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geodetic-coordinate-bounds

Abstract math for geodetic coordinate constraints: valid ranges, wrap semantics, and coordinate type distinctions. USE FOR: validating latitude ∈ [−90°, +90°] and longitude ∈ (−180°, +180°]; understanding why latitude is clamped but longitude wraps; difference between geodetic and geocentric latitude; ellipsoidal height vs. orthometric (MSL) height; antimeridian handling; normalizing out-of-range coordinates. DO NOT USE FOR: reference ellipsoid parameters (use reference-ellipsoids); datum transformations (use helmert-datum-transformation); coordinate system conversions (use coordinate-system-conversions).

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics스타 36(GitHub 36 + cccskills 0)

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SKILL.md3.1 KB
references/formulas.md2.0 KB
references/numerical-stability.md2.1 KB

SKILL.md(원문)

설치하기 전에 에이전트에게 전달되는 지시 내용을 확인할 수 있습니다.

Geodetic Coordinate Bounds

Valid Ranges

Coordinate	Range	Boundary type
Latitude φ	[−90°, +90°]	Closed both ends (poles are valid points)
Longitude λ	(−180°, +180°]	Open at −180° (the antimeridian is a single line)
Ellipsoidal height h	(−∞, +∞)	No geometric bound (can be below ellipsoid)

Why Latitude is Clamped, Not Wrapped

The poles are distinct point-entities: there is no "86°N wraps to 94°N". Latitude has physical poles at ±90°.

Values outside [−90°, +90°] indicate an input error — clamp or reject.

Why Longitude Wraps

Longitude is a circular coordinate: 180°E and 180°W are the same meridian (antimeridian). Wrap formula: λ = ((λ + 180°) mod 360°) − 180° → maps to (−180°, +180°].

−180° is excluded to prevent both −180° and +180° representing the antimeridian. +180° is included as the canonical form for the antimeridian.

Geodetic vs. Geocentric Latitude

Type	Symbol	Definition
Geodetic	φ	Angle of ellipsoid normal to equatorial plane
Geocentric	φ'	Angle of radius vector to equatorial plane
Reduced (parametric)	β	Auxiliary latitude for ellipse parameterization

For WGS84: φ − φ' ≤ 11.5 arcmin at 45°.

Conversion (geodetic → geocentric):

tan φ' = (1 − e²) · tan φ = (b/a)² · tan φ

Antimeridian Handling

A geographic polygon crossing the antimeridian requires special treatment:

Do NOT test if all longitudes are < 180° (a segment from 170°E to −170°E crosses the antimeridian)
Detect crossing: |λ₂ − λ₁| > 180°
Split the polygon at the antimeridian for Cartesian bounding box calculations

Height Types

Type	Reference surface	Use
Ellipsoidal height h	Reference ellipsoid (WGS84)	GPS, geometric geodesy
Orthometric height H	Geoid (mean sea level)	Topographic, engineering
Relationship	h = H + N (N = geoid undulation)	N varies by location (−107 to +85 m)

Reference Files

File	Load When
references/formulas.md	Longitude wrap formula, geodetic→geocentric derivation, height conversion
references/numerical-stability.md	Floating-point boundary tests, antimeridian edge cases, pole singularity

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한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

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한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

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한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

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한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

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한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

NetFabric의 스킬 모두 보기

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설치

명령으로 설치

npx skills add https://github.com/NetFabric/NetFabric.Numerics --skill geodetic-coordinate-bounds

터미널에 붙여 넣고 실행합니다(Node.js 필요). Claude Code, Codex 등 설치할 에이전트를 고를 수 있습니다.

에이전트에게 부탁하기

다음 Agent Skill을 설치해 주세요.
https://github.com/NetFabric/NetFabric.Numerics/tree/main/.agents/skills/geodetic-coordinate-bounds

먼저 SKILL.md와 첨부 파일의 내용을 확인해 수상한 처리(외부 전송, 인증 정보 읽기 등)가 없는지 확인한 뒤 Claude Code는 ~/.claude/skills/geodetic-coordinate-bounds/, Codex는 ~/.agents/skills/geodetic-coordinate-bounds/ 에 배치해 주세요.

이 문장을 그대로 Claude Code나 Codex에 보내면 내용을 확인한 뒤 설치해 줍니다.

GitHub에서 소스 보기

저장소: NetFabric/NetFabric.Numerics
스타: 36
포크: 1
카테고리: 기타
라이선스: MIT
원문 언어: 영어
최종 업데이트: 2026년 8월 10일

스킬은 에이전트를 위한 지시와 스크립트의 묶음입니다. cccskills는 내용의 안전성을 보증하지 않습니다. 설치하기 전에 내용을 확인하세요.