    },
    {
      "id": "backAzimuth",
      "gives": "The reverse of a bearing",
      "inputs": [
        "bearingInDegrees"
      ],
      "outputs": [
        "backAzimuthInDegrees"
      ]
    },
    {
      "id": "turn",
      "gives": "The shortest turn from one bearing to another",
      "inputs": [
        "fromBearingInDegrees",
        "toBearingInDegrees"
      ],
      "outputs": [
        "turnInDegrees",
        "direction"
      ]
    },
    {
      "id": "convertNorth",
      "gives": "A bearing converted between true, magnetic and grid north",
      "inputs": [
        "bearingInDegrees",
        "fromNorth",
        "toNorth",
        "magneticDeclinationInDegrees",
        "convergenceInDegrees"
      ],
      "outputs": [
        "convertedBearingInDegrees"
      ]
    },
    {
      "id": "formatBearing",
      "gives": "A bearing written in whole degrees or mils",
      "inputs": [
        "bearingInDegrees",
        "angleUnit"
      ],
      "outputs": [
        "bearingText"
      ]
    },
    {
      "id": "compassPoint",
      "gives": "The nearest of 4, 8, 16 or 32 compass points",
      "inputs": [
        "bearingInDegrees",
        "pointCount"
      ],
      "outputs": [
        "compassPointText"
      ]
    }
  ],
  "fields": {
    "fromLatitudeInDegrees": "The start, −90 to 90",
    "fromLongitudeInDegrees": "The start, −180 to 180",
    "toLatitudeInDegrees": "The end, −90 to 90",
    "toLongitudeInDegrees": "The end, −180 to 180",
    "distanceInMeters": "Along the great circle, on the sphere; 0 or more",
    "bearingInDegrees": "0 to 360, clockwise from north. inverse leaves it out where it's undefined: the same point, antipodes, a pole, or due north, where 0 and 360 are both right.",
    "backAzimuthInDegrees": "The bearing plus 180°, in 0 to 360, so the back azimuth of 180° is 0°",
    "fromBearingInDegrees": "The heading now, 0 to 360",
    "toBearingInDegrees": "The heading wanted, 0 to 360",
    "turnInDegrees": "The smaller turn, 0 to 180",
    "direction": "right, left, or none for no turn. A turn of exactly 180° is right.",
    "fromNorth": "true, magnetic or grid",
    "toNorth": "true, magnetic or grid",
    "magneticDeclinationInDegrees": "True to magnetic, east positive, from the magnetic model: true = magnetic + declination",
    "convergenceInDegrees": "True to grid, east positive, from UTM: true = grid + convergence. The G-M angle is declination minus convergence.",
    "convertedBearingInDegrees": "0 to 360",
    "angleUnit": "degrees, or mils at 6400 to the circle",
    "bearingText": "Degrees rounded half up to a whole degree, three digits and °, 000° to 359°; or mils rounded half up, four digits, 0000 to 6399. Round first, then wrap: 359.6° is 000°.",
    "pointCount": "4, 8, 16 or 32",
    "compassPointText": "Bowditch's abbreviation for the nearest point, like N, NNE or NE by N. Half-way between two points goes clockwise."
  },
  "tolerances": {
    "distanceInMeters": "0.001",
    "bearingInDegrees": "0.000001",
    "toLatitudeInDegrees": "0.0000001",
    "toLongitudeInDegrees": "0.0000001",
    "backAzimuthInDegrees": "0.000001",
    "turnInDegrees": "0.000001",
    "convertedBearingInDegrees": "0.000001"
  },
  "cases": [
    {
      "id": "edge-inverse-across-antimeridian",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "179.5° to −179.5° is 110 km east, not most of the way round.",
      "input": {
        "fromLatitudeInDegrees": 10.0,
        "fromLongitudeInDegrees": 179.5,
        "toLatitudeInDegrees": 10.0,
        "toLongitudeInDegrees": -179.5
      },
      "expected": {
        "distanceInMeters": 109505.735199,
        "bearingInDegrees": 89.91317377355
      }
    },
    {
      "id": "edge-inverse-due-north",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "Bearing left out: 0 and 360 are both right.",
      "input": {
        "fromLatitudeInDegrees": 49.0,
        "fromLongitudeInDegrees": -123.0,
        "toLatitudeInDegrees": 50.0,
        "toLongitudeInDegrees": -123.0
      },
      "expected": {
        "distanceInMeters": 111195.080234
      }
    },
    {
      "id": "edge-inverse-due-east-on-equator",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 0.0,
        "fromLongitudeInDegrees": 10.0,
        "toLatitudeInDegrees": 0.0,
        "toLongitudeInDegrees": 11.0
      },
      "expected": {
        "distanceInMeters": 111195.080234,
        "bearingInDegrees": 90.0
      }
    },
    {
      "id": "edge-inverse-due-south",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 49.0,
        "fromLongitudeInDegrees": -123.0,
        "toLatitudeInDegrees": 48.0,
        "toLongitudeInDegrees": -123.0
      },
      "expected": {
        "distanceInMeters": 111195.080234,
        "bearingInDegrees": 180.0
      }
    },
    {
      "id": "edge-inverse-due-west",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 0.0,
        "fromLongitudeInDegrees": 10.0,
        "toLatitudeInDegrees": 0.0,
        "toLongitudeInDegrees": 9.0
      },
      "expected": {
        "distanceInMeters": 111195.080234,
        "bearingInDegrees": 270.0
      }
    },
    {
      "id": "edge-inverse-same-point",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "Distance 0; the bearing is undefined.",
      "input": {
        "fromLatitudeInDegrees": 49.28,
        "fromLongitudeInDegrees": -123.12,
        "toLatitudeInDegrees": 49.28,
        "toLongitudeInDegrees": -123.12
      },
      "expected": {
        "distanceInMeters": 0.0
      }
    },
    {
      "id": "edge-inverse-antipodes",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "Half the circumference; every bearing is right, so none is compared.",
      "input": {
        "fromLatitudeInDegrees": 0.0,
        "fromLongitudeInDegrees": 0.0,
        "toLatitudeInDegrees": 0.0,
        "toLongitudeInDegrees": 180.0
      },
      "expected": {
        "distanceInMeters": 20015114.442036
      }
    },
    {
      "id": "edge-inverse-near-antipodes",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 30.0,
        "fromLongitudeInDegrees": 0.0,
        "toLatitudeInDegrees": -29.5,
        "toLongitudeInDegrees": 179.5
      },
      "expected": {
        "distanceInMeters": 19941486.870671,
        "bearingInDegrees": 41.08880250211
      }
    },
    {
      "id": "edge-inverse-from-north-pole",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "From a pole the bearing depends on the convention, so only distance is compared.",
      "input": {
        "fromLatitudeInDegrees": 90.0,
        "fromLongitudeInDegrees": 0.0,
        "toLatitudeInDegrees": 45.0,
        "toLongitudeInDegrees": 30.0
      },
      "expected": {
        "distanceInMeters": 5003778.610509
      }
    },
    {
      "id": "edge-inverse-one-metre",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "Short distances keep their precision.",
      "input": {
        "fromLatitudeInDegrees": 49.28,
        "fromLongitudeInDegrees": -123.12,
        "toLatitudeInDegrees": 49.280009,
        "toLongitudeInDegrees": -123.12
      },
      "expected": {
        "distanceInMeters": 1.000756
      }
    },
    {
      "id": "edge-inverse-quarter-circle",
      "operation": "inverse",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 0.0,
        "fromLongitudeInDegrees": 0.0,
