Struct cgmath::Vector3

#[repr(C)]
pub struct Vector3<S> {
    pub x: S,
    pub y: S,
    pub z: S,
}

A 3-dimensional vector.

This type is marked as #[repr(C)].

Fields

x: S

The x component of the vector.

y: S

The y component of the vector.

z: S

The z component of the vector.

Methods

impl<S> Vector3<S>

pub const fn new(x: S, y: S, z: S) -> Vector3<S>

Construct a new vector, using the provided values.

pub fn map<U, F>(self, f: F) -> Vector3<U> where
    F: FnMut(S) -> U, 

Perform the given operation on each field in the vector, returning a new point constructed from the operations.

impl<S: NumCast + Copy> Vector3<S>

pub fn cast<T: NumCast>(&self) -> Option<Vector3<T>>

Component-wise casting to another type.

impl<S: BaseNum> Vector3<S>

pub fn unit_x() -> Vector3<S>

A unit vector in the x direction.

pub fn unit_y() -> Vector3<S>

A unit vector in the y direction.

pub fn unit_z() -> Vector3<S>

A unit vector in the z direction.

pub fn cross(self, other: Vector3<S>) -> Vector3<S>

Returns the cross product of the vector and other.

pub fn extend(self, w: S) -> Vector4<S>

Create a Vector4, using the x, y and z values from this vector, and the provided w.

pub fn truncate(self) -> Vector2<S>

Create a Vector2, dropping the z value.

Trait Implementations

impl<S: Copy> Array for Vector3<S>

type Element = S

fn len() -> usize

Get the number of elements in the array type

fn from_value(scalar: S) -> Vector3<S>

Construct a vector from a single value, replicating it.

fn sum(self) -> S where
    S: Add<Output = S>, 

The sum of the elements of the array.

fn product(self) -> S where
    S: Mul<Output = S>, 

The product of the elements of the array.

fn is_finite(&self) -> bool where
    S: BaseFloat, 

Whether all elements of the array are finite

fn as_ptr(&self) -> *const Self::Element

Get the pointer to the first element of the array.

fn as_mut_ptr(&mut self) -> *mut Self::Element

Get a mutable pointer to the first element of the array.

fn swap_elements(&mut self, i: usize, j: usize)

Swap the elements at indices i and j in-place.

impl<S: BaseNum> ElementWise<Vector3<S>> for Vector3<S>

fn add_element_wise(self, rhs: Vector3<S>) -> Vector3<S>

fn sub_element_wise(self, rhs: Vector3<S>) -> Vector3<S>

fn mul_element_wise(self, rhs: Vector3<S>) -> Vector3<S>

fn div_element_wise(self, rhs: Vector3<S>) -> Vector3<S>

fn rem_element_wise(self, rhs: Vector3<S>) -> Vector3<S>

fn add_assign_element_wise(&mut self, rhs: Vector3<S>)

fn sub_assign_element_wise(&mut self, rhs: Vector3<S>)

fn mul_assign_element_wise(&mut self, rhs: Vector3<S>)

fn div_assign_element_wise(&mut self, rhs: Vector3<S>)

fn rem_assign_element_wise(&mut self, rhs: Vector3<S>)

impl<S: BaseNum> ElementWise<S> for Vector3<S>

fn add_element_wise(self, rhs: S) -> Vector3<S>

fn sub_element_wise(self, rhs: S) -> Vector3<S>

fn mul_element_wise(self, rhs: S) -> Vector3<S>

fn div_element_wise(self, rhs: S) -> Vector3<S>

fn rem_element_wise(self, rhs: S) -> Vector3<S>

fn add_assign_element_wise(&mut self, rhs: S)

fn sub_assign_element_wise(&mut self, rhs: S)

fn mul_assign_element_wise(&mut self, rhs: S)

fn div_assign_element_wise(&mut self, rhs: S)

fn rem_assign_element_wise(&mut self, rhs: S)

impl<S: BaseNum> VectorSpace for Vector3<S>

type Scalar = S

The associated scalar.

fn lerp(self, other: Self, amount: Self::Scalar) -> Self

Returns the result of linearly interpolating the vector towards other by the specified amount.

