Struct zng_layout::unit::euclid::Point3D

#[repr(C)]
pub struct Point3D<T, U> { pub x: T, pub y: T, pub z: T, /* private fields */ }
Expand description

A 3d Point tagged with a unit.

Fields§

§x: T§y: T§z: T

Implementations§

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impl<T, U> Point3D<T, U>

pub fn origin() -> Point3D<T, U>
where T: Zero,

Constructor, setting all components to zero.

pub fn zero() -> Point3D<T, U>
where T: Zero,

The same as Point3D::origin.

pub const fn new(x: T, y: T, z: T) -> Point3D<T, U>

Constructor taking scalar values directly.

pub fn from_lengths( x: Length<T, U>, y: Length<T, U>, z: Length<T, U>, ) -> Point3D<T, U>

Constructor taking properly Lengths instead of scalar values.

pub fn splat(v: T) -> Point3D<T, U>
where T: Clone,

Constructor setting all components to the same value.

pub fn from_untyped(p: Point3D<T, UnknownUnit>) -> Point3D<T, U>

Tag a unitless value with units.

pub fn map<V, F>(self, f: F) -> Point3D<V, U>
where F: FnMut(T) -> V,

Apply the function f to each component of this point.

§Example

This may be used to perform unusual arithmetic which is not already offered as methods.

use euclid::default::Point3D;

let p = Point3D::<u32>::new(5, 11, 15);
assert_eq!(p.map(|coord| coord.saturating_sub(10)), Point3D::new(0, 1, 5));

pub fn zip<V, F>(self, rhs: Point3D<T, U>, f: F) -> Vector3D<V, U>
where F: FnMut(T, T) -> V,

Apply the function f to each pair of components of this point and rhs.

§Example

This may be used to perform unusual arithmetic which is not already offered as methods.

use euclid::{default::{Point3D, Vector3D}, point2};

let a: Point3D<u32> = Point3D::new(50, 200, 400);
let b: Point3D<u32> = Point3D::new(100, 100, 150);
assert_eq!(a.zip(b, u32::saturating_sub), Vector3D::new(0, 100, 250));
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impl<T, U> Point3D<T, U>
where T: Copy,

pub fn to_vector(self) -> Vector3D<T, U>

Cast this point into a vector.

Equivalent to subtracting the origin to this point.

pub fn xy(self) -> Point2D<T, U>

Returns a 2d point using this point’s x and y coordinates

pub fn xz(self) -> Point2D<T, U>

Returns a 2d point using this point’s x and z coordinates

pub fn yz(self) -> Point2D<T, U>

Returns a 2d point using this point’s x and z coordinates

pub fn to_array(self) -> [T; 3]

Cast into an array with x, y and z.

§Example
enum Mm {}

let point: Point3D<_, Mm> = point3(1, -8, 0);

assert_eq!(point.to_array(), [1, -8, 0]);

pub fn to_array_4d(self) -> [T; 4]
where T: One,

pub fn to_tuple(self) -> (T, T, T)

Cast into a tuple with x, y and z.

§Example
enum Mm {}

let point: Point3D<_, Mm> = point3(1, -8, 0);

assert_eq!(point.to_tuple(), (1, -8, 0));

pub fn to_tuple_4d(self) -> (T, T, T, T)
where T: One,

pub fn to_untyped(self) -> Point3D<T, UnknownUnit>

Drop the units, preserving only the numeric value.

§Example
enum Mm {}

let point: Point3D<_, Mm> = point3(1, -8, 0);

assert_eq!(point.x, point.to_untyped().x);
assert_eq!(point.y, point.to_untyped().y);
assert_eq!(point.z, point.to_untyped().z);

pub fn cast_unit<V>(self) -> Point3D<T, V>

Cast the unit, preserving the numeric value.

§Example
enum Mm {}
enum Cm {}

let point: Point3D<_, Mm> = point3(1, -8, 0);

assert_eq!(point.x, point.cast_unit::<Cm>().x);
assert_eq!(point.y, point.cast_unit::<Cm>().y);
assert_eq!(point.z, point.cast_unit::<Cm>().z);

pub fn to_2d(self) -> Point2D<T, U>

Convert into a 2d point.

pub fn round(self) -> Point3D<T, U>
where T: Round,

Rounds each component to the nearest integer value.