        "toLatitudeInDegrees": 0.0,
        "toLongitudeInDegrees": 90.0
      },
      "expected": {
        "distanceInMeters": 10007557.221018,
        "bearingInDegrees": 90.0
      }
    },
    {
      "id": "edge-destination-zero-distance",
      "operation": "destination",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 49.28,
        "fromLongitudeInDegrees": -123.12,
        "distanceInMeters": 0.0,
        "bearingInDegrees": 45.0
      },
      "expected": {
        "toLatitudeInDegrees": 49.28,
        "toLongitudeInDegrees": -123.12
      }
    },
    {
      "id": "edge-destination-across-antimeridian",
      "operation": "destination",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 10.0,
        "fromLongitudeInDegrees": 179.5,
        "distanceInMeters": 110000.0,
        "bearingInDegrees": 90.0
      },
      "expected": {
        "toLatitudeInDegrees": 9.99849419556,
        "toLongitudeInDegrees": -179.49548989029
      }
    },
    {
      "id": "edge-destination-half-way-round",
      "operation": "destination",
      "tags": [
        "reference",
        "edge"
      ],
      "input": {
        "fromLatitudeInDegrees": 0.0,
        "fromLongitudeInDegrees": 0.0,
        "distanceInMeters": 10007557.221,
        "bearingInDegrees": 90.0
      },
      "expected": {
        "toLatitudeInDegrees": 0.0,
        "toLongitudeInDegrees": 89.99999999984
      }
    },
    {
      "id": "edge-destination-over-the-pole",
      "operation": "destination",
      "tags": [
        "reference",
        "edge"
      ],
      "note": "Due north past the pole comes down the other side: longitude −170.",
      "input": {
        "fromLatitudeInDegrees": 80.0,
        "fromLongitudeInDegrees": 10.0,
        "distanceInMeters": 2000000.0,
        "bearingInDegrees": 0.0
      },
      "expected": {
        "toLatitudeInDegrees": 82.01359272551,
        "toLongitudeInDegrees": -170.0
      }
    },
    {
      "id": "fm-3-25-26-figure-6-10",
      "operation": "convertNorth",
      "tags": [
        "published"
      ],
      "note": "FM 3-25.26: magnetic 210° with a 12° east G-M angle is grid 222°.",
      "input": {
        "bearingInDegrees": 210,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": 12,
        "convergenceInDegrees": 0
      },
      "expected": {
        "convertedBearingInDegrees": 222
      }
    },
    {
      "id": "fm-3-25-26-figure-6-11",
      "operation": "convertNorth",
      "tags": [
        "published"
      ],
      "input": {
        "bearingInDegrees": 303,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": 10,
        "convergenceInDegrees": 0
      },
      "expected": {
        "convertedBearingInDegrees": 293
      }
    },
    {
      "id": "fm-3-25-26-figure-6-12",
      "operation": "convertNorth",
      "tags": [
        "published"
      ],
      "note": "FM 3-25.26: grid 2° with a 16° east G-M angle wraps to magnetic 346°.",
      "input": {
        "bearingInDegrees": 2,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": 16,
        "convergenceInDegrees": 0
      },
      "expected": {
        "convertedBearingInDegrees": 346
      }
    },
    {
      "id": "fm-3-25-26-figure-6-13",
      "operation": "convertNorth",
      "tags": [
        "published"
      ],
      "input": {
        "bearingInDegrees": 65,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": -8,
        "convergenceInDegrees": 0
      },
      "expected": {
        "convertedBearingInDegrees": 57
      }
    },
    {
      "id": "fm-3-25-26-figure-6-14",
      "operation": "convertNorth",
      "tags": [
        "published"
      ],
      "input": {
        "bearingInDegrees": 93,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": -14,
        "convergenceInDegrees": 0
      },
      "expected": {
        "convertedBearingInDegrees": 107
      }
    },
    {
      "id": "fm-3-25-26-figure-6-15",
      "operation": "convertNorth",
      "tags": [
        "published"
      ],
      "note": "FM 3-25.26: magnetic 5° with a 12° west G-M angle wraps to grid 353°.",
      "input": {
        "bearingInDegrees": 5,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": -12,
        "convergenceInDegrees": 0
      },
      "expected": {
        "convertedBearingInDegrees": 353
      }
    },
    {
      "id": "hand-convert-north-1",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "note": "True = magnetic + declination.",
      "input": {
        "bearingInDegrees": 5,
        "fromNorth": "magnetic",
        "toNorth": "true",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 20.5
      }
    },
    {
      "id": "hand-convert-north-2",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 355,
        "fromNorth": "true",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 339.5
      }
    },
    {
      "id": "hand-convert-north-3",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180,
        "fromNorth": "grid",
        "toNorth": "true",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 181.25
      }
    },
    {
      "id": "hand-convert-north-4",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.5,
        "fromNorth": "true",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 359.25
      }
    },
    {
      "id": "hand-convert-north-5",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 359.5,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 13.75
      }
    },
    {
      "id": "hand-convert-north-6",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 100,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 85.75
      }
    },
    {
      "id": "hand-convert-north-7",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 5,
        "fromNorth": "magnetic",
        "toNorth": "true",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 20.5
      }
    },
    {
      "id": "hand-convert-north-8",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 355,
        "fromNorth": "true",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 339.5
      }
    },
    {
      "id": "hand-convert-north-9",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180,
        "fromNorth": "grid",
        "toNorth": "true",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 178.75
      }
    },
    {
      "id": "hand-convert-north-10",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.5,
        "fromNorth": "true",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 1.75
      }
    },
    {
      "id": "hand-convert-north-11",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 359.5,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 16.25
      }
    },
    {
      "id": "hand-convert-north-12",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 100,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 83.25
      }
    },
    {
      "id": "hand-convert-north-13",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 5,
        "fromNorth": "magnetic",
        "toNorth": "true",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 349.5
      }
    },
    {
      "id": "hand-convert-north-14",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 355,
        "fromNorth": "true",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 10.5
      }
    },
    {
