CFrame

Represents a Roblox CFrame Datatype.

There is an optional coord parameter representing each coordinate (x, y, z) which defaults to f32. A CFrame's Orientation requires exactly six¹ bytes to represent.

`function light.datatypes.cframe`

Shared Synchronous
function cframe(
    coord: Datatype<number>?
): (Datatype<CFrame>)

Technical Details

CFrame orientation is encoded with Axis-Angles representation. The accuracy of each component varies depending on the X axis.

Axis Accuracy

Inputs	± `X` Axis	± `Y` Axis	± <= `Z` Axis
X = `0.00`	`0.000030518`	`0.000061035`	`0.000091553`
X = `0.10`	`0.000030518`	`0.000060729`	`0.000091247`
X = `0.20`	`0.000030518`	`0.000059802`	`0.000090320`
X = `0.30`	`0.000030518`	`0.000058224`	`0.000088741`
X = `0.40`	`0.000030518`	`0.000055940`	`0.000086457`
X = `0.50`	`0.000030518`	`0.000052857`	`0.000083376`
X = `0.60`	`0.000030518`	`0.000048828`	`0.000079346`
X = `0.70`	`0.000030518`	`0.000043587`	`0.000074105`
X = `0.80`	`0.000030518`	`0.000036621`	`0.000067139`
X = `0.90`	`0.000030518`	`0.000026604`	`0.000057122`
X = `1`	`0.000030518`	`0.000000000`	`0.000030518`

Angles Accuracy

The "Angles" portion of Axis-Angles has an error flooring to the nearest 0.00549324788°

(Even More) Technical Details

The Z axis error is less than or equal to the sum of the X and Y error. You can get the Y axis error with the following formula:
( 2 · (1 - X ^ 2) ^ 0.5 ) / 2 ^ 15
Want to know why? See The Internals Blog