Struct nannou::geom::vector::Vector3

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

A 3-dimensional vector.

Fields

x: S

y: S

z: S

Methods

impl<S> Vector3<S>

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

Construct a new vector, using the provided values.

pub fn from_value(scalar: S) -> Vector3<S> where     S: Clone,

Construct a vector using the given value for each field.

pub fn len(&self) -> usize

The length of the vector.

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 vector constructed from the operations.

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

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

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

Test whether or not the vector is infinite.

pub fn cast<T>(&self) -> Option<Vector3<T>> where     S: NumCast + Clone,     T: NumCast,

Component-wise casting to another type.

pub fn zero() -> Vector3<S> where     S: Zero,

A zeroed vector.

pub fn is_zero(&self) -> bool where     S: PartialEq + Zero,

Whether or not the vector is zeroed.

pub fn one() -> Vector3<S> where     S: One,

A vector with 1 for each element.

pub fn is_one(&self) -> bool where     S: PartialEq + One,

Whether or not each element in the vector is equal to 1.

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

Tests whether or not any of the vector's elements is NaN.

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

Sum the fields of the vector.

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

The product of the fields of the vector.

pub fn limit_magnitude(self, limit: S) -> Self where     S: BaseFloat,

Return a vector whose magnitude is limited to the given value.

pub fn with_magnitude(self, magnitude: S) -> Self where     S: BaseFloat,

Return a vector with the given magnitude.

pub fn normalize(self) -> Self where     S: BaseFloat,

Return a normalized vector.

If self is_zero, this returns self.

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

The dot product of self and the given vector.

impl<S> Vector3<S>

pub fn unit_x() -> Vector3<S> where     S: Zero + One,

A unit vector in the x direction.

pub fn unit_y() -> Vector3<S> where     S: Zero + One,

A unit vector in the y direction.

pub fn unit_z() -> Vector3<S> where     S: Zero + One,

A unit vector in the z direction.

pub fn cross(self, other: Vector3<S>) -> Vector3<S> where     S: Copy + Sub<Output = S> + Mul<Output = 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> From<Vector3<S>> for Vector3<S>

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

Performs the conversion.

impl<S> Into<Vector3<S>> for Vector3<S>

fn into(self) -> Vector3<S>

Performs the conversion.

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

type Scalar = S

The associated scalar.

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

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> ApproxEq for Vector3<S> where     S: ApproxEq,     S::Epsilon: Copy,

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 default_max_relative() -> S::Epsilon

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

fn default_max_ulps() -> u32

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

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

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

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

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

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

The inverse of ApproxEq::relative_eq.

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

The inverse of ApproxEq::ulps_eq.

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

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> ElementWise for Vector3<S> where     S: BaseFloat,

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> Array for Vector3<S> where     S: Copy,

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 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> EuclideanSpace for Vector3<S> where     S: BaseNum,

type Scalar = S

The associated scalar over which the space is defined.

type Diff = Vector3<S>

The associated space of displacement vectors.

fn origin() -> Self

The point at the origin of the Euclidean space.

fn from_vec(v: Vector3<S>) -> Self

Convert a displacement vector to a point.

fn to_vec(self) -> Vector3<S>

Convert a point to a displacement vector.

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

This is a weird one, but its useful for plane calculations.

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

Returns the middle point between two other points.

fn centroid(points: &[Self]) -> Self

Returns the average position of all points in the slice.

impl<S> From<Point3<S>> for Vector3<S>

fn from(v: Point3<S>) -> Self

Performs the conversion.

impl<S> Into<Point3<S>> for Vector3<S>

fn into(self) -> Point3<S>

Performs the conversion.

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

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

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

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

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

impl<S: Default> Default for Vector3<S>

fn default() -> Vector3<S>

Returns the "default value" for a type.

impl<S: Debug> Debug for Vector3<S>

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

Formats the value using the given formatter.

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

impl<S: Copy> Copy for Vector3<S>

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: Hash> Hash for Vector3<S>

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

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> Sum<Vector3<S>> for Vector3<S> where     S: Zero + Add<Output = S>,

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

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

impl<'a, S: 'a> Sum<&'a Vector3<S>> for Vector3<S> where     S: 'a + Clone + Zero + Add<Output = S>,

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

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

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

type Output = Vector3<S>

The resulting type after applying the - operator.

fn neg(self) -> Vector3<S>

Performs the unary - operation.

impl<S> Add for Vector3<S> where     S: Add<Output = S>,

type Output = Vector3<S>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<S> Sub for Vector3<S> where     S: Sub<Output = S>,

type Output = Vector3<S>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<S> Mul for Vector3<S> where     S: Mul<Output = S>,

type Output = Vector3<S>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<S> Div for Vector3<S> where     S: Div<Output = S>,

type Output = Vector3<S>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<S> Rem for Vector3<S> where     S: Rem<Output = S>,

type Output = Vector3<S>

The resulting type after applying the % operator.