      "id": "hand-convert-north-15",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "note": "True = grid + convergence.",
      "input": {
        "bearingInDegrees": 180,
        "fromNorth": "grid",
        "toNorth": "true",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 181.25
      }
    },
    {
      "id": "hand-convert-north-16",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.5,
        "fromNorth": "true",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 359.25
      }
    },
    {
      "id": "hand-convert-north-17",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 359.5,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 342.75
      }
    },
    {
      "id": "hand-convert-north-18",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 100,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 116.75
      }
    },
    {
      "id": "hand-convert-north-19",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 5,
        "fromNorth": "magnetic",
        "toNorth": "true",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 349.5
      }
    },
    {
      "id": "hand-convert-north-20",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 355,
        "fromNorth": "true",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 10.5
      }
    },
    {
      "id": "hand-convert-north-21",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180,
        "fromNorth": "grid",
        "toNorth": "true",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 178.75
      }
    },
    {
      "id": "hand-convert-north-22",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.5,
        "fromNorth": "true",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 1.75
      }
    },
    {
      "id": "hand-convert-north-23",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 359.5,
        "fromNorth": "magnetic",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 345.25
      }
    },
    {
      "id": "hand-convert-north-24",
      "operation": "convertNorth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 100,
        "fromNorth": "grid",
        "toNorth": "magnetic",
        "magneticDeclinationInDegrees": -15.5,
        "convergenceInDegrees": -1.25
      },
      "expected": {
        "convertedBearingInDegrees": 114.25
      }
    },
    {
      "id": "hand-convert-north-same",
      "operation": "convertNorth",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 42,
        "fromNorth": "grid",
        "toNorth": "grid",
        "magneticDeclinationInDegrees": 15.5,
        "convergenceInDegrees": 1.25
      },
      "expected": {
        "convertedBearingInDegrees": 42
      }
    },
    {
      "id": "bowditch-points-4-0-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-4-90-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 90.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-4-180-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-4-270-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 270.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-4-45-0",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 45.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-4-135-0",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 135.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-4-225-0",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 225.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-4-315-0",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 315.0,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-4-359-9",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "Just west of north is still N.",
      "input": {
        "bearingInDegrees": 359.9,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-4-0-01",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 0.01,
        "pointCount": 4
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-8-0-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-8-45-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 45.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "NE"
      }
    },
    {
      "id": "bowditch-points-8-90-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 90.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-8-135-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 135.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "SE"
      }
    },
    {
      "id": "bowditch-points-8-180-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-8-225-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 225.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "SW"
      }
    },
    {
      "id": "bowditch-points-8-270-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 270.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-8-315-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 315.0,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "NW"
      }
    },
    {
      "id": "bowditch-points-8-22-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 22.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "NE"
      }
    },
    {
      "id": "bowditch-points-8-67-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 67.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-8-112-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 112.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "SE"
      }
    },
    {
      "id": "bowditch-points-8-157-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 157.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-8-202-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 202.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "SW"
      }
    },
    {
      "id": "bowditch-points-8-247-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 247.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-8-292-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 292.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "NW"
      }
    },
    {
      "id": "bowditch-points-8-337-5",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 337.5,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-8-359-9",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.9,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-8-0-01",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 0.01,
        "pointCount": 8
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-16-0-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-16-22-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 22.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NNE"
      }
    },
    {
      "id": "bowditch-points-16-45-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 45.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NE"
      }
    },
    {
      "id": "bowditch-points-16-67-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 67.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "ENE"
      }
    },
    {
      "id": "bowditch-points-16-90-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 90.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-16-112-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 112.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "ESE"
      }
    },
    {
      "id": "bowditch-points-16-135-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 135.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SE"
      }
    },
    {