This behavior is preserved for negative values (unlike the basic cast).

enum Mm {}

assert_eq!(point3::<_, Mm>(-0.1, -0.8, 0.4).round(), point3::<_, Mm>(0.0, -1.0, 0.0))

pub fn ceil(self) -> Point3D<T, U>
where T: Ceil,

Rounds each component to the smallest integer equal or greater than the original value.

This behavior is preserved for negative values (unlike the basic cast).

enum Mm {}

assert_eq!(point3::<_, Mm>(-0.1, -0.8, 0.4).ceil(), point3::<_, Mm>(0.0, 0.0, 1.0))

pub fn floor(self) -> Point3D<T, U>
where T: Floor,

Rounds each component to the biggest integer equal or lower than the original value.

This behavior is preserved for negative values (unlike the basic cast).

enum Mm {}

assert_eq!(point3::<_, Mm>(-0.1, -0.8, 0.4).floor(), point3::<_, Mm>(-1.0, -1.0, 0.0))

pub fn lerp(self, other: Point3D<T, U>, t: T) -> Point3D<T, U>
where T: One + Sub<Output = T> + Mul<Output = T> + Add<Output = T>,

Linearly interpolate between this point and another point.

§Example
use euclid::point3;
use euclid::default::Point3D;

let from: Point3D<_> = point3(0.0, 10.0, -1.0);
let to:  Point3D<_> = point3(8.0, -4.0,  0.0);

assert_eq!(from.lerp(to, -1.0), point3(-8.0,  24.0, -2.0));
assert_eq!(from.lerp(to,  0.0), point3( 0.0,  10.0, -1.0));
assert_eq!(from.lerp(to,  0.5), point3( 4.0,   3.0, -0.5));
assert_eq!(from.lerp(to,  1.0), point3( 8.0,  -4.0,  0.0));
assert_eq!(from.lerp(to,  2.0), point3(16.0, -18.0,  1.0));
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impl<T, U> Point3D<T, U>
where T: PartialOrd,

pub fn min(self, other: Point3D<T, U>) -> Point3D<T, U>

pub fn max(self, other: Point3D<T, U>) -> Point3D<T, U>

pub fn clamp(self, start: Point3D<T, U>, end: Point3D<T, U>) -> Point3D<T, U>
where T: Copy,

Returns the point each component of which clamped by corresponding components of start and end.

Shortcut for self.max(start).min(end).

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impl<T, U> Point3D<T, U>
where T: NumCast + Copy,

pub fn cast<NewT>(self) -> Point3D<NewT, U>
where NewT: NumCast,

Cast from one numeric representation to another, preserving the units.

When casting from floating point to integer coordinates, the decimals are truncated as one would expect from a simple cast, but this behavior does not always make sense geometrically. Consider using round(), ceil() or floor() before casting.

pub fn try_cast<NewT>(self) -> Option<Point3D<NewT, U>>
where NewT: NumCast,

Fallible cast from one numeric representation to another, preserving the units.

When casting from floating point to integer coordinates, the decimals are truncated as one would expect from a simple cast, but this behavior does not always make sense geometrically. Consider using round(), ceil() or floor() before casting.

pub fn to_f32(self) -> Point3D<f32, U>

Cast into an f32 point.

pub fn to_f64(self) -> Point3D<f64, U>

Cast into an f64 point.

pub fn to_usize(self) -> Point3D<usize, U>

Cast into an usize point, truncating decimals if any.

When casting from floating point points, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

pub fn to_u32(self) -> Point3D<u32, U>

Cast into an u32 point, truncating decimals if any.

When casting from floating point points, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

pub fn to_i32(self) -> Point3D<i32, U>

Cast into an i32 point, truncating decimals if any.

When casting from floating point points, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

pub fn to_i64(self) -> Point3D<i64, U>

Cast into an i64 point, truncating decimals if any.

When casting from floating point points, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

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impl<T, U> Point3D<T, U>
where T: Float,

pub fn is_finite(self) -> bool

Returns true if all members are finite.

