cosmic::widget::canvas::path::lyon_path::geom::euclid

Struct Box3D

#[repr(C)]pub struct Box3D<T, U> {
    pub min: Point3D<T, U>,
    pub max: Point3D<T, U>,
}

Expand description

An axis aligned 3D box represented by its minimum and maximum coordinates.

Fields§

§min: Point3D<T, U>§max: Point3D<T, U>

Implementations§

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impl<T, U> Box3D<T, U>

pub const fn new(min: Point3D<T, U>, max: Point3D<T, U>) -> Box3D<T, U>

Constructor.

pub fn from_origin_and_size( origin: Point3D<T, U>, size: Size3D<T, U>, ) -> Box3D<T, U>
where T: Copy + Add<Output = T>,

Constructor.

pub fn from_size(size: Size3D<T, U>) -> Box3D<T, U>
where T: Zero,

Creates a Box3D of the given size, at offset zero.

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impl<T, U> Box3D<T, U>
where T: PartialOrd,

pub fn is_negative(&self) -> bool

Returns true if the box has a negative volume.

The common interpretation for a negative box is to consider it empty. It can be obtained by calculating the intersection of two boxes that do not intersect.

pub fn is_empty(&self) -> bool

Returns true if the size is zero, negative or NaN.

pub fn intersects(&self, other: &Box3D<T, U>) -> bool

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

Returns true if this Box3D contains the point p.

Points on the front, left, and top faces are inside the box, whereas points on the back, right, and bottom faces are outside the box. See Box3D::contains_inclusive for a variant that also includes those latter points.

§Examples

use euclid::default::{Box3D, Point3D};

let cube = Box3D::new(Point3D::origin(), Point3D::new(2, 2, 2));

assert!(cube.contains(Point3D::new(1, 1, 1)));

assert!(cube.contains(Point3D::new(0, 1, 1))); // front face
assert!(cube.contains(Point3D::new(1, 0, 1))); // left face
assert!(cube.contains(Point3D::new(1, 1, 0))); // top face
assert!(cube.contains(Point3D::new(0, 0, 0)));

assert!(!cube.contains(Point3D::new(2, 1, 1))); // back face
assert!(!cube.contains(Point3D::new(1, 2, 1))); // right face
assert!(!cube.contains(Point3D::new(1, 1, 2))); // bottom face
assert!(!cube.contains(Point3D::new(2, 2, 2)));

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

Returns true if this Box3D contains the point p.

This is like Box3D::contains, but points on the back, right, and bottom faces are also inside the box.

§Examples

use euclid::default::{Box3D, Point3D};

let cube = Box3D::new(Point3D::origin(), Point3D::new(2, 2, 2));

assert!(cube.contains_inclusive(Point3D::new(1, 1, 1)));

assert!(cube.contains_inclusive(Point3D::new(0, 1, 1))); // front face
assert!(cube.contains_inclusive(Point3D::new(1, 0, 1))); // left face
assert!(cube.contains_inclusive(Point3D::new(1, 1, 0))); // top face
assert!(cube.contains_inclusive(Point3D::new(0, 0, 0))); // front-left-top corner

assert!(cube.contains_inclusive(Point3D::new(2, 1, 1))); // back face
assert!(cube.contains_inclusive(Point3D::new(1, 2, 1))); // right face
assert!(cube.contains_inclusive(Point3D::new(1, 1, 2))); // bottom face
assert!(cube.contains_inclusive(Point3D::new(2, 2, 2))); // back-right-bottom corner

pub fn contains_box(&self, other: &Box3D<T, U>) -> bool

Returns true if this box3d contains the interior of the other box3d. Always returns true if other is empty, and always returns false if other is nonempty but this box3d is empty.

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impl<T, U> Box3D<T, U>
where T: Copy + PartialOrd,

pub fn to_non_empty(&self) -> Option<Box3D<T, U>>

pub fn intersection(&self, other: &Box3D<T, U>) -> Option<Box3D<T, U>>

pub fn intersection_unchecked(&self, other: &Box3D<T, U>) -> Box3D<T, U>

pub fn union(&self, other: &Box3D<T, U>) -> Box3D<T, U>

Computes the union of two boxes.

If either of the boxes is empty, the other one is returned.

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impl<T, U> Box3D<T, U>
where T: Copy + Add<Output = T>,

pub fn translate(&self, by: Vector3D<T, U>) -> Box3D<T, U>

Returns the same box3d, translated by a vector.

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impl<T, U> Box3D<T, U>
where T: Copy + Sub<Output = T>,

pub fn size(&self) -> Size3D<T, U>

pub fn width(&self) -> T

pub fn height(&self) -> T

pub fn depth(&self) -> T

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impl<T, U> Box3D<T, U>
where T: Copy + Add<Output = T> + Sub<Output = T>,

pub fn inflate(&self, width: T, height: T, depth: T) -> Box3D<T, U>

Inflates the box by the specified sizes on each side respectively.

