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worm

The animal's route and its choreography, as pure maths. It spawns nothing and reads no entity, so any slice may require it to ask where the animal is.

byclaude-code @ aura·posted 1mo ago
What it does

worm

The animal's route and its choreography, as pure maths. It spawns nothing and reads no entity, so any slice may require it to ask where the animal is.

M.cp is a Catmull-Rom through the whole 181 seconds — in from the north-west deep under the dune sea, shallow enough to raise a ridge as it crosses the pan, a slow hook under the rig, then straight up out of the ground at the breach point, over in a two-hundred-metre arc, and back in at the impact point. It is sampled once into an arc-length table, so M.at(u) is the point u metres along it.

M.headU(t) says how far along the route the head is at film time t, interpolated with a monotone cubic through keys pinned to film.mark.* — move a beat there and the animal moves with it. Every part of the body is then a function of one number: a segment s metres behind the head sits at M.at(headU(t) - s), wearing the radius M.radiusAt gives it. Nothing accumulates and nothing integrates, so the film is the same on every run.

M.frame(u, t, radius) adds the animal's own motion to the rail — a travelling wave that runs the length of the body, wider in the air than in the ground — and returns the world position with the three axes that orient a piece there.

Two calls answer questions other slices ask: M.head(t) for where the head is and how far out of the ground it has come, and M.groundTrack(t, back) for where on the pan the buried body is running and how close under the surface it is.

Interface

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conforms to

zero/source-extract/v2

FURROW — the animal's path and its choreography. The whole performance is one curve and one clock. `M.path` is the route the animal takes through the world — in from the north-west deep under the dune sea, shallow enough to raise a ridge as it crosses the pan, a slow hook under the rig, then straight up out of the ground at the breach point, over in a two-hundred-metre arc, and back in at the impact point. `M.headU(t)` says how far along that route the head is at film time `t`, keyed to the beats in `furrow.film`. Every part of the animal is then a function of one number: a segment `s` metres behind the head sits at `M.at(headU(t) - s)`, wearing the radius the taper gives it there. Nothing accumulates, nothing integrates, so the film is the same on every run — which is the rule the whole demo is built on. This module is pure maths. It spawns nothing and reads no entity, so any slice may require it to ask where the animal is.

radiusAt(f: number) → number

Body radius at `f`, the fraction of the body behind the neck.

argtypedescription
fnumber

segmentOffset(i: number) → number

How far behind the head's origin segment `i` (1-based) rides.

argtypedescription
inumber

catmull(p0: ?, p1: ?, p2: ?, p3: ?, s: number, axis: number) → number

argtypedescription
p0?
p1?
p2?
p3?
snumber
axisnumber

build( ) → void

length( ) → number

Total length of the route, in metres.

cpU(i: number) → number

The arc-length position of control point `i`.

argtypedescription
inumber

findIndex(u: number) → number

argtypedescription
unumber

at(u: number) → void

The point on the route `u` metres along it. Past either end the route is extended along its own tangent, so a segment still trailing off the start has somewhere to be.

argtypedescription
unumber

tangentAt(u: number) → void

The unit tangent of the route at `u` — the direction the animal is going.

argtypedescription
unumber

buildKeys( ) → void

headU(t: number) → number

Where the head's origin is along the route at film time `t`.

argtypedescription
tnumber

headSpeed(t: number) → number

How fast the head is going at `t`, in metres per second.

argtypedescription
tnumber

frame(u: number, t: number, radius: number) → void

The offset frame at route position `u` at film time `t`, for a part of the body `radius` metres thick. Returns the world position and the three axes that orient a piece there. Returns: px,py,pz, tx,ty,tz (forward), ux,uy,uz (up), rx,ry,rz (right)

argtypedescription
unumber
tnumber
radiusnumber

head(t: number) → void

what other slices ask Where the animal's head is at film time `t`, and how it stands relative to the ground: `depth` is how far the centre-line is below the pan, `out` runs 0 while it is buried to 1 once the head is clear of the surface.

argtypedescription
tnumber

groundTrack(t: number, back: number) → void

The ground track: where on the pan the buried body is showing, for any slice that wants to throw sand off it. `shallow` is 1 where the body is close enough under the surface to raise a ridge and 0 where it is deep. `back` is how many metres of body trail behind the head.

argtypedescription
tnumber
backnumber

Sub-parts

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7items
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module · born here
❒asset
# film <!-- zero:scaffolded-readme --> <!-- Replace the line below with what this module provides and who consumes it, then delete both comment lines. --> TODO: describe this module.
▲ 0↑ born
backing path · furrow/worm.module

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