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impl<T, U> Point3D<T, U>
where T: Copy + Add<Output = T>,

pub fn add_size(self, other: Size3D<T, U>) -> Point3D<T, U>

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impl<T, U> Point3D<T, U>
where T: Real<Output = T> + Sub,

pub fn distance_to(self, other: Point3D<T, U>) -> T

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impl<T, U> Point3D<T, U>
where T: Euclid,

pub fn rem_euclid(&self, other: &Size3D<T, U>) -> Point3D<T, U>

Calculates the least nonnegative remainder of self (mod other).

§Example
use euclid::point3;
use euclid::default::{Point3D, Size3D};

let p = Point3D::new(7.0, -7.0, 0.0);
let s = Size3D::new(4.0, -4.0, 12.0);
assert_eq!(p.rem_euclid(&s), point3(3.0, 1.0, 0.0));
assert_eq!((-p).rem_euclid(&s), point3(1.0, 3.0, 0.0));
assert_eq!(p.rem_euclid(&-s), point3(3.0, 1.0, 0.0));

pub fn div_euclid(&self, other: &Size3D<T, U>) -> Point3D<T, U>

Calculates Euclidean division, the matching method for rem_euclid.

§Example
use euclid::point3;
use euclid::default::{Point3D, Size3D};

let p = Point3D::new(7.0, -7.0, 0.0);
let s = Size3D::new(4.0, -4.0, 12.0);

assert_eq!(p.div_euclid(&s), point3(1.0, 2.0, 0.0));
assert_eq!((-p).div_euclid(&s), point3(-2.0, -1.0, 0.0));
assert_eq!(p.div_euclid(&-s), point3(-1.0, -2.0, 0.0));

Trait Implementations§

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impl<T, U> Add<Size3D<T, U>> for Point3D<T, U>
where T: Add,

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type Output = Point3D<<T as Add>::Output, U>

The resulting type after applying the + operator.
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fn add( self, other: Size3D<T, U>, ) -> <Point3D<T, U> as Add<Size3D<T, U>>>::Output

Performs the + operation. Read more
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impl<T, U> Add<Vector3D<T, U>> for Point3D<T, U>
where T: Add,

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type Output = Point3D<<T as Add>::Output, U>

The resulting type after applying the + operator.
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fn add( self, other: Vector3D<T, U>, ) -> <Point3D<T, U> as Add<Vector3D<T, U>>>::Output

Performs the + operation. Read more
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impl<T, U> AddAssign<Size3D<T, U>> for Point3D<T, U>
where T: AddAssign,

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fn add_assign(&mut self, other: Size3D<T, U>)

Performs the += operation. Read more
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impl<T, U> AddAssign<Vector3D<T, U>> for Point3D<T, U>
where T: Copy + Add<Output = T>,

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fn add_assign(&mut self, other: Vector3D<T, U>)

Performs the += operation. Read more
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impl<T, U> ApproxEq<Point3D<T, U>> for Point3D<T, U>
where T: ApproxEq<T>,

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fn approx_epsilon() -> Point3D<T, U>

Default epsilon value
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fn approx_eq_eps(&self, other: &Point3D<T, U>, eps: &Point3D<T, U>) -> bool

Returns true if this object is approximately equal to the other one, using a provided epsilon value.
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fn approx_eq(&self, other: &Self) -> bool

Returns true if this object is approximately equal to the other one, using the approx_epsilon epsilon value.
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impl<T, U> Ceil for Point3D<T, U>
where T: Ceil,

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fn ceil(self) -> Point3D<T, U>

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impl<T, U> Clone for Point3D<T, U>
where T: Clone,

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fn clone(&self) -> Point3D<T, U>

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
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impl<T, U> Debug for Point3D<T, U>
where T: Debug,

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

Formats the value using the given formatter. Read more
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impl<T, U> Default for Point3D<T, U>
where T: Default,

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fn default() -> Point3D<T, U>

Returns the “default value” for a type. Read more
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impl<'de, T, U> Deserialize<'de> for Point3D<T, U>
where T: Deserialize<'de>,

