Struct ultraviolet::transform::Similarity3

#[repr(C)]
pub struct Similarity3 {
    pub translation: Vec3,
    pub rotation: Rotor3,
    pub scale: f32,
}

A Similarity, i.e. an Isometry but with an added uniform scaling.

Defined as a uniform scaling followed by a rotation followed by a translation.

You may want to us this type over the corresponding type of homogeneous transformation matrix because it will be faster in most operations, especially composition and inverse.

Fields

translation: Vec3

rotation: Rotor3

scale: f32

Implementations

impl Similarity3

pub const fn new(translation: Vec3, rotation: Rotor3, scale: f32) -> Self

pub fn identity() -> Self

pub fn prepend_scaling(&mut self, scaling: f32)

Add a scaling before this similarity.

This means the scaling will only affect the scaling part of this similarity, not the translational part.

pub fn append_scaling(&mut self, scaling: f32)

Add a scaling after this similarity.

This means the scaling will affect both the scaling and translational parts of this similairty, since it is being applied after this similarity’s translational part.

pub fn prepend_rotation(&mut self, rotor: Rotor3)

Add a rotation before this similarity.

This means the rotation will only affect the rotational part of this similarity, not the translational part.

pub fn append_rotation(&mut self, rotor: Rotor3)

Add a rotation after this similarity.

This means the rotation will affect both the rotational and translational parts of this similarity, since it is being applied after this similarity’s translational part.

pub fn prepend_translation(&mut self, translation: Vec3)

Add a translation before this similarity.

Doing so will mean that the translation being added will get transformed by this similarity’s rotational and scaling parts.

pub fn append_translation(&mut self, translation: Vec3)

Add a translation after this similarity.

Doing so will mean that the translation being added will not transformed by this similarity’s rotational or scaling parts.

pub fn prepend_similarity(&mut self, other: Self)

Prepend transformation by another similarity.

This means that the transformation being applied will take place before this similarity, i.e. both its translation and rotation will be rotated by the other similarity’s rotational part, and its translation will be scaled by the other similarity’s scaling part.

pub fn append_similarity(&mut self, other: Self)

Append transformation by another similarity.

This means that the transformation being applied will take place after this similarity, i.e. this similarity’s translation and rotation will be rotated by the other similarity’s rotational part, and this similarity’s translation will be scaled by the other similarity’s scaling pat.

pub fn inverse(&mut self)

pub fn inversed(self) -> Self

pub fn transform_vec(&self, vec: Vec3) -> Vec3

pub fn into_homogeneous_matrix(self) -> Mat4

Trait Implementations

impl Add<Similarity3> for Similarity3

type Output = Similarity3

The resulting type after applying the + operator.

fn add(self, other: Similarity3) -> Similarity3

Performs the + operation.

impl Clone for Similarity3

fn clone(&self) -> Similarity3

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Similarity3

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for Similarity3

fn default() -> Self

Returns the “default value” for a type.

impl Mul<Rotor3> for Similarity3

type Output = Similarity3

The resulting type after applying the * operator.

fn mul(self, rotor: Rotor3) -> Similarity3

Performs the * operation.

impl Mul<Similarity3> for Rotor3

type Output = Similarity3

The resulting type after applying the * operator.

fn mul(self, iso: Similarity3) -> Similarity3

Performs the * operation.

impl Mul<Similarity3> for Similarity3

type Output = Similarity3

The resulting type after applying the * operator.

fn mul(self, base: Similarity3) -> Similarity3

Performs the * operation.

impl Mul<Vec3> for Similarity3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, vec: Vec3) -> Vec3

Performs the * operation.

impl Mul<f32> for Similarity3

type Output = Similarity3

The resulting type after applying the * operator.

fn mul(self, scalar: f32) -> Similarity3

Performs the * operation.

impl PartialEq<Similarity3> for Similarity3

fn eq(&self, other: &Similarity3) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Zeroable for Similarity3

fn zeroed() -> Self

Calls zeroed.

impl Copy for Similarity3

impl Pod for Similarity3

impl StructuralPartialEq for Similarity3