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name: latitude-zone-math-authority description: Canonical authority for Latitude band math (radius, t, thresholds, and helpers). Prevents hardcoding, duplicated thresholds, or inconsistent warm/cold checks across worldgen, guards, fog, hazards, HUD, and features.

Latitude — Zone Math Authority (Authoritative)

This skill ensures every system in Latitude uses the same band math:

• biome picking
• warm/cold guards (snow/ice/etc.)
• E/W storm fog borders
• hazards and effects
• HUD displays

If different parts of the code use different math, the mod becomes inconsistent and bugs reappear.

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Primary invariant: derive radius from world border

Never hardcode radius.

Use:

• radius = world.getWorldBorder().getSize() * 0.5

Notes:

• WorldBorder size is a diameter-like value; radius is half.
• All band logic must use the same radius for the same world.

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Canonical latitude coordinate

Latitude is based on Z (north/south):

• absZ = Math.abs(pos.getZ())
• t = absZ / radius

Where:

• t is normalized latitude from 0.0 (equator) to 1.0 (border/pole).

Rules:

• Clamp t if needed: t = Math.min(1.0, Math.max(0.0, t))
• Do not use X for latitude bands.
• Any “zone label” shown to player must correspond to this same t.

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Single source of truth for thresholds

There must be exactly one implementation that maps t -> zone/band:

• LatitudeMath or equivalent helper

All other systems must call that helper, not re-implement thresholds.

Allowed call shapes (examples):

• LatitudeMath.zoneFor(world, pos)
• LatitudeMath.zoneForT(t)
• LatitudeZones.fromT(t)

If the helper does not exist, the assistant must:

1. locate where thresholds currently live, and
2. refactor so thresholds live in one place, then
3. update all call sites to reference it.

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Band naming contract

Band names used across logs/HUD/guards must be consistent. Example canonical set:

• EQUATOR
• TROPICAL
• SUBTROPICAL
• TEMPERATE
• SUBPOLAR
• POLAR

If the project uses different names, mirror the project’s names exactly.

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Warm band / cold band predicates (required helpers)

Add and use helpers (names optional, behavior mandatory):

• isWarmBand(zone) returns true for bands that must never produce snow family blocks.
• isColdBand(zone) returns true for snow/ice-permitted bands.

Do not duplicate “warm band = t < X” logic in random places.

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Sea level authority

Avoid hardcoding y=63 unless intentionally matching vanilla sea level.

Preferred:

• seaLevel = world.getSeaLevel() (if available at the call site)

If not available, use a single project constant and document it.

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Debug output format requirements (when band math is involved)

If logging band math decisions, include:

• x, z, absZ
• radius
• t
• zone result

Example:

• x=1514 z=-120 absZ=120 radius=10000 t=0.012 zone=EQUATOR

All such logs must be gated behind a debug flag.

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Forbidden behaviors

• Hardcoding radius (e.g., radius=10000) except in tests/tools
• Copying threshold numbers into multiple files
• Mixing X and Z for latitude decisions
• Using different t formulas for different features
• “Fixing” bugs by adjusting thresholds without referencing the authority helper

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Required assistant output when math is questioned

When asked “why is zone X here?” or “why is guard firing?” the assistant must:

1. show the formula used
2. show the radius source
3. show t computation
4. point to the helper/constant location in code
5. propose changes only in that single authority location