      "id": "bowditch-points-16-157-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 157.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SSE"
      }
    },
    {
      "id": "bowditch-points-16-180-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-16-202-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 202.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SSW"
      }
    },
    {
      "id": "bowditch-points-16-225-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 225.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SW"
      }
    },
    {
      "id": "bowditch-points-16-247-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 247.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "WSW"
      }
    },
    {
      "id": "bowditch-points-16-270-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 270.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-16-292-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 292.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "WNW"
      }
    },
    {
      "id": "bowditch-points-16-315-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 315.0,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NW"
      }
    },
    {
      "id": "bowditch-points-16-337-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 337.5,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NNW"
      }
    },
    {
      "id": "bowditch-points-16-11-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "Half-way between N and NNE goes clockwise: NNE.",
      "input": {
        "bearingInDegrees": 11.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NNE"
      }
    },
    {
      "id": "bowditch-points-16-33-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 33.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NE"
      }
    },
    {
      "id": "bowditch-points-16-56-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 56.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "ENE"
      }
    },
    {
      "id": "bowditch-points-16-78-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 78.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-16-101-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 101.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "ESE"
      }
    },
    {
      "id": "bowditch-points-16-123-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 123.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SE"
      }
    },
    {
      "id": "bowditch-points-16-146-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 146.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SSE"
      }
    },
    {
      "id": "bowditch-points-16-168-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 168.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-16-191-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 191.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SSW"
      }
    },
    {
      "id": "bowditch-points-16-213-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 213.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "SW"
      }
    },
    {
      "id": "bowditch-points-16-236-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 236.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "WSW"
      }
    },
    {
      "id": "bowditch-points-16-258-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 258.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-16-281-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 281.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "WNW"
      }
    },
    {
      "id": "bowditch-points-16-303-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 303.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NW"
      }
    },
    {
      "id": "bowditch-points-16-326-25",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 326.25,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "NNW"
      }
    },
    {
      "id": "bowditch-points-16-348-75",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 348.75,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-16-359-9",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.9,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-16-0-01",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 0.01,
        "pointCount": 16
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-32-0-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-32-11-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "note": "Bowditch's abbreviation: N by E.",
      "input": {
        "bearingInDegrees": 11.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N by E"
      }
    },
    {
      "id": "bowditch-points-32-22-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 22.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NNE"
      }
    },
    {
      "id": "bowditch-points-32-33-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 33.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NE by N"
      }
    },
    {
      "id": "bowditch-points-32-45-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 45.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NE"
      }
    },
    {
      "id": "bowditch-points-32-56-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 56.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NE by E"
      }
    },
    {
      "id": "bowditch-points-32-67-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 67.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "ENE"
      }
    },
    {
      "id": "bowditch-points-32-78-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 78.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "E by N"
      }
    },
    {
      "id": "bowditch-points-32-90-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 90.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-32-101-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 101.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "E by S"
      }
    },
    {
      "id": "bowditch-points-32-112-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 112.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "ESE"
      }
    },
    {
      "id": "bowditch-points-32-123-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 123.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SE by E"
      }
    },
    {
      "id": "bowditch-points-32-135-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 135.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SE"
      }
    },
    {
      "id": "bowditch-points-32-146-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 146.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SE by S"
      }
    },
    {
      "id": "bowditch-points-32-157-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 157.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SSE"
      }
    },
    {
      "id": "bowditch-points-32-168-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 168.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "S by E"
      }
    },
    {
      "id": "bowditch-points-32-180-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-32-191-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 191.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "S by W"
      }
    },
    {
      "id": "bowditch-points-32-202-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 202.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SSW"