impl<S: BaseFloat> MetricSpace for Vector3<S>

type Metric = S

The metric to be returned by the distance function.

fn distance2(self, other: Self) -> S

Returns the squared distance.

fn distance(self, other: Self) -> Self::Metric

The distance between two values.

impl<S: BaseFloat> InnerSpace for Vector3<S>

fn dot(self, other: Vector3<S>) -> S

Vector dot (or inner) product.

fn angle(self, other: Vector3<S>) -> Rad<S>

Returns the angle between two vectors in radians.

fn is_perpendicular(self, other: Self) -> bool

Returns true if the vector is perpendicular (at right angles) to the other vector.

fn magnitude2(self) -> Self::Scalar

Returns the squared magnitude.

fn magnitude(self) -> Self::Scalar

The distance from the tail to the tip of the vector.

fn normalize(self) -> Self

Returns a vector with the same direction, but with a magnitude of 1.

fn normalize_to(self, magnitude: Self::Scalar) -> Self

Returns a vector with the same direction and a given magnitude.

fn project_on(self, other: Self) -> Self

Returns the vector projection of the current inner space projected onto the supplied argument.

impl<S> Into<[S; 3]> for Vector3<S>

fn into(self) -> [S; 3]

Performs the conversion.

impl<S> Into<(S, S, S)> for Vector3<S>

fn into(self) -> (S, S, S)

Performs the conversion.

impl<S: Eq> Eq for Vector3<S>

impl<S> AsMut<[S; 3]> for Vector3<S>

fn as_mut(&mut self) -> &mut [S; 3]

Performs the conversion.

impl<S> AsMut<(S, S, S)> for Vector3<S>

fn as_mut(&mut self) -> &mut (S, S, S)

Performs the conversion.

impl<S: Clone> Clone for Vector3<S>

fn clone(&self) -> Vector3<S>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<S> AsRef<[S; 3]> for Vector3<S>

fn as_ref(&self) -> &[S; 3]

Performs the conversion.

impl<S> AsRef<(S, S, S)> for Vector3<S>

fn as_ref(&self) -> &(S, S, S)

Performs the conversion.

impl<S: PartialEq> PartialEq<Vector3<S>> for Vector3<S>

fn eq(&self, other: &Vector3<S>) -> bool

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

fn ne(&self, other: &Vector3<S>) -> bool

This method tests for !=.

impl<S: Clone> From<[S; 3]> for Vector3<S>

fn from(v: [S; 3]) -> Vector3<S>

Performs the conversion.

impl<'a, S> From<&'a [S; 3]> for &'a Vector3<S>

fn from(v: &'a [S; 3]) -> &'a Vector3<S>

Performs the conversion.

impl<'a, S> From<&'a mut [S; 3]> for &'a mut Vector3<S>

fn from(v: &'a mut [S; 3]) -> &'a mut Vector3<S>

Performs the conversion.

impl<S> From<(S, S, S)> for Vector3<S>

fn from(v: (S, S, S)) -> Vector3<S>

Performs the conversion.

impl<'a, S> From<&'a (S, S, S)> for &'a Vector3<S>

fn from(v: &'a (S, S, S)) -> &'a Vector3<S>

Performs the conversion.

impl<'a, S> From<&'a mut (S, S, S)> for &'a mut Vector3<S>

fn from(v: &'a mut (S, S, S)) -> &'a mut Vector3<S>

Performs the conversion.

impl<S: Copy> Copy for Vector3<S>

impl<S: Hash> Hash for Vector3<S>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given [Hasher].

