Struct nalgebra::geometry::Translation

impl<T: Scalar, const D: usize> Translation<T, D>

pub fn from_vector(vector: SVector<T, D>) -> Translation<T, D>

👎Deprecated: Use ::from instead.

Translate the given point.

This is the same as the multiplication self * pt.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(5.0, 7.0, 9.0));

impl<T: Scalar + ClosedSub, const D: usize> Translation<T, D>

pub fn inverse_transform_point(&self, pt: &Point<T, D>) -> Point<T, D>

Translate the given point by the inverse of this translation.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.inverse_transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(3.0, 3.0, 3.0));

Initializes this translation from its components.

Example

let t = Translation1::new(1.0);
assert!(t.vector.x == 1.0);

impl<T> Translation<T, 2>

pub const fn new(x: T, y: T) -> Self

Initializes this translation from its components.

Example

let t = Translation2::new(1.0, 2.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0);

impl<T> Translation<T, 3>

pub const fn new(x: T, y: T, z: T) -> Self

Initializes this translation from its components.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0);

impl<T> Translation<T, 4>

pub const fn new(x: T, y: T, z: T, w: T) -> Self

Initializes this translation from its components.

Example

let t = Translation4::new(1.0, 2.0, 3.0, 4.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0);

impl<T> Translation<T, 5>

pub const fn new(x: T, y: T, z: T, w: T, a: T) -> Self

Initializes this translation from its components.

Example

let t = Translation5::new(1.0, 2.0, 3.0, 4.0, 5.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0);

impl<T> Translation<T, 6>

pub const fn new(x: T, y: T, z: T, w: T, a: T, b: T) -> Self

Initializes this translation from its components.

Example

let t = Translation6::new(1.0, 2.0, 3.0, 4.0, 5.0, 6.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0 && t.vector.b == 6.0);

Trait Implementations§

impl<T: Scalar + AbsDiffEq, const D: usize> AbsDiffEq<Translation<T, D>> for Translation<T, D>where T::Epsilon: Clone,

type Epsilon = <T as AbsDiffEq<T>>::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together. Read more

fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl<T: RealField + RealField, const D: usize> AbstractMagma<Multiplicative> for Translation<T, D>

fn operate(&self, rhs: &Self) -> Self

Performs an operation.

fn op(&self, _: O, lhs: &Self) -> Self

Performs specific operation.

fn arbitrary(rng: &mut Gen) -> Self

Return an arbitrary value. Read more

fn shrink(&self) -> Box<dyn Iterator<Item = Self>, Global>

Return an iterator of values that are smaller than itself. Read more

impl<T, const D: usize> Archive for Translation<T, D>where T: Archive, SVector<T, D>: Archive<Archived = SVector<T::Archived, D>>, SVector<T, D>: Archive,

type Archived = Translation<<T as Archive>::Archived, D>

impl<T: Debug, const D: usize> Debug for Translation<T, D>

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

Formats the value using the given formatter. Read more

fn two_sided_inverse(&self) -> Self

The resolver for the metadata of this type. Read more

unsafe fn resolve_metadata( &self, _: usize, _: <T as ArchiveUnsized>::MetadataResolver, _: *mut <<T as ArchiveUnsized>::Archived as ArchivePointee>::ArchivedMetadata )

Creates the archived version of the metadata for this value at the given position and writes it to the given output. Read more

default fn get_hash<H, B>(value: &H, build_hasher: &B) -> u64where H: Hash + ?Sized, B: BuildHasher,

impl<T> CheckedBitPattern for Twhere T: AnyBitPattern,

type Bits = T

Self must have the same layout as the specified Bits except for the possible invalid bit patterns being checked during is_valid_bit_pattern.

Serializes the metadata for the given type.

impl<SS, SP> SupersetOf<SS> for SPwhere SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

impl<SS, SP> SupersetOf<SS> for SPwhere SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).