Struct nalgebra::Vec4

pub struct Vec4<N> {
    pub x: N,
    pub y: N,
    pub z: N,
    pub w: N,
}

[−] Expand description

Vector of dimension 4.

Fields

x: N

[−] Expand description

First component of the vector.

y: N

[−] Expand description

Second component of the vector.

z: N

[−] Expand description

Third component of the vector.

w: N

[−] Expand description

Fourth component of the vector.

Methods

impl<N> Vec4<N>

fn new(x: N, y: N, z: N, w: N) -> Vec4<N>[−]

Creates a new vector.

impl<N: Zero + One> Vec4<N>

fn x() -> Vec4<N>[−]

Create a unit vector with its $compN component equal to 1.0.

fn y() -> Vec4<N>[−]

Create a unit vector with its $compN component equal to 1.0.

fn z() -> Vec4<N>[−]

Create a unit vector with its $compN component equal to 1.0.

fn w() -> Vec4<N>[−]

Create a unit vector with its $compN component equal to 1.0.

impl<N: Copy> Vec4<N>

unsafe fn at_fast(&self, i: usize) -> N[−]

Unsafe read access to a vector element by index.

unsafe fn set_fast(&mut self, i: usize, val: N)[−]

Unsafe write access to a vector element by index.

impl<N> Vec4<N>

fn len(&self) -> usize

impl<N> Vec4<N>

fn to_pnt(self) -> Pnt4<N>

fn as_pnt(&self) -> &Pnt4<N>

Trait Implementations

impl<N: Copy> Copy for Vec4<N>

impl<N: Debug> Debug for Vec4<N>

fn fmt(&self, __arg_0: &mut Formatter) -> Result[−]

Formats the value using the given formatter.

impl<N: Hash> Hash for Vec4<N>

fn hash<__HN: Hasher>(&self, __arg_0: &mut __HN)[−]

Feeds this value into the state given, updating the hasher as necessary.

fn hash_slice<H>(data: &[Self], state: &mut H) where H: Hasher[−]

Feeds a slice of this type into the state provided.

impl<N: Clone> Clone for Vec4<N>

fn clone(&self) -> Vec4<N>[−]

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)[−]

Performs copy-assignment from source.

impl<N: Decodable> Decodable for Vec4<N>

fn decode<__DN: Decoder>(__arg_0: &mut __DN) -> Result<Vec4<N>, __DN::Error>

impl<N: Encodable> Encodable for Vec4<N>

fn encode<__SN: Encoder>(&self, __arg_0: &mut __SN) -> Result<(), __SN::Error>

impl<N: PartialEq> PartialEq for Vec4<N>

fn eq(&self, __arg_0: &Vec4<N>) -> bool[−]

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

fn ne(&self, __arg_0: &Vec4<N>) -> bool[−]

This method tests for !=.

impl<N: Eq> Eq for Vec4<N>

impl<N: BaseFloat> POrd for Vec4<N>

fn inf(&self, other: &Vec4<N>) -> Vec4<N>[−]

Returns the infimum of this value and another

fn sup(&self, other: &Vec4<N>) -> Vec4<N>[−]

Returns the supremum of this value and another

fn partial_cmp(&self, other: &Vec4<N>) -> POrdering[−]

Compare self and other using a partial ordering relation.

fn partial_lt(&self, other: &Vec4<N>) -> bool[−]

Returns true iff self and other are comparable and self < other.

fn partial_le(&self, other: &Vec4<N>) -> bool[−]

Returns true iff self and other are comparable and self <= other.

fn partial_gt(&self, other: &Vec4<N>) -> bool[−]

Returns true iff self and other are comparable and self > other.

fn partial_ge(&self, other: &Vec4<N>) -> bool[−]

Returns true iff self and other are comparable and self >= other.

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>[−]

Return the minimum of self and other if they are comparable.

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>[−]

Return the maximum of self and other if they are comparable.

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>[−]

Clamp value between min and max. Returns None if value is not comparable to min or max.

impl<Nin: Copy, Nout: Copy + Cast<Nin>> Cast<Vec4<Nin>> for Vec4<Nout>

fn from(v: Vec4<Nin>) -> Vec4<Nout>[−]

Converts an element of type T to an element of type Self.

impl<N> AsRef<[N; 4]> for Vec4<N>

fn as_ref(&self) -> &[N; 4][−]

Performs the conversion.

impl<N> AsMut<[N; 4]> for Vec4<N>

fn as_mut(&mut self) -> &mut [N; 4][−]

Performs the conversion.

impl<'a, N> From<&'a [N; 4]> for &'a Vec4<N>

fn from(arr: &'a [N; 4]) -> &'a Vec4<N>[−]

Performs the conversion.

impl<'a, N> From<&'a mut [N; 4]> for &'a mut Vec4<N>

fn from(arr: &'a mut [N; 4]) -> &'a mut Vec4<N>[−]

