Struct Point2D

#[repr(C)]
pub struct Point2D<T, U> {
    pub x: T,
    pub y: T,
    /* private fields */
}

A 2d Point tagged with a unit.

Fields

x: T

y: T

Implementations

impl<T, U> Point2D<T, U>

pub fn origin() -> Point2D<T, U>

where T: Zero,

Constructor, setting all components to zero.

pub fn zero() -> Point2D<T, U>

where T: Zero,

The same as Point2D::origin.

pub const fn new(x: T, y: T) -> Point2D<T, U>

Constructor taking scalar values directly.

pub fn from_lengths(x: Length<T, U>, y: Length<T, U>) -> Point2D<T, U>

Constructor taking properly Lengths instead of scalar values.

pub fn splat(v: T) -> Point2D<T, U>

where T: Clone,

Constructor setting all components to the same value.

pub fn from_untyped(p: Point2D<T, UnknownUnit>) -> Point2D<T, U>

Tag a unitless value with units.

pub fn map<V, F>(self, f: F) -> Point2D<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::Point2D;

let p = Point2D::<u32>::new(5, 15);
assert_eq!(p.map(|coord| coord.saturating_sub(10)), Point2D::new(0, 5));

pub fn zip<V, F>(self, rhs: Point2D<T, U>, f: F) -> Vector2D<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::{Point2D, Vector2D}, point2};

let a: Point2D<u32> = point2(50, 200);
let b: Point2D<u32> = point2(100, 100);
assert_eq!(a.zip(b, u32::saturating_sub), Vector2D::new(0, 100));

impl<T, U> Point2D<T, U>

where T: Copy,

pub fn extend(self, z: T) -> Point3D<T, U>

Create a 3d point from this one, using the specified z value.

pub fn to_vector(self) -> Vector2D<T, U>

Cast this point into a vector.

Equivalent to subtracting the origin from this point.

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

Swap x and y.

Example

enum Mm {}

let point: Point2D<_, Mm> = point2(1, -8);

assert_eq!(point.yx(), point2(-8, 1));

pub fn to_untyped(self) -> Point2D<T, UnknownUnit>

Drop the units, preserving only the numeric value.

Example

enum Mm {}

let point: Point2D<_, Mm> = point2(1, -8);

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

pub fn cast_unit<V>(self) -> Point2D<T, V>

Cast the unit, preserving the numeric value.

Example

enum Mm {}
enum Cm {}

let point: Point2D<_, Mm> = point2(1, -8);

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

pub fn to_array(self) -> [T; 2]

Cast into an array with x and y.

Example

enum Mm {}

let point: Point2D<_, Mm> = point2(1, -8);

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

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

Cast into a tuple with x and y.

Example

enum Mm {}

let point: Point2D<_, Mm> = point2(1, -8);

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

pub fn to_3d(self) -> Point3D<T, U>

where T: Zero,

Convert into a 3d point with z-coordinate equals to zero.

pub fn round(self) -> Point2D<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!(point2::<_, Mm>(-0.1, -0.8).round(), point2::<_, Mm>(0.0, -1.0))

pub fn ceil(self) -> Point2D<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!(point2::<_, Mm>(-0.1, -0.8).ceil(), point2::<_, Mm>(0.0, 0.0))

pub fn floor(self) -> Point2D<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!(point2::<_, Mm>(-0.1, -0.8).floor(), point2::<_, Mm>(-1.0, -1.0))

pub fn lerp(self, other: Point2D<T, U>, t: T) -> Point2D<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::point2;
use euclid::default::Point2D;

let from: Point2D<_> = point2(0.0, 10.0);
let to:  Point2D<_> = point2(8.0, -4.0);

assert_eq!(from.lerp(to, -1.0), point2(-8.0,  24.0));
assert_eq!(from.lerp(to,  0.0), point2( 0.0,  10.0));
assert_eq!(from.lerp(to,  0.5), point2( 4.0,   3.0));
assert_eq!(from.lerp(to,  1.0), point2( 8.0,  -4.0));
assert_eq!(from.lerp(to,  2.0), point2(16.0, -18.0));

impl<T, U> Point2D<T, U>

where T: PartialOrd,

pub fn min(self, other: Point2D<T, U>) -> Point2D<T, U>

pub fn max(self, other: Point2D<T, U>) -> Point2D<T, U>

pub fn clamp(self, start: Point2D<T, U>, end: Point2D<T, U>) -> Point2D<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).

impl<T, U> Point2D<T, U>

where T: NumCast + Copy,

pub fn cast<NewT>(self) -> Point2D<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<Point2D<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) -> Point2D<f32, U>

Cast into an f32 point.

pub fn to_f64(self) -> Point2D<f64, U>

Cast into an f64 point.

pub fn to_usize(self) -> Point2D<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) -> Point2D<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) -> Point2D<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) -> Point2D<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.

impl<T, U> Point2D<T, U>

where T: Float,

pub fn is_finite(self) -> bool

Returns true if all members are finite.