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

Performs the % operation.

impl<S> AddAssign for Vector3<S> where     S: AddAssign,

fn add_assign(&mut self, other: Self)

Performs the += operation.

impl<S> SubAssign for Vector3<S> where     S: SubAssign,

fn sub_assign(&mut self, other: Self)

Performs the -= operation.

impl<S> DivAssign for Vector3<S> where     S: Copy + DivAssign,

fn div_assign(&mut self, other: Self)

Performs the /= operation.

impl<S> MulAssign for Vector3<S> where     S: Copy + MulAssign,

fn mul_assign(&mut self, other: Self)

Performs the *= operation.

impl<S> RemAssign for Vector3<S> where     S: Copy + RemAssign,

fn rem_assign(&mut self, other: Self)

Performs the %= operation.

impl<S> Rem<S> for Vector3<S> where     S: Copy + Rem<Output = S>,

type Output = Vector3<S>

The resulting type after applying the % operator.

fn rem(self, scalar: S) -> Self

Performs the % operation.

impl<S> Div<S> for Vector3<S> where     S: Copy + Div<Output = S>,

type Output = Vector3<S>

The resulting type after applying the / operator.

fn div(self, scalar: S) -> Self

Performs the / operation.

impl<S> Mul<S> for Vector3<S> where     S: Copy + Mul<Output = S>,

type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, scalar: S) -> Self

Performs the * operation.

impl<S> RemAssign<S> for Vector3<S> where     S: Copy + RemAssign,

fn rem_assign(&mut self, scalar: S)

Performs the %= operation.

impl<S> DivAssign<S> for Vector3<S> where     S: Copy + DivAssign,

fn div_assign(&mut self, scalar: S)

Performs the /= operation.

impl<S> MulAssign<S> for Vector3<S> where     S: Copy + MulAssign,

fn mul_assign(&mut self, scalar: S)

Performs the *= operation.

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

type Output = S

The returned type after indexing.

Important traits for &'a mut R

impl<'a, R> Read for &'a mut R where
    R: Read + ?Sized, impl<'a, W> Write for &'a mut W where
    W: Write + ?Sized, impl<'a, I> Iterator for &'a mut I where
    I: Iterator + ?Sized,  type Item = <I as Iterator>::Item;

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

Performs the indexing (container[index]) operation.

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

Important traits for &'a mut R

impl<'a, R> Read for &'a mut R where
    R: Read + ?Sized, impl<'a, W> Write for &'a mut W where
    W: Write + ?Sized, impl<'a, I> Iterator for &'a mut I where
    I: Iterator + ?Sized,  type Item = <I as Iterator>::Item;

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

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

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

type Output = [S]

The returned type after indexing.

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

Performs the indexing (container[index]) operation.

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

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

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

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

type Output = [S]

The returned type after indexing.

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

Performs the indexing (container[index]) operation.

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

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

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

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

type Output = [S]

The returned type after indexing.

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

Performs the indexing (container[index]) operation.

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

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

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

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

type Output = [S]

The returned type after indexing.

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

Performs the indexing (container[index]) operation.

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

Important traits for &'a [u8]

impl<'a> Read for &'a [u8]impl<'a> Write for &'a mut [u8]

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

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

impl<S> From<[S; 3]> for Vector3<S> where     S: Copy,

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

Performs the conversion.

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

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

Performs the conversion.

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

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

Performs the conversion.

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

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

Performs the conversion.

impl<S> Deref for Vector3<S>

type Target = [S; 3]

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<S> DerefMut for Vector3<S>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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

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> Zero for Vector3<S> where     S: PartialEq + Zero,

fn zero() -> Vector3<S>

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

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

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

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

Important traits for DistIter<'a, D, R, T>

impl<'a, D, R, T> Iterator for DistIter<'a, D, R, T> where
    D: Distribution<T>,
    R: Rng + 'a,  type Item = T;

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.

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

fn from((x, y, z): (S, S, S)) -> Self

Performs the conversion.

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

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

Performs the conversion.

impl<S> From<(S, S)> for Vector3<S> where     S: Zero,

fn from((x, y): (S, S)) -> Self

Performs the conversion.

impl<S> From<[S; 2]> for Vector3<S> where     S: Zero,

fn from([x, y]: [S; 2]) -> Self

Performs the conversion.

impl<S> From<Vector2<S>> for Vector3<S> where     S: Zero,

fn from(Vector2 { x: x, y: y }: Vector2<S>) -> Self

Performs the conversion.

impl<S> From<Vector3<S>> for Vector4<S> where     S: Zero,

fn from(Vector3 { x: x, y: y, z: z }: Vector3<S>) -> Self

Performs the conversion.