Struct cgmath::Point3

pub struct Point3<S> {
    pub x: S,
    pub y: S,
    pub z: S,
}

A point in 3-dimensional space.

Fields

x: S

y: S

z: S

Implementations

impl<S: BaseNum> Point3<S>

pub fn new(x: S, y: S, z: S) -> Point3<S>

impl<S: BaseNum> Point3<S>

pub fn from_homogeneous(v: Vector4<S>) -> Point3<S>

pub fn to_homogeneous(self) -> Vector4<S>

Trait Implementations

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<'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<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<S: BaseFloat> ApproxEq for Point3<S>

type Epsilon = S

fn approx_eq_eps(&self, other: &Point3<S>, epsilon: &S) -> bool

fn approx_epsilon() -> Self::Epsilon

fn approx_eq(&self, other: &Self) -> bool

impl<S: BaseNum> Array for Point3<S>

type Element = S

fn sum(self) -> S

The sum of the elements of the array.

fn product(self) -> S

The product of the elements of the array.

fn min(self) -> S

The minimum element of the array.

fn max(self) -> S

The maximum element 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> AsMut<[S; 3]> for Point3<S>

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

Converts this type into a mutable reference of the (usually inferred) input type.

impl<S> AsMut<(S, S, S)> for Point3<S>

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

Converts this type into a mutable reference of the (usually inferred) input type.

impl<S> AsRef<[S; 3]> for Point3<S>

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

Converts this type into a shared reference of the (usually inferred) input type.

impl<S> AsRef<(S, S, S)> for Point3<S>

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

Converts this type into a shared reference of the (usually inferred) input type.

impl<S: Clone> Clone for Point3<S>

fn clone(&self) -> Point3<S>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<S: BaseNum> Debug for Point3<S>

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

Formats the value using the given formatter.

impl<S: Decodable> Decodable for Point3<S>

fn decode<__D: Decoder>(d: &mut __D) -> Result<Point3<S>, __D::Error>

Deserialize a value using a Decoder.

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

type Output = Point3<S>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<S: BaseNum> Div<S> for Point3<S>

type Output = Point3<S>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<S: Encodable> Encodable for Point3<S>

fn encode<__S: Encoder>(&self, s: &mut __S) -> Result<(), __S::Error>

Serialize a value using an Encoder.

impl<'a, S> From<&'a [S; 3]> for &'a Point3<S>

fn from(v: &'a [S; 3]) -> &'a Point3<S>

Converts to this type from the input type.

impl<'a, S> From<&'a (S, S, S)> for &'a Point3<S>

fn from(v: &'a (S, S, S)) -> &'a Point3<S>

Converts to this type from the input type.

impl<'a, S> From<&'a mut [S; 3]> for &'a mut Point3<S>

fn from(v: &'a mut [S; 3]) -> &'a mut Point3<S>

Converts to this type from the input type.

impl<'a, S> From<&'a mut (S, S, S)> for &'a mut Point3<S>

fn from(v: &'a mut (S, S, S)) -> &'a mut Point3<S>

Converts to this type from the input type.

impl<S: Clone> From<[S; 3]> for Point3<S>

fn from(v: [S; 3]) -> Point3<S>

Converts to this type from the input type.

impl<S> From<(S, S, S)> for Point3<S>

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

Converts to this type from the input type.

impl<S: Hash> Hash for Point3<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, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<S> Index<Range<usize>> for Point3<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<RangeFrom<usize>> for Point3<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 Point3<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> Index<RangeTo<usize>> for Point3<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<usize> for Point3<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> IndexMut<Range<usize>> for Point3<S>

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

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

impl<S> IndexMut<RangeFrom<usize>> for Point3<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 Point3<S>

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

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

impl<S> IndexMut<RangeTo<usize>> for Point3<S>

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

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

impl<S> IndexMut<usize> for Point3<S>

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

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

impl<S> Into<[S; 3]> for Point3<S>

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

Converts this type into the (usually inferred) input type.

impl<S> Into<(S, S, S)> for Point3<S>

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

Converts this type into the (usually inferred) input type.