Performs the conversion.

impl<N> Index<usize> for Vec4<N>

type Output = N

The returned type after indexing

fn index(&self, i: usize) -> &N[−]

The method for the indexing (Foo[Bar]) operation

impl<N> IndexMut<usize> for Vec4<N>

fn index_mut(&mut self, i: usize) -> &mut N[−]

The method for the indexing (Foo[Bar]) operation

impl<N> Shape<usize> for Vec4<N>

fn shape(&self) -> usize[−]

Returns the shape of an indexable object.

impl<N: Copy> Indexable<usize, N> for Vec4<N>

fn swap(&mut self, i1: usize, i2: usize)[−]

Swaps the i-th element of self with its j-th element.

unsafe fn unsafe_at(&self, i: usize) -> N[−]

Reads the i-th element of self.

unsafe fn unsafe_set(&mut self, i: usize, val: N)[−]

Writes to the i-th element of self.

impl<N: Copy> Repeat<N> for Vec4<N>

fn repeat(val: N) -> Vec4<N>[−]

Creates a new vector with all its components equal to a given value.

impl<N> Dim for Vec4<N>

fn dim(_: Option<Vec4<N>>) -> usize[−]

The dimension of the object.

impl<N: BaseFloat + ApproxEq<N>> Basis for Vec4<N>

fn canonical_basis<F: FnMut(Vec4<N>) -> bool>(f: F)[−]

Iterates through the canonical basis of the space in which this object lives.

fn orthonormal_subspace_basis<F: FnMut(Vec4<N>) -> bool>(n: &Vec4<N>, f: F)[−]

Iterates through a basis of the subspace orthogonal to self.

fn canonical_basis_element(i: usize) -> Option<Vec4<N>>[−]

Gets the ith element of the canonical basis.

impl<N: Add<N, Output=N>> Add<Vec4<N>> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the + operator

fn add(self, right: Vec4<N>) -> Vec4<N>[−]

The method for the + operator

impl<N: Sub<N, Output=N>> Sub<Vec4<N>> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the - operator

fn sub(self, right: Vec4<N>) -> Vec4<N>[−]

The method for the - operator

impl<N: Copy + Mul<N, Output=N>> Mul<Vec4<N>> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the * operator

fn mul(self, right: Vec4<N>) -> Vec4<N>[−]

The method for the * operator

impl<N: Copy + Div<N, Output=N>> Div<Vec4<N>> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the / operator

fn div(self, right: Vec4<N>) -> Vec4<N>[−]

The method for the / operator

impl<N: Copy + Add<N, Output=N>> Add<N> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the + operator

fn add(self, right: N) -> Vec4<N>[−]

The method for the + operator

impl<N: Copy + Sub<N, Output=N>> Sub<N> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the - operator

fn sub(self, right: N) -> Vec4<N>[−]

The method for the - operator

impl<N: Copy + Mul<N, Output=N>> Mul<N> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the * operator

fn mul(self, right: N) -> Vec4<N>[−]

The method for the * operator

impl<N: Copy + Div<N, Output=N>> Div<N> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the / operator

fn div(self, right: N) -> Vec4<N>[−]

The method for the / operator

impl<N: Neg<Output=N> + Copy> Neg for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the - operator

fn neg(self) -> Vec4<N>[−]

The method for the unary - operator

impl<N: BaseNum> Dot<N> for Vec4<N>

fn dot(&self, other: &Vec4<N>) -> N[−]

Computes the dot (inner) product of two vectors.

impl<N: Copy + Add<N, Output=N> + Neg<Output=N>> Translation<Vec4<N>> for Vec4<N>

fn translation(&self) -> Vec4<N>[−]

Gets the translation associated with this object.

fn inv_translation(&self) -> Vec4<N>[−]

Gets the inverse translation associated with this object.

fn append_translation_mut(&mut self, t: &Vec4<N>)[−]

Appends a translation to this object.

fn append_translation(&self, t: &Vec4<N>) -> Vec4<N>[−]

Appends the translation amount to a copy of t.

fn prepend_translation_mut(&mut self, t: &Vec4<N>)[−]

Prepends a translation to this object.

fn prepend_translation(&self, t: &Vec4<N>) -> Vec4<N>[−]

Prepends the translation amount to a copy of t.

fn set_translation(&mut self, t: Vec4<N>)[−]

Sets the translation.

impl<N: BaseFloat> Norm<N> for Vec4<N>

fn sqnorm(&self) -> N[−]

Computes the squared norm of self.

fn normalize(&self) -> Vec4<N>[−]

Gets the normalized version of a copy of v.

fn normalize_mut(&mut self) -> N[−]

Normalizes self.

fn norm(&self) -> N[−]

Computes the norm of self.

impl<N: ApproxEq<N>> ApproxEq<N> for Vec4<N>

fn approx_epsilon(_: Option<Vec4<N>>) -> N[−]