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

Feeds a slice of this type into the given [Hasher].

impl<S: BaseNum> Add<Vector3<S>> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the + operator.

fn add(self, other: Vector3<S>) -> Vector3<S>

Performs the + operation.

impl<'a, S: BaseNum> Add<&'a Vector3<S>> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the + operation.

impl<'a, S: BaseNum> Add<Vector3<S>> for &'a Vector3<S>

type Output = Vector3<S>

The resulting type after applying the + operator.

fn add(self, other: Vector3<S>) -> Vector3<S>

Performs the + operation.

impl<'a, 'b, S: BaseNum> Add<&'a Vector3<S>> for &'b Vector3<S>

type Output = Vector3<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the + operation.

impl<S: BaseNum> Add<Vector3<S>> for Point3<S>

type Output = Point3<S>

The resulting type after applying the + operator.

fn add(self, other: Vector3<S>) -> Point3<S>

Performs the + operation.

impl<'a, S: BaseNum> Add<&'a Vector3<S>> for Point3<S>

type Output = Point3<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector3<S>) -> Point3<S>

Performs the + operation.

impl<'a, S: BaseNum> Add<Vector3<S>> for &'a Point3<S>

type Output = Point3<S>

The resulting type after applying the + operator.

fn add(self, other: Vector3<S>) -> Point3<S>

Performs the + operation.

impl<'a, 'b, S: BaseNum> Add<&'a Vector3<S>> for &'b Point3<S>

type Output = Point3<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector3<S>) -> Point3<S>

Performs the + operation.

impl<S: BaseNum> Sub<Vector3<S>> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector3<S>) -> Vector3<S>

Performs the - operation.

impl<'a, S: BaseNum> Sub<&'a Vector3<S>> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the - operation.

impl<'a, S: BaseNum> Sub<Vector3<S>> for &'a Vector3<S>

type Output = Vector3<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector3<S>) -> Vector3<S>

Performs the - operation.

impl<'a, 'b, S: BaseNum> Sub<&'a Vector3<S>> for &'b Vector3<S>

type Output = Vector3<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the - operation.

impl<S: BaseNum> Sub<Vector3<S>> for Point3<S>

type Output = Point3<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector3<S>) -> Point3<S>

Performs the - operation.

impl<'a, S: BaseNum> Sub<&'a Vector3<S>> for Point3<S>

type Output = Point3<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector3<S>) -> Point3<S>

Performs the - operation.

impl<'a, S: BaseNum> Sub<Vector3<S>> for &'a Point3<S>

type Output = Point3<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector3<S>) -> Point3<S>

Performs the - operation.

impl<'a, 'b, S: BaseNum> Sub<&'a Vector3<S>> for &'b Point3<S>

type Output = Point3<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector3<S>) -> Point3<S>

Performs the - operation.

impl<S: BaseFloat> Mul<Vector3<S>> for Matrix3<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<'a, S: BaseFloat> Mul<&'a Vector3<S>> for Matrix3<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<'a, S: BaseFloat> Mul<Vector3<S>> for &'a Matrix3<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<'a, 'b, S: BaseFloat> Mul<&'a Vector3<S>> for &'b Matrix3<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<S: BaseFloat> Mul<Vector3<S>> for Quaternion<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<'a, S: BaseFloat> Mul<&'a Vector3<S>> for Quaternion<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<'a, S: BaseFloat> Mul<Vector3<S>> for &'a Quaternion<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<'a, 'b, S: BaseFloat> Mul<&'a Vector3<S>> for &'b Quaternion<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<S>) -> Vector3<S>

Performs the * operation.

impl<S: BaseNum> Mul<S> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Vector3<S>

Performs the * operation.

impl<'a, S: BaseNum> Mul<S> for &'a Vector3<S>

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Vector3<S>

Performs the * operation.

impl Mul<Vector3<usize>> for usize

type Output = Vector3<usize>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<usize>) -> Vector3<usize>

Performs the * operation.

impl<'a> Mul<&'a Vector3<usize>> for usize

type Output = Vector3<usize>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<usize>) -> Vector3<usize>

Performs the * operation.

impl Mul<Vector3<u8>> for u8

type Output = Vector3<u8>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<u8>) -> Vector3<u8>

Performs the * operation.

impl<'a> Mul<&'a Vector3<u8>> for u8

type Output = Vector3<u8>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<u8>) -> Vector3<u8>

Performs the * operation.

impl Mul<Vector3<u16>> for u16

type Output = Vector3<u16>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<u16>) -> Vector3<u16>

Performs the * operation.