      }
    },
    {
      "id": "bowditch-points-32-213-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 213.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SW by S"
      }
    },
    {
      "id": "bowditch-points-32-225-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 225.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SW"
      }
    },
    {
      "id": "bowditch-points-32-236-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 236.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SW by W"
      }
    },
    {
      "id": "bowditch-points-32-247-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 247.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "WSW"
      }
    },
    {
      "id": "bowditch-points-32-258-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 258.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "W by S"
      }
    },
    {
      "id": "bowditch-points-32-270-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 270.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-32-281-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 281.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "W by N"
      }
    },
    {
      "id": "bowditch-points-32-292-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 292.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "WNW"
      }
    },
    {
      "id": "bowditch-points-32-303-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 303.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NW by W"
      }
    },
    {
      "id": "bowditch-points-32-315-0",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 315.0,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NW"
      }
    },
    {
      "id": "bowditch-points-32-326-25",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 326.25,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NW by N"
      }
    },
    {
      "id": "bowditch-points-32-337-5",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 337.5,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NNW"
      }
    },
    {
      "id": "bowditch-points-32-348-75",
      "operation": "compassPoint",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 348.75,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N by W"
      }
    },
    {
      "id": "bowditch-points-32-5-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 5.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N by E"
      }
    },
    {
      "id": "bowditch-points-32-16-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 16.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NNE"
      }
    },
    {
      "id": "bowditch-points-32-28-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 28.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NE by N"
      }
    },
    {
      "id": "bowditch-points-32-39-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 39.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NE"
      }
    },
    {
      "id": "bowditch-points-32-50-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 50.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NE by E"
      }
    },
    {
      "id": "bowditch-points-32-61-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 61.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "ENE"
      }
    },
    {
      "id": "bowditch-points-32-73-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 73.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "E by N"
      }
    },
    {
      "id": "bowditch-points-32-84-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 84.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "E"
      }
    },
    {
      "id": "bowditch-points-32-95-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 95.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "E by S"
      }
    },
    {
      "id": "bowditch-points-32-106-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 106.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "ESE"
      }
    },
    {
      "id": "bowditch-points-32-118-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 118.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SE by E"
      }
    },
    {
      "id": "bowditch-points-32-129-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 129.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SE"
      }
    },
    {
      "id": "bowditch-points-32-140-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 140.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SE by S"
      }
    },
    {
      "id": "bowditch-points-32-151-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 151.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SSE"
      }
    },
    {
      "id": "bowditch-points-32-163-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 163.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "S by E"
      }
    },
    {
      "id": "bowditch-points-32-174-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 174.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "S"
      }
    },
    {
      "id": "bowditch-points-32-185-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 185.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "S by W"
      }
    },
    {
      "id": "bowditch-points-32-196-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 196.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SSW"
      }
    },
    {
      "id": "bowditch-points-32-208-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 208.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SW by S"
      }
    },
    {
      "id": "bowditch-points-32-219-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 219.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SW"
      }
    },
    {
      "id": "bowditch-points-32-230-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 230.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "SW by W"
      }
    },
    {
      "id": "bowditch-points-32-241-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 241.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "WSW"
      }
    },
    {
      "id": "bowditch-points-32-253-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 253.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "W by S"
      }
    },
    {
      "id": "bowditch-points-32-264-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 264.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "W"
      }
    },
    {
      "id": "bowditch-points-32-275-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 275.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "W by N"
      }
    },
    {
      "id": "bowditch-points-32-286-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 286.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "WNW"
      }
    },
    {
      "id": "bowditch-points-32-298-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 298.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NW by W"
      }
    },
    {
      "id": "bowditch-points-32-309-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 309.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NW"
      }
    },
    {
      "id": "bowditch-points-32-320-625",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 320.625,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NW by N"