Default epsilon for approximation.

fn approx_ulps(_: Option<Vec4<N>>) -> u32[−]

Default ULPs for approximation.

fn approx_eq(&self, other: &Vec4<N>) -> bool[−]

Tests approximate equality.

fn approx_eq_eps(&self, other: &Vec4<N>, eps: &N) -> bool[−]

Tests approximate equality using a custom epsilon.

fn approx_eq_ulps(&self, other: &Vec4<N>, ulps: u32) -> bool[−]

Tests approximate equality using units in the last place (ULPs)

impl<N> One for Vec4<N> where N: Copy + One + Sub<N, Output=N> + Add<N, Output=N>

fn one() -> Vec4<N>[−]

Returns the multiplicative identity element of Self, 1.

impl<N: Zero> Zero for Vec4<N>

fn zero() -> Vec4<N>[−]

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool[−]

Returns true if self is equal to the additive identity.

impl<N> FromIterator<N> for Vec4<N>

fn from_iter<I: IntoIterator<Item=N>>(iterator: I) -> Vec4<N>[−]

Creates a value from an iterator.

impl<N: Bounded> Bounded for Vec4<N>

fn max_value() -> Vec4<N>[−]

The maximum value.

fn min_value() -> Vec4<N>[−]

The minimum value.

impl<N: Axpy<N>> Axpy<N> for Vec4<N>

fn axpy(&mut self, a: &N, x: &Vec4<N>)[−]

Adds $$a * x$$ to self.

impl<N> Iterable<N> for Vec4<N>

fn iter<'l>(&'l self) -> Iter<'l, N>[−]

Gets a vector-like read-only iterator.

impl<N> IterableMut<N> for Vec4<N>

fn iter_mut<'l>(&'l mut self) -> IterMut<'l, N>[−]

Gets a vector-like read-write iterator.

impl<N: Copy + One + Zero> ToHomogeneous<Vec5<N>> for Vec4<N>

fn to_homogeneous(&self) -> Vec5<N>[−]

Gets the homogeneous coordinates form of this object.

impl<N: Copy + Div<N, Output=N> + One + Zero> FromHomogeneous<Vec5<N>> for Vec4<N>

fn from(v: &Vec5<N>) -> Vec4<N>[−]

Builds an object from its homogeneous coordinate form.

impl<N: Copy + Add<N, Output=N> + Sub<N, Output=N>> Translate<Pnt4<N>> for Vec4<N>

fn translate(&self, other: &Pnt4<N>) -> Pnt4<N>[−]

Apply a translation to an object.

fn inv_translate(&self, other: &Pnt4<N>) -> Pnt4<N>[−]

Apply an inverse translation to an object.

impl<N, O: Copy> Rotate<O> for Vec4<N>

fn rotate(&self, other: &O) -> O[−]

Applies a rotation to v.

fn inv_rotate(&self, other: &O) -> O[−]

Applies an inverse rotation to v.

impl<N: Copy + Add<N, Output=N> + Sub<N, Output=N>> Transform<Pnt4<N>> for Vec4<N>

fn transform(&self, other: &Pnt4<N>) -> Pnt4<N>[−]

Applies a transformation to v.

fn inv_transform(&self, other: &Pnt4<N>) -> Pnt4<N>[−]

Applies an inverse transformation to v.

impl<N> NumVec<N> for Vec4<N> where N: BaseNum

impl<N> FloatVec<N> for Vec4<N> where N: BaseFloat + ApproxEq<N>

impl<N: Absolute<N>> Absolute<Vec4<N>> for Vec4<N>

fn abs(m: &Vec4<N>) -> Vec4<N>[−]

Computes some absolute value of this object. Typically, this will make all component of a matrix or vector positive.

impl<N: Rand> Rand for Vec4<N>

fn rand<R: Rng>(rng: &mut R) -> Vec4<N>[−]

Generates a random instance of this type using the specified source of randomness.

impl<N: Copy + BaseNum> Mul<Mat4<N>> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the * operator

fn mul(self, right: Mat4<N>) -> Vec4<N>[−]

The method for the * operator

impl<N: Copy + Mul<N, Output=N> + Zero> Outer for Vec4<N>

type OuterProductType = Mat4<N>

Result type of the outer product.

fn outer(&self, other: &Vec4<N>) -> Mat4<N>[−]

Computes the outer product: a * b

impl<N: BaseNum> Mul<Rot4<N>> for Vec4<N>

type Output = Vec4<N>

The resulting type after applying the * operator

fn mul(self, right: Rot4<N>) -> Vec4<N>[−]

The method for the * operator

impl<N: Cast<f64> + Copy> UniformSphereSample for Vec4<N>

fn sample<F: FnMut(Vec4<N>)>(_: F)[−]

Iterate through the samples.