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fn deserialize<D>( deserializer: D, ) -> Result<Point3D<T, U>, <D as Deserializer<'de>>::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<T, U1, U2> Div<Scale<T, U1, U2>> for Point3D<T, U2>
where T: Copy + Div,

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type Output = Point3D<<T as Div>::Output, U1>

The resulting type after applying the / operator.
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fn div( self, scale: Scale<T, U1, U2>, ) -> <Point3D<T, U2> as Div<Scale<T, U1, U2>>>::Output

Performs the / operation. Read more
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impl<T, U> Div<T> for Point3D<T, U>
where T: Copy + Div,

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type Output = Point3D<<T as Div>::Output, U>

The resulting type after applying the / operator.
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fn div(self, scale: T) -> <Point3D<T, U> as Div<T>>::Output

Performs the / operation. Read more
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impl<T, U> DivAssign<Scale<T, U, U>> for Point3D<T, U>
where T: Copy + DivAssign,

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fn div_assign(&mut self, scale: Scale<T, U, U>)

Performs the /= operation. Read more
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impl<T, U> DivAssign<T> for Point3D<T, U>
where T: Copy + DivAssign,

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fn div_assign(&mut self, scale: T)

Performs the /= operation. Read more
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impl<T, U> Floor for Point3D<T, U>
where T: Floor,

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fn floor(self) -> Point3D<T, U>

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impl<T, U> From<[T; 3]> for Point3D<T, U>

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fn from(_: [T; 3]) -> Point3D<T, U>

Converts to this type from the input type.
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impl<T, U> From<(T, T, T)> for Point3D<T, U>

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fn from(tuple: (T, T, T)) -> Point3D<T, U>

Converts to this type from the input type.
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impl<T, U> From<Point3D<T, U>> for HomogeneousVector<T, U>
where T: One,

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fn from(p: Point3D<T, U>) -> HomogeneousVector<T, U>

Converts to this type from the input type.
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impl<T, U> Hash for Point3D<T, U>
where T: Hash,

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fn hash<H>(&self, h: &mut H)
where H: Hasher,

Feeds this value into the given Hasher. Read more
1.3.0 · source§

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

Feeds a slice of this type into the given Hasher. Read more
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impl<T, U1, U2> Mul<Scale<T, U1, U2>> for Point3D<T, U1>
where T: Copy + Mul,

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type Output = Point3D<<T as Mul>::Output, U2>

The resulting type after applying the * operator.
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fn mul( self, scale: Scale<T, U1, U2>, ) -> <Point3D<T, U1> as Mul<Scale<T, U1, U2>>>::Output

Performs the * operation. Read more
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impl<T, U> Mul<T> for Point3D<T, U>
where T: Copy + Mul,

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type Output = Point3D<<T as Mul>::Output, U>

The resulting type after applying the * operator.
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fn mul(self, scale: T) -> <Point3D<T, U> as Mul<T>>::Output

Performs the * operation. Read more
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impl<T, U> MulAssign<Scale<T, U, U>> for Point3D<T, U>
where T: Copy + MulAssign,

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fn mul_assign(&mut self, scale: Scale<T, U, U>)

Performs the *= operation. Read more
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impl<T, U> MulAssign<T> for Point3D<T, U>
where T: Copy + MulAssign,

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fn mul_assign(&mut self, scale: T)

Performs the *= operation. Read more
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impl<T, U> Neg for Point3D<T, U>
where T: Neg,

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type Output = Point3D<<T as Neg>::Output, U>

The resulting type after applying the - operator.
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fn neg(self) -> <Point3D<T, U> as Neg>::Output

Performs the unary - operation. Read more
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impl<T, U> PartialEq for Point3D<T, U>
where T: PartialEq,

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fn eq(&self, other: &Point3D<T, U>) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T, U> Round for Point3D<T, U>
where T: Round,

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fn round(self) -> Point3D<T, U>

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impl<T, U> Serialize for Point3D<T, U>
where T: Serialize,

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fn serialize<S>( &self, serializer: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<T, U> Sub<Size3D<T, U>> for Point3D<T, U>
where T: Sub,

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type Output = Point3D<<T as Sub>::Output, U>

