Description
Check a bearing against a supplied circular sector and end-inclusion rule.
Nautical quantities require explicit north, datum, sign, station and unit conventions. A wrapped bearing error has a chosen opposite-direction endpoint, while a circular sector has its own start and end policy. Supplied polar speeds, tank factors and tide labels are references rather than verified navigation or vessel conditions.
Check a bearing against a supplied circular sector and end-inclusion rule.
When to use this tool
Use Navigation Light Relative Sector Membership when you already have bearingDegrees, sectorStartDegrees, sectorWidthDegrees, includeEnd and need to check a bearing against a supplied circular sector and end-inclusion rule.
How to use the tool and how it works
- Enter bearingDegrees, sectorStartDegrees, sectorWidthDegrees, includeEnd. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read inSuppliedSector. Inspect inSuppliedSector before interpreting the associated values.
Require sector width in [0,360]. Normalize start and bearing to a turn, take the forward wrapped offset, and compare offset<width or equality when includeEnd; width=360 includes every bearing.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| bearingDegrees | Bearing Degrees | Required. Finite number. |
| sectorStartDegrees | Sector Start Degrees | Required. Finite number. |
| sectorWidthDegrees | Width from 0 through 360; zero width is empty unless includeEnd=true, which includes the start. | Required. Finite number; minimum 0; maximum 360. |
| includeEnd | Controls the far boundary; the start is normally included. Width 360 includes every bearing. | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| inSuppliedSector | In Supplied Sector | Required. Boolean. |
{
"input": {
"bearingDegrees": 355,
"sectorStartDegrees": 350,
"sectorWidthDegrees": 20,
"includeEnd": false
},
"output": {
"inSuppliedSector": true
}
}Limitations and assumptions
- For zero width only includeEnd=true accepts the start bearing. The sector is supplied, not a selected navigation-light rule or a verified legal/safe visibility sector.
- 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 verified charts, observations, vessel documentation and the complete relevant geometric or hydrostatic model for a navigational question. Preserve the local bearing/datum convention and treat scalar factors or sector checks as limited inputs rather than operational decisions.
References
Similar or alternative tools
- Transit Bearing Signed Error
Calculate a wrapped signed transit-bearing error.
- Compass Deviation East West Token
Encode an east/west compass-deviation magnitude under a supplied sign convention.