impl<'a> Mul<&'a Vector3<u16>> for u16

type Output = Vector3<u16>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<u16>) -> Vector3<u16>

Performs the * operation.

impl Mul<Vector3<u32>> for u32

type Output = Vector3<u32>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<u32>) -> Vector3<u32>

Performs the * operation.

impl<'a> Mul<&'a Vector3<u32>> for u32

type Output = Vector3<u32>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<u32>) -> Vector3<u32>

Performs the * operation.

impl Mul<Vector3<u64>> for u64

type Output = Vector3<u64>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<u64>) -> Vector3<u64>

Performs the * operation.

impl<'a> Mul<&'a Vector3<u64>> for u64

type Output = Vector3<u64>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<u64>) -> Vector3<u64>

Performs the * operation.

impl Mul<Vector3<isize>> for isize

type Output = Vector3<isize>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<isize>) -> Vector3<isize>

Performs the * operation.

impl<'a> Mul<&'a Vector3<isize>> for isize

type Output = Vector3<isize>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<isize>) -> Vector3<isize>

Performs the * operation.

impl Mul<Vector3<i8>> for i8

type Output = Vector3<i8>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<i8>) -> Vector3<i8>

Performs the * operation.

impl<'a> Mul<&'a Vector3<i8>> for i8

type Output = Vector3<i8>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<i8>) -> Vector3<i8>

Performs the * operation.

impl Mul<Vector3<i16>> for i16

type Output = Vector3<i16>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<i16>) -> Vector3<i16>

Performs the * operation.

impl<'a> Mul<&'a Vector3<i16>> for i16

type Output = Vector3<i16>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<i16>) -> Vector3<i16>

Performs the * operation.

impl Mul<Vector3<i32>> for i32

type Output = Vector3<i32>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<i32>) -> Vector3<i32>

Performs the * operation.

impl<'a> Mul<&'a Vector3<i32>> for i32

type Output = Vector3<i32>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<i32>) -> Vector3<i32>

Performs the * operation.

impl Mul<Vector3<i64>> for i64

type Output = Vector3<i64>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<i64>) -> Vector3<i64>

Performs the * operation.

impl<'a> Mul<&'a Vector3<i64>> for i64

type Output = Vector3<i64>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<i64>) -> Vector3<i64>

Performs the * operation.

impl Mul<Vector3<f32>> for f32

type Output = Vector3<f32>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<f32>) -> Vector3<f32>

Performs the * operation.

impl<'a> Mul<&'a Vector3<f32>> for f32

type Output = Vector3<f32>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<f32>) -> Vector3<f32>

Performs the * operation.

impl Mul<Vector3<f64>> for f64

type Output = Vector3<f64>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<f64>) -> Vector3<f64>

Performs the * operation.

impl<'a> Mul<&'a Vector3<f64>> for f64

type Output = Vector3<f64>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<f64>) -> Vector3<f64>

Performs the * operation.

impl<S: BaseNum> Div<S> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Vector3<S>

Performs the / operation.

impl<'a, S: BaseNum> Div<S> for &'a Vector3<S>

type Output = Vector3<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Vector3<S>

Performs the / operation.

impl Div<Vector3<usize>> for usize

type Output = Vector3<usize>

The resulting type after applying the / operator.

fn div(self, other: Vector3<usize>) -> Vector3<usize>

Performs the / operation.

impl<'a> Div<&'a Vector3<usize>> for usize

type Output = Vector3<usize>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<usize>) -> Vector3<usize>

Performs the / operation.

impl Div<Vector3<u8>> for u8

type Output = Vector3<u8>

The resulting type after applying the / operator.

fn div(self, other: Vector3<u8>) -> Vector3<u8>

Performs the / operation.

impl<'a> Div<&'a Vector3<u8>> for u8

type Output = Vector3<u8>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<u8>) -> Vector3<u8>

Performs the / operation.

impl Div<Vector3<u16>> for u16

type Output = Vector3<u16>

The resulting type after applying the / operator.

fn div(self, other: Vector3<u16>) -> Vector3<u16>

Performs the / operation.