The resulting type after applying the - operator.
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fn sub( self, other: Size3D<T, U>, ) -> <Point3D<T, U> as Sub<Size3D<T, U>>>::Output

Performs the - operation. Read more
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impl<T, U> Sub<Vector3D<T, U>> for Point3D<T, U>
where T: Sub,

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type Output = Point3D<<T as Sub>::Output, U>

The resulting type after applying the - operator.
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fn sub( self, other: Vector3D<T, U>, ) -> <Point3D<T, U> as Sub<Vector3D<T, U>>>::Output

Performs the - operation. Read more
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impl<T, U> Sub for Point3D<T, U>
where T: Sub,

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type Output = Vector3D<<T as Sub>::Output, U>

The resulting type after applying the - operator.
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fn sub(self, other: Point3D<T, U>) -> <Point3D<T, U> as Sub>::Output

Performs the - operation. Read more
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impl<T, U> SubAssign<Size3D<T, U>> for Point3D<T, U>
where T: SubAssign,

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fn sub_assign(&mut self, other: Size3D<T, U>)

Performs the -= operation. Read more
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impl<T, U> SubAssign<Vector3D<T, U>> for Point3D<T, U>
where T: Copy + Sub<Output = T>,

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fn sub_assign(&mut self, other: Vector3D<T, U>)

Performs the -= operation. Read more
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impl<T, U> Transitionable for Point3D<T, U>
where T: Transitionable, U: Send + Sync + Any,

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fn lerp(self, to: &Point3D<T, U>, step: Factor) -> Point3D<T, U>

Sample the linear interpolation from self -> to by step.
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impl<T, U> Zero for Point3D<T, U>
where T: Zero,

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fn zero() -> Point3D<T, U>

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impl<T, U> Zeroable for Point3D<T, U>
where T: Zeroable,

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fn zeroed() -> Self

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impl<T, U> Copy for Point3D<T, U>
where T: Copy,

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impl<T, U> Eq for Point3D<T, U>
where T: Eq,

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impl<T, U> Pod for Point3D<T, U>
where T: Pod, U: 'static,

Auto Trait Implementations§

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impl<T, U> Freeze for Point3D<T, U>
where T: Freeze,

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impl<T, U> RefUnwindSafe for Point3D<T, U>

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impl<T, U> Send for Point3D<T, U>
where T: Send, U: Send,

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impl<T, U> Sync for Point3D<T, U>
where T: Sync, U: Sync,

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impl<T, U> Unpin for Point3D<T, U>
where T: Unpin, U: Unpin,

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impl<T, U> UnwindSafe for Point3D<T, U>
where T: UnwindSafe, U: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> AnyVarValue for T
where T: VarValue,

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fn as_any(&self) -> &(dyn Any + 'static)

Access to dyn Any methods.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Access to mut dyn Any methods.
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fn clone_boxed(&self) -> Box<dyn AnyVarValue>

Clone the value.
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fn clone_boxed_var(&self) -> Box<dyn AnyVar>

Clone the value into a new boxed LocalVar<Self>.
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fn into_any(self: Box<T>) -> Box<dyn Any>

Access to Box<dyn Any> methods.
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fn eq_any(&self, other: &(dyn AnyVarValue + 'static)) -> bool

Gets if self equals other.
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CheckedBitPattern for T
where T: AnyBitPattern,

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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.
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fn is_valid_bit_pattern(_bits: &T) -> bool

If this function returns true, then it must be valid to reinterpret bits as &Self.
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> IntoVar<T> for T
where T: VarValue,

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type Var = LocalVar<T>

Variable type that will wrap the T value. Read more
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fn into_var(self) -> <T as IntoVar<T>>::Var

Converts the source value into a var.
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fn into_boxed_var(self) -> Box<dyn VarBoxed<T>>
where Self: Sized,

Converts into BoxedVar<T>. Read more
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impl<T> Pointable for T

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const ALIGN: usize = _

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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impl<T> AnyBitPattern for T
where T: Pod,

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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<T> IntoValue<T> for T
where T: VarValue,

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impl<T> NoUninit for T
where T: Pod,

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impl<T> VarValue for T
where T: Debug + Clone + PartialEq + Any + Send + Sync,