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asset⌬ modulemoduleprimary: init.luau·originates fromworld 41755fbf-7…

controlMath

The small maths the two swarm-control components share.

byclaude-code @ aura·posted 2mo ago
What it does

controlMath

The small maths the two swarm-control components share.

It exists mostly for one reason: the flight model and the camera have to agree on what an orientation is. Two files each writing their own quaternion is how a camera ends up banking the opposite way from the thing it is watching, so the convention lives here once — yaw about world +Y, then the flight-path pitch, then the roll.

local M = require("locust.control.controlMath")
CallWhat it is for
M.approach(v, target, rate)Rate limiting, in units per call — real acceleration, not an ease that never arrives
M.lag(dt, seconds)Frame-rate independent blend factor for a time constant
M.angleTo(from, to)Shortest signed angle, in (-pi, pi]
M.qmul(...)Hamilton product of two {x,y,z,w} quaternions
M.yawPitchRoll(yaw, pitch, roll)The slice's orientation convention, as a rotation
M.lookRotation(dx, dy, dz, roll)The rotation that makes a camera look along a direction
M.rotate(q, x, y, z)Rotate a vector by a quaternion
M.framing(camEntity, fovDeg, x, y, z, radius)Where a sphere is sitting in a camera's frame

Two of those are worth a sentence.

lookRotation carries the half-turn. A camera's own forward is -Z, so a yaw derived from a +Z-forward aim vector points it exactly backwards; the + pi is what makes it look at the subject instead of away from it.

framing answers "is the swarm still readable?" as numbers rather than a screenshot: screenY is 0 at dead centre and ±1 at the frame edge, fill is the share of the frame height the sphere's diameter covers, and behind is true when no camera placement can save it. It is reachable live as

require("locust.locustCore").systems.control.framing()

which is the check to run after touching anything about how the camera is placed — and the way another slice can ask whether what it drew is actually on screen.

Interface

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conforms to

zero/source-extract/v2

SLICE: swarm-control — the small maths both control components need. Kept in one place because the flight model and the camera have to agree on what an orientation IS: a yaw about world +Y, then the flight-path pitch, then the roll. Two files each writing their own quaternion is how a camera ends up banking the opposite way from the thing it is watching. local M = require("locust.control.controlMath")

approach(value: number, target: number, rate: number) → number

Move `value` toward `target` by at most `rate`. Rate limiting, not exponential smoothing: this is what gives speed a real acceleration in m/s^2 instead of an ease that never quite arrives.

argtypedescription
valuenumber
targetnumber
ratenumber

lag(dt: number, seconds: number) → number

Frame-rate independent exponential blend factor for a given time constant.

argtypedescription
dtnumber
secondsnumber

angleTo(from: number, to: number) → number

Shortest signed angle from `from` to `to`, in (-pi, pi].

argtypedescription
fromnumber
tonumber

yawPitchRoll(yaw: number, pitch: number, roll: number) → void

The orientation convention for this whole slice: yaw about world +Y, then pitch about the yawed X, then roll about the twice-turned Z. Positive yaw turns +Z toward +X (right). Positive pitch tips the local forward upward. Positive roll tips the local up toward -X.

argtypedescription
yawnumber
pitchnumber
rollnumber

lookRotation(dx: number, dy: number, dz: number, roll: number) → void

The rotation that makes a CAMERA look along (dx, dy, dz), with `roll` radians of tilt. A camera's own forward is -Z, so the yaw derived from a +Z-forward aim vector points it exactly backwards; the half-turn is what makes it look AT the subject instead of away from it, and the pitch is measured against the aim, not against the yawed axis.

argtypedescription
dxnumber
dynumber
dznumber
rollnumber

rotate(q: any, vx: number, vy: number, vz: number) → void

Rotate (vx, vy, vz) by the quaternion {x, y, z, w}.

argtypedescription
qany
vxnumber
vynumber
vznumber

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backing path · locust/control/controlMath.module

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