impl<'a> Div<&'a Vector3<u16>> for u16

type Output = Vector3<u16>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<u16>) -> Vector3<u16>

Performs the / operation.

impl Div<Vector3<u32>> for u32

type Output = Vector3<u32>

The resulting type after applying the / operator.

fn div(self, other: Vector3<u32>) -> Vector3<u32>

Performs the / operation.

impl<'a> Div<&'a Vector3<u32>> for u32

type Output = Vector3<u32>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<u32>) -> Vector3<u32>

Performs the / operation.

impl Div<Vector3<u64>> for u64

type Output = Vector3<u64>

The resulting type after applying the / operator.

fn div(self, other: Vector3<u64>) -> Vector3<u64>

Performs the / operation.

impl<'a> Div<&'a Vector3<u64>> for u64

type Output = Vector3<u64>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<u64>) -> Vector3<u64>

Performs the / operation.

impl Div<Vector3<isize>> for isize

type Output = Vector3<isize>

The resulting type after applying the / operator.

fn div(self, other: Vector3<isize>) -> Vector3<isize>

Performs the / operation.

impl<'a> Div<&'a Vector3<isize>> for isize

type Output = Vector3<isize>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<isize>) -> Vector3<isize>

Performs the / operation.

impl Div<Vector3<i8>> for i8

type Output = Vector3<i8>

The resulting type after applying the / operator.

fn div(self, other: Vector3<i8>) -> Vector3<i8>

Performs the / operation.

impl<'a> Div<&'a Vector3<i8>> for i8

type Output = Vector3<i8>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<i8>) -> Vector3<i8>

Performs the / operation.

impl Div<Vector3<i16>> for i16

type Output = Vector3<i16>

The resulting type after applying the / operator.

fn div(self, other: Vector3<i16>) -> Vector3<i16>

Performs the / operation.

impl<'a> Div<&'a Vector3<i16>> for i16

type Output = Vector3<i16>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<i16>) -> Vector3<i16>

Performs the / operation.

impl Div<Vector3<i32>> for i32

type Output = Vector3<i32>

The resulting type after applying the / operator.

fn div(self, other: Vector3<i32>) -> Vector3<i32>

Performs the / operation.

impl<'a> Div<&'a Vector3<i32>> for i32

type Output = Vector3<i32>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<i32>) -> Vector3<i32>

Performs the / operation.

impl Div<Vector3<i64>> for i64

type Output = Vector3<i64>

The resulting type after applying the / operator.

fn div(self, other: Vector3<i64>) -> Vector3<i64>

Performs the / operation.

impl<'a> Div<&'a Vector3<i64>> for i64

type Output = Vector3<i64>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<i64>) -> Vector3<i64>

Performs the / operation.

impl Div<Vector3<f32>> for f32

type Output = Vector3<f32>

The resulting type after applying the / operator.

fn div(self, other: Vector3<f32>) -> Vector3<f32>

Performs the / operation.

impl<'a> Div<&'a Vector3<f32>> for f32

type Output = Vector3<f32>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<f32>) -> Vector3<f32>

Performs the / operation.

impl Div<Vector3<f64>> for f64

type Output = Vector3<f64>

The resulting type after applying the / operator.

fn div(self, other: Vector3<f64>) -> Vector3<f64>

Performs the / operation.

impl<'a> Div<&'a Vector3<f64>> for f64

type Output = Vector3<f64>

The resulting type after applying the / operator.

fn div(self, other: &'a Vector3<f64>) -> Vector3<f64>

Performs the / operation.

impl<S: BaseNum> Rem<S> for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the % operator.

fn rem(self, other: S) -> Vector3<S>

Performs the % operation.

impl<'a, S: BaseNum> Rem<S> for &'a Vector3<S>

type Output = Vector3<S>

The resulting type after applying the % operator.

fn rem(self, other: S) -> Vector3<S>

Performs the % operation.

impl Rem<Vector3<usize>> for usize

type Output = Vector3<usize>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<usize>) -> Vector3<usize>

Performs the % operation.

impl<'a> Rem<&'a Vector3<usize>> for usize

type Output = Vector3<usize>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<usize>) -> Vector3<usize>