      }
    },
    {
      "id": "bowditch-points-32-331-875",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 331.875,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "NNW"
      }
    },
    {
      "id": "bowditch-points-32-343-125",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 343.125,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N by W"
      }
    },
    {
      "id": "bowditch-points-32-354-375",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 354.375,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-32-359-9",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.9,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "bowditch-points-32-0-01",
      "operation": "compassPoint",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 0.01,
        "pointCount": 32
      },
      "expected": {
        "compassPointText": "N"
      }
    },
    {
      "id": "hand-back-azimuth-0",
      "operation": "backAzimuth",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 0
      },
      "expected": {
        "backAzimuthInDegrees": 180.0
      }
    },
    {
      "id": "hand-back-azimuth-45",
      "operation": "backAzimuth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 45
      },
      "expected": {
        "backAzimuthInDegrees": 225.0
      }
    },
    {
      "id": "hand-back-azimuth-179-5",
      "operation": "backAzimuth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 179.5
      },
      "expected": {
        "backAzimuthInDegrees": 359.5
      }
    },
    {
      "id": "hand-back-azimuth-180",
      "operation": "backAzimuth",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "The back azimuth of 180° is 0°, not 360°.",
      "input": {
        "bearingInDegrees": 180
      },
      "expected": {
        "backAzimuthInDegrees": 0.0
      }
    },
    {
      "id": "hand-back-azimuth-180-5",
      "operation": "backAzimuth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180.5
      },
      "expected": {
        "backAzimuthInDegrees": 0.5
      }
    },
    {
      "id": "hand-back-azimuth-270",
      "operation": "backAzimuth",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 270
      },
      "expected": {
        "backAzimuthInDegrees": 90.0
      }
    },
    {
      "id": "hand-back-azimuth-359-9",
      "operation": "backAzimuth",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.9
      },
      "expected": {
        "backAzimuthInDegrees": 179.9
      }
    },
    {
      "id": "hand-turn-350-to-10",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "Across north: 20° right, not 340° left.",
      "input": {
        "fromBearingInDegrees": 350,
        "toBearingInDegrees": 10
      },
      "expected": {
        "turnInDegrees": 20.0,
        "direction": "right"
      }
    },
    {
      "id": "hand-turn-10-to-350",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "fromBearingInDegrees": 10,
        "toBearingInDegrees": 350
      },
      "expected": {
        "turnInDegrees": 20.0,
        "direction": "left"
      }
    },
    {
      "id": "hand-turn-0-to-180",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "Exactly 180° is right, by this file's rule.",
      "input": {
        "fromBearingInDegrees": 0,
        "toBearingInDegrees": 180
      },
      "expected": {
        "turnInDegrees": 180.0,
        "direction": "right"
      }
    },
    {
      "id": "hand-turn-180-to-0",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "fromBearingInDegrees": 180,
        "toBearingInDegrees": 0
      },
      "expected": {
        "turnInDegrees": 180.0,
        "direction": "right"
      }
    },
    {
      "id": "hand-turn-90-to-90",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "No turn: direction none.",
      "input": {
        "fromBearingInDegrees": 90,
        "toBearingInDegrees": 90
      },
      "expected": {
        "turnInDegrees": 0.0,
        "direction": "none"
      }
    },
    {
      "id": "hand-turn-45-to-225-5",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "fromBearingInDegrees": 45,
        "toBearingInDegrees": 225.5
      },
      "expected": {
        "turnInDegrees": 179.5,
        "direction": "left"
      }
    },
    {
      "id": "hand-turn-225-5-to-45",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "fromBearingInDegrees": 225.5,
        "toBearingInDegrees": 45
      },
      "expected": {
        "turnInDegrees": 179.5,
        "direction": "right"
      }
    },
    {
      "id": "hand-turn-0-25-to-359-75",
      "operation": "turn",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "fromBearingInDegrees": 0.25,
        "toBearingInDegrees": 359.75
      },
      "expected": {
        "turnInDegrees": 0.5,
        "direction": "left"
      }
    },
    {
      "id": "hand-turn-100-to-279-9",
      "operation": "turn",
      "tags": [
        "hand"
      ],
      "input": {
        "fromBearingInDegrees": 100,
        "toBearingInDegrees": 279.9
      },
      "expected": {
        "turnInDegrees": 179.9,
        "direction": "right"
      }
    },
    {
      "id": "hand-format-degrees-0",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "000°"
      }
    },
    {
      "id": "hand-format-degrees-0-4",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.4,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "000°"
      }
    },
    {
      "id": "hand-format-degrees-0-5",
      "operation": "formatBearing",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "Half up: 0.5° is 001°.",
      "input": {
        "bearingInDegrees": 0.5,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "001°"
      }
    },
    {
      "id": "hand-format-degrees-9-5",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 9.5,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "010°"
      }
    },
    {
      "id": "hand-format-degrees-45",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 45,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "045°"
      }
    },
    {
      "id": "hand-format-degrees-99-49",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 99.49,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "099°"
      }
    },
    {
      "id": "hand-format-degrees-180",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "180°"
      }
    },
    {
      "id": "hand-format-degrees-359-4",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 359.4,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "359°"
      }
    },
    {
      "id": "hand-format-degrees-359-5",
      "operation": "formatBearing",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.5,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "000°"
      }
    },
    {
      "id": "hand-format-degrees-359-6",
      "operation": "formatBearing",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "Round, then wrap: 359.6° is 000°, never 360°.",
      "input": {
        "bearingInDegrees": 359.6,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "000°"
      }
    },
    {
      "id": "hand-format-degrees-359-999",
      "operation": "formatBearing",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.999,
        "angleUnit": "degrees"
      },
      "expected": {
        "bearingText": "000°"
      }
    },
    {
