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Frame

How THE EIGHTH KETYL is framed, at any screen shape.

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

staging.Frame

How THE EIGHTH KETYL is framed, at any screen shape.

A shot is authored here as a world box it has to hold — so many units tall, so many units wide — and the distance and the lens are solved for the screen as it is right now. Nothing in this module is a pixel and nothing in it is a number picked while looking at one viewport.

The game films at 1080x1440, so the vertical extent usually decides the shot: a wider screen holding the same vertical box simply gains margin at the sides. On a screen TALLER than 3:4 the horizontal extent takes over, and past DISTANCE_CAP the camera opens the lens rather than backing out through the glass wall of the still.

local Frame = require("staging.Frame")

local shot = Frame.play(ketylRadius)     -- dist, fov, orbitLimit, aspect, portrait
local R    = Frame.eyeRadius(r, shot.dist, 0)   -- where the eye stands, from the axis
local p    = Frame.ring(angle, y, 0.85)         -- a point just inside the glass

The gameplay box
PLAY_V12.0World units of height the playing shot holds — the plate you are on to the underside of the plate above.
PLAY_H9.4World units of width — the room the ketyl is read moving in, not the whole plate.
FOV_BASE / FOV_MAX58° / 78°The lens it prefers, and how wide it may open on a very tall screen.
AIM_RISE / EYE_RISE2.3 / 3.3The aim point above the plate floor, and the eye above that — a look down of about seventeen degrees.
EYE_MAX_RADIUSCOLUMN_RADIUS - 0.4The eye never leaves the still.

Solving the orbit

Frame.play(r) returns orbitLimit, the angle the eye may be swung off "directly across the column" before its solved radius would reach the wall:

R(d) = r·cos d + sqrt(dist² − r²·sin² d)          ≤ Rmax
  ⟺  cos d ≤ (Rmax² − dist² + r²) / (2·Rmax·r)

Frame.eyeRadius(r, dist, delta) is that solve, clamped inside the still. The cinematics in staging.Beats place every one of their stations with it, so a beat filmed on a phone and the same beat on a television are the same shot.

Interface

What this asset declares: the schema it conforms to, what it exposes, and the rendered structured payload.

conforms to

zero/source-extract/v2

staging.Frame — how THE EIGHTH KETYL is framed, at any screen shape. One idea runs through this file: a shot is authored as a WORLD BOX it has to hold — so many units tall, so many units wide — and the distance and the lens are solved for the screen as it is right now. Nothing here is a pixel and nothing here is a number picked while looking at one viewport. The filmed shape is 3:4 (1080x1440), taller than wide, so the vertical extent is the one that usually decides the shot: a wider screen holding the same vertical box simply gains margin at the sides, which is the rule the design spec asks for. On a screen TALLER than 3:4 the horizontal extent takes over and the camera would have to retreat past the glass wall of the still — so past a cap it opens the lens instead of backing out of the room. local Frame = require("staging.Frame") local shot = Frame.play(ketylRadius) -- distance, fov, orbit limit

aspect( ) → number

The live screen's aspect ratio, width over height.

examples

if Frame.aspect() < 1 then -- the screen is taller than it is wide

halfTan(fovDeg: number) → number

Half the vertical world extent one unit of distance covers at a lens.

argtypedescription
fovDegnumberVertical field of view in degrees.

distanceFor(vExtent: number, hExtent: number, fovDeg: number, aspect: number) → number

The distance at which a lens holds a world box of the given extents.

argtypedescription
vExtentnumberWorld units of height to hold.
hExtentnumberWorld units of width to hold.
fovDegnumberVertical field of view in degrees.
aspectnumberScreen width over height.

examples

local d = Frame.distanceFor(12, 8.2, 58, Frame.aspect())

fovFor(vExtent: number, hExtent: number, dist: number, aspect: number) → number

The lens that holds a world box at a fixed distance.

argtypedescription
vExtentnumberWorld units of height to hold.
hExtentnumberWorld units of width to hold.
distnumberThe distance the camera is standing at.
aspectnumberScreen width over height.

examples

local fov = Frame.fovFor(12, 8.2, 10.8, Frame.aspect())

play(ketylRadius: number) → Shot

Solve the playing shot for the live screen: how far the eye stands from the ketyl, what lens it wears, and how far round the column it may swing before it would have to leave the still.

argtypedescription
ketylRadiusnumberHow far the ketyl is from the column's axis, in world units.

examples

local s = Frame.play(4.5); print(s.dist, s.fov)

eyeRadius(r: number, dist: number, delta: number) → number

The eye's distance from the column axis that puts it `dist` from a ketyl standing `r` out, when the eye is `delta` radians round the column from the point directly across the axis from that ketyl.

argtypedescription
rnumberThe ketyl's distance from the axis.
distnumberThe distance the eye wants from the ketyl.
deltanumberRadians off "directly across", zero being across.

examples

local R = Frame.eyeRadius(4.5, 10.8, 0)

ring(angle: number, y: number, radiusFrac: number) →

A point on the circle inside the glass wall, at a height.

argtypedescription
anglenumberRadians about +Y, measured from world +Z.
ynumberWorld height.
radiusFracnumberFraction of the usable interior radius, 0 at the axis.

examples

local p = Frame.ring(0.4, Still.plateY(1) + 3, 0.8)

vistaDrop( ) → number

How far below a plate the shaft has to be entered from for the plates above it to stack up the frame on the live screen. Taller screens see more of the column from the same spot, so they stand a little closer.

⌬ Types
Shot = {

Sub-parts

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module · born here
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# Still One-paragraph description of what this module provides and who consumes it. ## Exports - `M.exampleFn(arg) -> result` — what it does and when to call it. - `M.exampleValue: type` — what value it carries. ## Usage Replace `<identity>` with the string `asset.create` returned — this module's source path with `/` written as `.` and each segment's type suffix dropped, the way a module at `/source/lib/thing.module` is `lib.thing` and one at `/source/kit.package/thing.module` is `kit.thing`. ```luau local M = require("<identity>") M.exampleFn("foo") ``` ## Notes - Anything callers need to know about THIS module: required runtime ordering, state ownership, side effects.
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backing path · staging/Frame.module

Problems

Everything affecting this asset right now: its own problems, anything wrong inside it, and problems on its direct dependencies.

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No problems reported. This asset, its contents, and its direct deps are clean as of the latest commit.
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