Performs the % operation.

impl Rem<Vector3<u8>> for u8

type Output = Vector3<u8>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<u8>) -> Vector3<u8>

Performs the % operation.

impl<'a> Rem<&'a Vector3<u8>> for u8

type Output = Vector3<u8>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<u8>) -> Vector3<u8>

Performs the % operation.

impl Rem<Vector3<u16>> for u16

type Output = Vector3<u16>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<u16>) -> Vector3<u16>

Performs the % operation.

impl<'a> Rem<&'a Vector3<u16>> for u16

type Output = Vector3<u16>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<u16>) -> Vector3<u16>

Performs the % operation.

impl Rem<Vector3<u32>> for u32

type Output = Vector3<u32>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<u32>) -> Vector3<u32>

Performs the % operation.

impl<'a> Rem<&'a Vector3<u32>> for u32

type Output = Vector3<u32>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<u32>) -> Vector3<u32>

Performs the % operation.

impl Rem<Vector3<u64>> for u64

type Output = Vector3<u64>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<u64>) -> Vector3<u64>

Performs the % operation.

impl<'a> Rem<&'a Vector3<u64>> for u64

type Output = Vector3<u64>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<u64>) -> Vector3<u64>

Performs the % operation.

impl Rem<Vector3<isize>> for isize

type Output = Vector3<isize>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<isize>) -> Vector3<isize>

Performs the % operation.

impl<'a> Rem<&'a Vector3<isize>> for isize

type Output = Vector3<isize>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<isize>) -> Vector3<isize>

Performs the % operation.

impl Rem<Vector3<i8>> for i8

type Output = Vector3<i8>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<i8>) -> Vector3<i8>

Performs the % operation.

impl<'a> Rem<&'a Vector3<i8>> for i8

type Output = Vector3<i8>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<i8>) -> Vector3<i8>

Performs the % operation.

impl Rem<Vector3<i16>> for i16

type Output = Vector3<i16>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<i16>) -> Vector3<i16>

Performs the % operation.

impl<'a> Rem<&'a Vector3<i16>> for i16

type Output = Vector3<i16>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<i16>) -> Vector3<i16>

Performs the % operation.

impl Rem<Vector3<i32>> for i32

type Output = Vector3<i32>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<i32>) -> Vector3<i32>

Performs the % operation.

impl<'a> Rem<&'a Vector3<i32>> for i32

type Output = Vector3<i32>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<i32>) -> Vector3<i32>

Performs the % operation.

impl Rem<Vector3<i64>> for i64

type Output = Vector3<i64>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<i64>) -> Vector3<i64>

Performs the % operation.

impl<'a> Rem<&'a Vector3<i64>> for i64

type Output = Vector3<i64>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<i64>) -> Vector3<i64>

Performs the % operation.

impl Rem<Vector3<f32>> for f32

type Output = Vector3<f32>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<f32>) -> Vector3<f32>

Performs the % operation.

impl<'a> Rem<&'a Vector3<f32>> for f32

type Output = Vector3<f32>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<f32>) -> Vector3<f32>

Performs the % operation.

impl Rem<Vector3<f64>> for f64

type Output = Vector3<f64>

The resulting type after applying the % operator.

fn rem(self, other: Vector3<f64>) -> Vector3<f64>

Performs the % operation.

impl<'a> Rem<&'a Vector3<f64>> for f64

type Output = Vector3<f64>

The resulting type after applying the % operator.

fn rem(self, other: &'a Vector3<f64>) -> Vector3<f64>

Performs the % operation.

impl<S: Neg<Output = S>> Neg for Vector3<S>

type Output = Vector3<S>

The resulting type after applying the - operator.

fn neg(self) -> Vector3<S>

Performs the unary - operation.

impl<S: BaseNum + AddAssign<S>> AddAssign<Vector3<S>> for Vector3<S>

fn add_assign(&mut self, other: Vector3<S>)

Performs the += operation.

impl<S: BaseNum + AddAssign<S>> AddAssign<Vector3<S>> for Point3<S>

fn add_assign(&mut self, vector: Vector3<S>)