      "id": "hand-format-mils-0",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "0000"
      }
    },
    {
      "id": "hand-format-mils-0-02",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.02,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "0000"
      }
    },
    {
      "id": "hand-format-mils-0-04",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 0.04,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "0001"
      }
    },
    {
      "id": "hand-format-mils-45",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 45,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "0800"
      }
    },
    {
      "id": "hand-format-mils-90",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 90,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "1600"
      }
    },
    {
      "id": "hand-format-mils-180",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 180,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "3200"
      }
    },
    {
      "id": "hand-format-mils-270",
      "operation": "formatBearing",
      "tags": [
        "hand"
      ],
      "input": {
        "bearingInDegrees": 270,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "4800"
      }
    },
    {
      "id": "hand-format-mils-359-97",
      "operation": "formatBearing",
      "tags": [
        "hand",
        "edge"
      ],
      "input": {
        "bearingInDegrees": 359.97,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "6399"
      }
    },
    {
      "id": "hand-format-mils-359-98",
      "operation": "formatBearing",
      "tags": [
        "hand",
        "edge"
      ],
      "note": "6399.64 mils rounds to 6400, which wraps to 0000.",
      "input": {
        "bearingInDegrees": 359.98,
        "angleUnit": "mils"
      },
      "expected": {
        "bearingText": "0000"
      }
    },
    {
      "id": "invalid-inverse-latitude-91",
      "operation": "inverse",
      "tags": [
        "invalid"
      ],
      "input": {
        "fromLatitudeInDegrees": 91,
        "fromLongitudeInDegrees": 0,
        "toLatitudeInDegrees": 0,
        "toLongitudeInDegrees": 0
      },
      "expected": {
        "error": "outOfRange"
      }
    },
    {
      "id": "invalid-destination-negative-distance",
      "operation": "destination",
      "tags": [
        "invalid"
      ],
      "input": {
        "fromLatitudeInDegrees": 0,
        "fromLongitudeInDegrees": 0,
        "distanceInMeters": -1,
        "bearingInDegrees": 0
      },
      "expected": {
        "error": "outOfRange"
      }
    },
    {
      "id": "invalid-format-bearing-unit",
      "operation": "formatBearing",
      "tags": [
        "invalid"
      ],
      "input": {
        "bearingInDegrees": 10,
        "angleUnit": "grads"
      },
      "expected": {
        "error": "invalidInput"
      }
    },
    {
      "id": "invalid-compass-point-count-12",
      "operation": "compassPoint",
      "tags": [
        "invalid"
      ],
      "input": {
        "bearingInDegrees": 10,
        "pointCount": 12
      },
      "expected": {
        "error": "invalidInput"
      }
    },
    {
      "id": "invalid-convert-north-name",
      "operation": "convertNorth",
      "tags": [
        "invalid"
      ],
      "input": {
        "bearingInDegrees": 10,
        "fromNorth": "compass",
        "toNorth": "true",
        "magneticDeclinationInDegrees": 0,
        "convergenceInDegrees": 0
      },
      "expected": {
        "error": "invalidInput"
      }
    },
    {
      "id": "geodsolve-inverse-1",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -31.6057074,
        "fromLongitudeInDegrees": 15.9225211,
        "toLatitudeInDegrees": -15.0753827,
        "toLongitudeInDegrees": 37.4112139
      },
      "expected": {
        "distanceInMeters": 2851395.013448,
        "bearingInDegrees": 54.81808019574
      }
    },
    {
      "id": "geodsolve-inverse-2",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 14.5627763,
        "fromLongitudeInDegrees": -156.4096107,
        "toLatitudeInDegrees": 14.1246275,
        "toLongitudeInDegrees": -156.1058885
      },
      "expected": {
        "distanceInMeters": 58687.351524,
        "bearingInDegrees": 146.07752310111
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    },
    {
      "id": "geodsolve-inverse-3",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -28.7698167,
        "fromLongitudeInDegrees": -95.640854,
        "toLatitudeInDegrees": 82.4321825,
        "toLongitudeInDegrees": -10.7051373
      },
      "expected": {
        "distanceInMeters": 13102544.99878,
        "bearingInDegrees": 8.53124098158
      }
    },
    {
      "id": "geodsolve-inverse-4",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 42.2930586,
        "fromLongitudeInDegrees": -8.5128449,
        "toLatitudeInDegrees": 42.41822,
        "toLongitudeInDegrees": -8.8272901
      },
      "expected": {
        "distanceInMeters": 29347.928888,
        "bearingInDegrees": 298.41431208983
      }
    },
    {
      "id": "geodsolve-inverse-5",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 15.6476842,
        "fromLongitudeInDegrees": 132.4963106,
        "toLatitudeInDegrees": 2.6573236,
        "toLongitudeInDegrees": 86.8506682
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      "expected": {
        "distanceInMeters": 5200272.217261,
        "bearingInDegrees": 258.62363878785
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    },
    {
      "id": "geodsolve-inverse-6",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 20.0489571,
        "fromLongitudeInDegrees": -156.9486822,
        "toLatitudeInDegrees": 20.2813643,
        "toLongitudeInDegrees": -156.8666926
      },
      "expected": {
        "distanceInMeters": 27222.711338,
        "bearingInDegrees": 18.30866559021
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    },
    {
      "id": "geodsolve-inverse-7",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -23.4197788,
        "fromLongitudeInDegrees": -168.8357695,
        "toLatitudeInDegrees": 46.9748673,
        "toLongitudeInDegrees": -9.8103281
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      "expected": {
        "distanceInMeters": 16797959.652709,
        "bearingInDegrees": 30.32172880942
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    },
    {
      "id": "geodsolve-inverse-8",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 25.9539006,
        "fromLongitudeInDegrees": 136.3726081,
        "toLatitudeInDegrees": 26.1466172,
        "toLongitudeInDegrees": 136.7515969
      },
      "expected": {
        "distanceInMeters": 43504.259766,
        "bearingInDegrees": 60.40690028238
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    },
    {
      "id": "geodsolve-inverse-9",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -12.1266415,
        "fromLongitudeInDegrees": 108.3271576,
        "toLatitudeInDegrees": -6.3590063,
        "toLongitudeInDegrees": 156.8112198
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      "expected": {
        "distanceInMeters": 5352886.905553,
        "bearingInDegrees": 87.68380874767
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    },
    {
      "id": "geodsolve-inverse-10",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 49.2647779,