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

type Output = Point3<S>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<S: BaseNum> Mul<S> for Point3<S>

type Output = Point3<S>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<S: PartialEq> PartialEq<Point3<S>> for Point3<S>

fn eq(&self, other: &Point3<S>) -> 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<S: BaseNum> Point for Point3<S>

type Scalar = S

The associated scalar.

type Vector = Vector3<S>

The associated displacement vector.

fn origin() -> Point3<S>

Create a point at the origin.

fn from_vec(v: Vector3<S>) -> Point3<S>

Create a point from a vector.

fn to_vec(self) -> Vector3<S>

Convert a point to a vector.

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

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

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

type Output = Point3<S>

The resulting type after applying the % operator.

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

Performs the % operation.

impl<S: BaseNum> Rem<S> for Point3<S>

type Output = Point3<S>

The resulting type after applying the % operator.

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

Performs the % operation.

impl<S: BaseFloat> Rotation<Point3<S>> for Basis3<S>

fn one() -> Basis3<S>

Create the identity transform (causes no transformation).

fn look_at(dir: Vector3<S>, up: Vector3<S>) -> Basis3<S>

Create a rotation to a given direction with an ‘up’ vector

fn between_vectors(a: Vector3<S>, b: Vector3<S>) -> Basis3<S>

Create a shortest rotation to transform vector ‘a’ into ‘b’. Both given vectors are assumed to have unit length.

fn rotate_vector(&self, vec: Vector3<S>) -> Vector3<S>

Rotate a vector using this rotation.

fn concat(&self, other: &Basis3<S>) -> Basis3<S>

Create a new rotation which combines both this rotation, and another.

fn concat_self(&mut self, other: &Basis3<S>)

Modify this rotation in-place by combining it with another.

fn invert(&self) -> Basis3<S>

Create a new rotation which “un-does” this rotation. That is, r.concat(r.invert()) is the identity.

fn invert_self(&mut self)

Invert this rotation in-place.

fn rotate_point(&self, point: P) -> P

Rotate a point using this rotation, by converting it to its representation as a vector.

impl<S: BaseFloat> Rotation<Point3<S>> for Quaternion<S>

fn one() -> Quaternion<S>

Create the identity transform (causes no transformation).

fn look_at(dir: Vector3<S>, up: Vector3<S>) -> Quaternion<S>

Create a rotation to a given direction with an ‘up’ vector

fn between_vectors(a: Vector3<S>, b: Vector3<S>) -> Quaternion<S>

Create a shortest rotation to transform vector ‘a’ into ‘b’. Both given vectors are assumed to have unit length.

fn rotate_vector(&self, vec: Vector3<S>) -> Vector3<S>

Rotate a vector using this rotation.

fn concat(&self, other: &Quaternion<S>) -> Quaternion<S>

Create a new rotation which combines both this rotation, and another.

fn concat_self(&mut self, other: &Quaternion<S>)

Modify this rotation in-place by combining it with another.

fn invert(&self) -> Quaternion<S>

Create a new rotation which “un-does” this rotation. That is, r.concat(r.invert()) is the identity.

fn invert_self(&mut self)

Invert this rotation in-place.

fn rotate_point(&self, point: P) -> P

Rotate a point using this rotation, by converting it to its representation as a vector.

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

type Output = Vector3<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Vector3<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Vector3<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Vector3<S>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<S: BaseFloat> Transform<Point3<S>> for AffineMatrix3<S>

fn one() -> AffineMatrix3<S>

Create an identity transformation. That is, a transformation which does nothing.

fn look_at( eye: Point3<S>, center: Point3<S>, up: Vector3<S> ) -> AffineMatrix3<S>

Create a transformation that rotates a vector to look at center from eye, using up for orientation.

fn transform_vector(&self, vec: Vector3<S>) -> Vector3<S>

Transform a vector using this transform.

fn transform_point(&self, point: Point3<S>) -> Point3<S>

Transform a point using this transform.

fn concat(&self, other: &AffineMatrix3<S>) -> AffineMatrix3<S>

Combine this transform with another, yielding a new transformation which has the effects of both.

fn invert(&self) -> Option<AffineMatrix3<S>>

Create a transform that “un-does” this one.

fn transform_as_point(&self, vec: P::Vector) -> P::Vector

Transform a vector as a point using this transform.

fn concat_self(&mut self, other: &Self)

Combine this transform with another, in-place.

fn invert_self(&mut self)

Invert this transform in-place, failing if the transformation is not invertible.

impl<S: Copy> Copy for Point3<S>

impl<S: Eq> Eq for Point3<S>

impl<S> StructuralEq for Point3<S>

impl<S> StructuralPartialEq for Point3<S>