Struct euclid::Point3D

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#[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>

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pub fn origin() -> Self
where T: Zero,

Constructor, setting all components to zero.

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pub fn zero() -> Self
where T: Zero,

The same as Point3D::origin.

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pub const fn new(x: T, y: T, z: T) -> Self

Constructor taking scalar values directly.

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

Constructor taking properly Lengths instead of scalar values.

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pub fn splat(v: T) -> Self
where T: Clone,

Constructor setting all components to the same value.

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

Tag a unitless value with units.

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

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));

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

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: Copy, U> Point3D<T, U>

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

Cast this point into a vector.

Equivalent to subtracting the origin to this point.

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

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

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

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

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

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

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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]);

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

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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));

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

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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);

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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);

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

Convert into a 2d point.

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pub fn round(self) -> Self
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))

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pub fn ceil(self) -> Self
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))

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pub fn floor(self) -> Self
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))

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pub fn lerp(self, other: Self, t: T) -> Self
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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pub fn clamp(self, start: Self, end: Self) -> Self
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: NumCast + Copy, U> Point3D<T, U>

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

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.

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

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.

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

Cast into an f32 point.

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

Cast into an f64 point.

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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.

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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.

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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.

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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: Float, U> Point3D<T, U>

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pub fn is_finite(self) -> bool

Returns true if all members are finite.

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

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

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

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pub fn distance_to(self, other: Self) -> T

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

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

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));

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

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));