        "fromLongitudeInDegrees": -144.9164485,
        "toLatitudeInDegrees": 48.9371499,
        "toLongitudeInDegrees": -145.1711602
      },
      "expected": {
        "distanceInMeters": 40878.509081,
        "bearingInDegrees": 207.07301885886
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    },
    {
      "id": "geodsolve-inverse-11",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 68.5850029,
        "fromLongitudeInDegrees": -22.981728,
        "toLatitudeInDegrees": 14.672673,
        "toLongitudeInDegrees": -71.6305686
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      "expected": {
        "distanceInMeters": 6896289.9291,
        "bearingInDegrees": 235.31721175897002
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    },
    {
      "id": "geodsolve-inverse-12",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 0.8300138,
        "fromLongitudeInDegrees": -41.0881468,
        "toLatitudeInDegrees": 0.6958333,
        "toLongitudeInDegrees": -41.0115801
      },
      "expected": {
        "distanceInMeters": 17178.047133,
        "bearingInDegrees": 150.2915215689
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    },
    {
      "id": "geodsolve-inverse-13",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 9.7008258,
        "fromLongitudeInDegrees": 145.5126375,
        "toLatitudeInDegrees": 21.3438562,
        "toLongitudeInDegrees": 154.4204164
      },
      "expected": {
        "distanceInMeters": 1607154.027791,
        "bearingInDegrees": 35.29849000761
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    },
    {
      "id": "geodsolve-inverse-14",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 45.4632826,
        "fromLongitudeInDegrees": 176.7562722,
        "toLatitudeInDegrees": 45.6174288,
        "toLongitudeInDegrees": 176.4530618
      },
      "expected": {
        "distanceInMeters": 29179.368343,
        "bearingInDegrees": 306.08162667289
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    },
    {
      "id": "geodsolve-inverse-15",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 46.1598528,
        "fromLongitudeInDegrees": 167.267861,
        "toLatitudeInDegrees": 54.0365676,
        "toLongitudeInDegrees": 24.8787013
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      "expected": {
        "distanceInMeters": 8321540.417225,
        "bearingInDegrees": 338.20205670857
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    },
    {
      "id": "geodsolve-inverse-16",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 25.3175038,
        "fromLongitudeInDegrees": -103.9950059,
        "toLatitudeInDegrees": 25.615951,
        "toLongitudeInDegrees": -103.9288268
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      "expected": {
        "distanceInMeters": 33844.362867,
        "bearingInDegrees": 11.30667833681
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    },
    {
      "id": "geodsolve-inverse-17",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -25.4729594,
        "fromLongitudeInDegrees": -157.1541922,
        "toLatitudeInDegrees": 45.0630908,
        "toLongitudeInDegrees": 176.3301654
      },
      "expected": {
        "distanceInMeters": 8291298.398633,
        "bearingInDegrees": 340.90516992986
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    },
    {
      "id": "geodsolve-inverse-18",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -55.382593,
        "fromLongitudeInDegrees": 108.2143157,
        "toLatitudeInDegrees": -55.4631773,
        "toLongitudeInDegrees": 107.9000045
      },
      "expected": {
        "distanceInMeters": 21764.669531,
        "bearingInDegrees": 245.55883695546999
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    },
    {
      "id": "geodsolve-inverse-19",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -24.3442114,
        "fromLongitudeInDegrees": 96.7650794,
        "toLatitudeInDegrees": 48.2049902,
        "toLongitudeInDegrees": -164.091578
      },
      "expected": {
        "distanceInMeters": 12655848.28238,
        "bearingInDegrees": 45.9924864147
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    },
    {
      "id": "geodsolve-inverse-20",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 13.242034,
        "fromLongitudeInDegrees": -163.8215123,
        "toLatitudeInDegrees": 13.4386304,
        "toLongitudeInDegrees": -163.9736536
      },
      "expected": {
        "distanceInMeters": 27365.012836,
        "bearingInDegrees": 323.03797327279
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    },
    {
      "id": "geodsolve-inverse-21",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 49.6240787,
        "fromLongitudeInDegrees": 173.0288725,
        "toLatitudeInDegrees": 0.6211412,
        "toLongitudeInDegrees": 179.4632203
      },
      "expected": {
        "distanceInMeters": 5483248.236921,
        "bearingInDegrees": 171.50163859106
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    },
    {
      "id": "geodsolve-inverse-22",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -22.3745639,
        "fromLongitudeInDegrees": -152.2905463,
        "toLatitudeInDegrees": -22.2847774,
        "toLongitudeInDegrees": -152.7123063
      },
      "expected": {
        "distanceInMeters": 44514.938337,
        "bearingInDegrees": 282.88036713173
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    },
    {
      "id": "geodsolve-inverse-23",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -37.245415,
        "fromLongitudeInDegrees": -33.1429912,
        "toLatitudeInDegrees": 12.7639117,
        "toLongitudeInDegrees": -123.7683632
      },
      "expected": {
        "distanceInMeters": 10916531.318247,
        "bearingInDegrees": 279.85593438442
      }
    },
    {
      "id": "geodsolve-inverse-24",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": -66.2239611,
        "fromLongitudeInDegrees": 132.4004522,
        "toLatitudeInDegrees": -66.3915136,
        "toLongitudeInDegrees": 132.8132457
      },
      "expected": {
        "distanceInMeters": 26216.206331,
        "bearingInDegrees": 135.47792139189
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    },
    {
      "id": "geodsolve-inverse-25",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 52.4967947,
        "fromLongitudeInDegrees": -43.9958738,
        "toLatitudeInDegrees": -4.5414759,
        "toLongitudeInDegrees": 7.2262745
      },
      "expected": {
        "distanceInMeters": 7950588.127131,
        "bearingInDegrees": 124.96780801347
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    },
    {
      "id": "geodsolve-inverse-26",
      "operation": "inverse",
      "tags": [
        "reference"
      ],
      "input": {
        "fromLatitudeInDegrees": 16.7249411,
        "fromLongitudeInDegrees": 34.4340858,
        "toLatitudeInDegrees": 16.778276,
        "toLongitudeInDegrees": 34.5421993
      },
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      "id": "geodsolve-destination-298",
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        "fromLatitudeInDegrees": 23.6897526,
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      "id": "geodsolve-destination-300",
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}