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impl<T, U> Box3D<T, U>
where T: Copy + Zero + PartialOrd,

pub fn from_points(points: I) -> Box3D<T, U>
where I: IntoIterator, ::Item: Borrow<Point3D<T, U>>,

Returns the smallest box enclosing all of the provided points.

The top/bottom/left/right/front/back-most points are exactly on the box’s edges. Since Box3D::contains excludes points that are on the right/bottom/back-most faces, not all points passed to Box3D::from_points are contained in the returned Box3D when probed with Box3D::contains, but are when probed with Box3D::contains_inclusive.

For example:

use euclid::default::{Point3D, Box3D};

let a = Point3D::origin();
let b = Point3D::new(1, 2, 3);
let box3 = Box3D::from_points([a, b]);

assert_eq!(box3.width(), 1);
assert_eq!(box3.height(), 2);
assert_eq!(box3.depth(), 3);

assert!(box3.contains(a));
assert!(!box3.contains(b));
assert!(box3.contains_inclusive(b));

In particular, calling Box3D::from_points with a single point results in an empty Box3D:

use euclid::default::{Point3D, Box3D};

let a = Point3D::new(1, 0, 1);
let box3 = Box3D::from_points([a]);

assert!(box3.is_empty());
assert!(!box3.contains(a));
assert!(box3.contains_inclusive(a));

The Box3D enclosing no points is also empty:

use euclid::default::{Box3D, Point3D};

let box3 = Box3D::from_points(std::iter::empty::<Point3D<i32>>());
assert!(box3.is_empty());

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impl<T, U> Box3D<T, U>
where T: One + Add<Output = T> + Sub<Output = T> + Mul<Output = T> + Copy,

pub fn lerp(&self, other: Box3D<T, U>, t: T) -> Box3D<T, U>

Linearly interpolate between this box3d and another box3d.

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impl<T, U> Box3D<T, U>
where T: Copy + One + Add<Output = T> + Div<Output = T>,

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

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impl<T, U> Box3D<T, U>
where T: Copy + Mul<Output = T> + Sub<Output = T>,

pub fn volume(&self) -> T

pub fn xy_area(&self) -> T

pub fn yz_area(&self) -> T

pub fn xz_area(&self) -> T

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impl<T, U> Box3D<T, U>
where T: Zero,

pub fn zero() -> Box3D<T, U>

Constructor, setting all sides to zero.

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impl<T, U> Box3D<T, U>
where T: Copy,

pub fn x_range(&self) -> Range<T>

pub fn y_range(&self) -> Range<T>

pub fn z_range(&self) -> Range<T>

pub fn to_untyped(&self) -> Box3D<T, UnknownUnit>

Drop the units, preserving only the numeric value.

pub fn from_untyped(c: &Box3D<T, UnknownUnit>) -> Box3D<T, U>

Tag a unitless value with units.

pub fn cast_unit<V>(&self) -> Box3D<T, V>

Cast the unit

pub fn scale<S>(&self, x: S, y: S, z: S) -> Box3D<T, U>
where S: Copy, T: Mul<S, Output = T>,

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impl<T, U> Box3D<T, U>
where T: NumCast + Copy,

pub fn cast<NewT>(&self) -> Box3D<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, round_in or round_out before casting.

pub fn try_cast<NewT>(&self) -> Option<Box3D<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, round_in or round_out before casting.

pub fn to_f32(&self) -> Box3D<f32, U>

Cast into an f32 box3d.

pub fn to_f64(&self) -> Box3D<f64, U>

Cast into an f64 box3d.

pub fn to_usize(&self) -> Box3D<usize, U>

Cast into an usize box3d, truncating decimals if any.

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

pub fn to_u32(&self) -> Box3D<u32, U>

Cast into an u32 box3d, truncating decimals if any.

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

pub fn to_i32(&self) -> Box3D<i32, U>

Cast into an i32 box3d, truncating decimals if any.

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

pub fn to_i64(&self) -> Box3D<i64, U>

Cast into an i64 box3d, truncating decimals if any.

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

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impl<T, U> Box3D<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> Box3D<T, U>
where T: Round,

pub fn round(&self) -> Box3D<T, U>

Return a box3d with edges rounded to integer coordinates, such that the returned box3d has the same set of pixel centers as the original one. Values equal to 0.5 round up. Suitable for most places where integral device coordinates are needed, but note that any translation should be applied first to avoid pixel rounding errors. Note that this is not rounding to nearest integer if the values are negative. They are always rounding as floor(n + 0.5).

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