DatumHuePlatform v0.0.24datumhue.com
Contents

handle16 methods, 4 fields, 1 operator

Quat

A rotation quaternion (radians). Construct with datumhue.math.quat.from_euler(...) etc.

Obtained from
datumhue.math.quat.identity, datumhue.math.quat.from_euler, datumhue.math.quat.from_axis_angle, datumhue.math.quat.from_rotation_x, datumhue.math.quat.from_rotation_y, datumhue.math.quat.from_rotation_z, datumhue.math.quat.from_rotation_arc, datumhue.math.quat.from_scaled_axis and 4 more
Accepted by
datumhue.physics.shapecast, datumhue.voxel.new, Scene:cube, Scene:sphere, Scene:plane, Scene:cylinder, Scene:capsule, Scene:torus and 9 more
Operators
Quat * Quat | Vec3 -> Quat | Vec3 Compose with another quaternion (q * q), or rotate a vector (q * vec3).

The examples on this page start from:

lua
local quarter = datumhue.math.quat.from_rotation_y(math.pi / 2)

Fields 4

FieldTypeAccessDescription
xnumberread-onlyX component.
ynumberread-onlyY component.
znumberread-onlyZ component.
wnumberread-onlyW (scalar) component.

Methods 16

Quat:normalize

method
Quat:normalize() -> Quat

Unit-length quaternion. Raises if q is zero-length / non-finite; use normalize_or or try_normalize for a fallback.

Quat:normalize_or

method
Quat:normalize_or(fallback: Quat) -> Quat

Unit-length quaternion, or fallback if q is zero-length / non-finite.

Quat:try_normalize

method
Quat:try_normalize() -> Quat?

Unit-length quaternion, or nil if q is zero-length / non-finite.

Quat:inverse

method
Quat:inverse() -> Quat

Inverse rotation.

Quat:conjugate

method
Quat:conjugate() -> Quat

Conjugate (-x, -y, -z, w).

Quat:dot

method
Quat:dot(o: Quat) -> number

Dot product (cosine of the angle between the rotations).

Quat:length

method
Quat:length() -> number

Magnitude.

Quat:angle_between

method
Quat:angle_between(o: Quat) -> number

Angle in radians between two rotations.

Quat:slerp

method
Quat:slerp(o: Quat, t: number) -> Quat

Spherical interpolation toward o by t.

Example
-- Halfway from no turn to a quarter turn is an eighth turn.
local none = datumhue.math.quat.identity()
local half = none:slerp(quarter, 0.5)
print(string.format("%.4f", half:angle_between(none))) --> 0.7854

Quat:lerp

method
Quat:lerp(o: Quat, t: number) -> Quat

Normalized linear interpolation toward o by t, along the shorter arc. t outside 0..1 extrapolates, and the result is renormalized so it stays a unit rotation.

Quat:is_normalized

method
Quat:is_normalized() -> boolean

Whether the quaternion is unit length.

Quat:to_euler

method
Quat:to_euler() -> Vec3

Euler angles (radians, XYZ order) as a vec3.

Example
-- Radians about X, Y and Z, as from_euler takes them.
local q = datumhue.math.quat.from_euler(0.1, 0.2, 0.3)
local e = q:to_euler()
print(string.format("%.2f %.2f %.2f", e.x, e.y, e.z)) --> 0.10 0.20 0.30

Quat:to_scaled_axis

method
Quat:to_scaled_axis() -> Vec3

Scaled-axis form (axis * angle) — the inverse of quat.from_scaled_axis.

Quat:to_array

method
Quat:to_array() -> number[]

Components as an {x, y, z, w} array.

Quat:to_axis_angle

method
Quat:to_axis_angle() -> Vec3, number

Return the rotation axis (unit vec3) and angle (radians) as two values.

Example
local axis, angle = quarter:to_axis_angle()
print(axis) --> vec3(0.0, 1.0, 0.0)
print(string.format("%.4f", angle)) --> 1.5708

Quat:unpack

method
Quat:unpack() -> number, number, number, number

Return the x, y, z and w components as four values.

Example
-- x, y and z first, w last.
local x, y, z, w = datumhue.math.quat.identity():unpack()
print(x, y, z, w) --> 0.0 0.0 0.0 1.0

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Victor Mono is licensed under the SIL Open Font License 1.1
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This Font Software is licensed under the SIL Open Font License, Version 1.1.
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