Performs the += operation.

impl<S: BaseNum + SubAssign<S>> SubAssign<Vector3<S>> for Vector3<S>

fn sub_assign(&mut self, other: Vector3<S>)

Performs the -= operation.

impl<S: BaseNum + SubAssign<S>> SubAssign<Vector3<S>> for Point3<S>

fn sub_assign(&mut self, vector: Vector3<S>)

Performs the -= operation.

impl<S: BaseNum + MulAssign<S>> MulAssign<S> for Vector3<S>

fn mul_assign(&mut self, scalar: S)

Performs the *= operation.

impl<S: BaseNum + DivAssign<S>> DivAssign<S> for Vector3<S>

fn div_assign(&mut self, scalar: S)

Performs the /= operation.

impl<S: BaseNum + RemAssign<S>> RemAssign<S> for Vector3<S>

fn rem_assign(&mut self, scalar: S)

Performs the %= operation.

impl<S> Index<usize> for Vector3<S>

type Output = S

The returned type after indexing.

fn index<'a>(&'a self, i: usize) -> &'a S

Performs the indexing (container[index]) operation.

impl<S> Index<Range<usize>> for Vector3<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: Range<usize>) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<RangeTo<usize>> for Vector3<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: RangeTo<usize>) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<RangeFrom<usize>> for Vector3<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: RangeFrom<usize>) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<RangeFull> for Vector3<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: RangeFull) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> IndexMut<usize> for Vector3<S>

fn index_mut<'a>(&'a mut self, i: usize) -> &'a mut S

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<Range<usize>> for Vector3<S>

fn index_mut<'a>(&'a mut self, i: Range<usize>) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<RangeTo<usize>> for Vector3<S>

fn index_mut<'a>(&'a mut self, i: RangeTo<usize>) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<RangeFrom<usize>> for Vector3<S>

fn index_mut<'a>(&'a mut self, i: RangeFrom<usize>) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<RangeFull> for Vector3<S>

fn index_mut<'a>(&'a mut self, i: RangeFull) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S: Debug> Debug for Vector3<S>

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

Formats the value using the given formatter.

impl<S: BaseNum> Sum<Vector3<S>> for Vector3<S>

fn sum<I: Iterator<Item = Vector3<S>>>(iter: I) -> Vector3<S>

Method which takes an iterator and generates Self from the elements by "summing up" the items.

impl<'a, S: 'a + BaseNum> Sum<&'a Vector3<S>> for Vector3<S>

fn sum<I: Iterator<Item = &'a Vector3<S>>>(iter: I) -> Vector3<S>

Method which takes an iterator and generates Self from the elements by "summing up" the items.

impl<S: BaseFloat> AbsDiffEq<Vector3<S>> for Vector3<S>

type Epsilon = S::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> S::Epsilon

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

fn abs_diff_eq(&self, other: &Self, epsilon: S::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 ApproxEq::abs_diff_eq.

impl<S: BaseFloat> RelativeEq<Vector3<S>> for Vector3<S>

fn default_max_relative() -> S::Epsilon

The default relative tolerance for testing values that are far-apart.

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

A test for equality that uses a relative comparison if the values are far apart.

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

The inverse of ApproxEq::relative_eq.

impl<S: BaseFloat> UlpsEq<Vector3<S>> for Vector3<S>

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of ApproxEq::ulps_eq.

impl<S: Bounded> Bounded for Vector3<S>

fn min_value() -> Vector3<S>

returns the smallest finite number this type can represent

fn max_value() -> Vector3<S>

returns the largest finite number this type can represent

impl<S: BaseNum> Zero for Vector3<S>

fn zero() -> Vector3<S>

Returns the additive identity element of Self, 0. # Purity

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<S> Distribution<Vector3<S>> for Standard where
    Standard: Distribution<S>,
    S: BaseFloat, 

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Vector3<S>

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(&'a self, rng: &'a mut R) -> DistIter<'a, Self, R, T> where
    R: Rng, 

Create an iterator that generates random values of T, using rng as the source of randomness.