impl<T, U> Point2D<T, U>

where T: Copy + Add<Output = T>,

pub fn add_size(self, other: &Size2D<T, U>) -> Point2D<T, U>

impl<T, U> Point2D<T, U>

where T: Real<Output = T> + Sub,

pub fn distance_to(self, other: Point2D<T, U>) -> T

impl<T, U> Point2D<T, U>

where T: Euclid,

pub fn rem_euclid(&self, other: &Size2D<T, U>) -> Point2D<T, U>

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

Example

use euclid::point2;
use euclid::default::{Point2D, Size2D};

let p = Point2D::new(7.0, -7.0);
let s = Size2D::new(4.0, -4.0);

assert_eq!(p.rem_euclid(&s), point2(3.0, 1.0));
assert_eq!((-p).rem_euclid(&s), point2(1.0, 3.0));
assert_eq!(p.rem_euclid(&-s), point2(3.0, 1.0));

pub fn div_euclid(&self, other: &Size2D<T, U>) -> Point2D<T, U>

Calculates Euclidean division, the matching method for rem_euclid.

Example

use euclid::point2;
use euclid::default::{Point2D, Size2D};

let p = Point2D::new(7.0, -7.0);
let s = Size2D::new(4.0, -4.0);

assert_eq!(p.div_euclid(&s), point2(1.0, 2.0));
assert_eq!((-p).div_euclid(&s), point2(-2.0, -1.0));
assert_eq!(p.div_euclid(&-s), point2(-1.0, -2.0));

Trait Implementations

impl<T, U> Add<Size2D<T, U>> for Point2D<T, U>

where T: Add,

type Output = Point2D<<T as Add>::Output, U>

The resulting type after applying the + operator.

fn add( self, other: Size2D<T, U>, ) -> <Point2D<T, U> as Add<Size2D<T, U>>>::Output

Performs the + operation.

impl<T, U> Add<Vector2D<T, U>> for Point2D<T, U>

where T: Add,

type Output = Point2D<<T as Add>::Output, U>

The resulting type after applying the + operator.

fn add( self, other: Vector2D<T, U>, ) -> <Point2D<T, U> as Add<Vector2D<T, U>>>::Output

Performs the + operation.

impl<T, U> AddAssign<Size2D<T, U>> for Point2D<T, U>

where T: AddAssign,

fn add_assign(&mut self, other: Size2D<T, U>)

Performs the += operation.

impl<T, U> AddAssign<Vector2D<T, U>> for Point2D<T, U>

where T: Copy + Add<Output = T>,

fn add_assign(&mut self, other: Vector2D<T, U>)

Performs the += operation.

impl<T, U> ApproxEq<Point2D<T, U>> for Point2D<T, U>

where T: ApproxEq<T>,

fn approx_epsilon() -> Point2D<T, U>

Default epsilon value

fn approx_eq_eps(&self, other: &Point2D<T, U>, eps: &Point2D<T, U>) -> bool

Returns true if this object is approximately equal to the other one, using a provided epsilon value.

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.

impl<T, U> Ceil for Point2D<T, U>

where T: Ceil,

fn ceil(self) -> Point2D<T, U>

See Point2D::ceil.

impl<T, U> Clone for Point2D<T, U>

where T: Clone,

fn clone(&self) -> Point2D<T, U>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T, U> Debug for Point2D<T, U>

where T: Debug,

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

Formats the value using the given formatter.

impl<T, U> Default for Point2D<T, U>

where T: Default,

fn default() -> Point2D<T, U>

Returns the “default value” for a type.

impl<T, U1, U2> Div<Scale<T, U1, U2>> for Point2D<T, U2>

where T: Copy + Div,

type Output = Point2D<<T as Div>::Output, U1>

The resulting type after applying the / operator.

fn div( self, scale: Scale<T, U1, U2>, ) -> <Point2D<T, U2> as Div<Scale<T, U1, U2>>>::Output

Performs the / operation.

impl<T, U> Div<T> for Point2D<T, U>

where T: Copy + Div,

type Output = Point2D<<T as Div>::Output, U>

The resulting type after applying the / operator.

fn div(self, scale: T) -> <Point2D<T, U> as Div<T>>::Output

Performs the / operation.

impl<T, U> DivAssign<Scale<T, U, U>> for Point2D<T, U>

where T: Copy + DivAssign,

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

Performs the /= operation.

impl<T, U> DivAssign<T> for Point2D<T, U>

where T: Copy + Div<Output = T>,

fn div_assign(&mut self, scale: T)

Performs the /= operation.

impl<T, U> Floor for Point2D<T, U>

where T: Floor,

fn floor(self) -> Point2D<T, U>

See Point2D::floor.

impl<T, U> From<[T; 2]> for Point2D<T, U>

fn from(_: [T; 2]) -> Point2D<T, U>

Converts to this type from the input type.

impl<T, U> From<(T, T)> for Point2D<T, U>

fn from(tuple: (T, T)) -> Point2D<T, U>

Converts to this type from the input type.

impl<T, U> From<Point2D<T, U>> for HomogeneousVector<T, U>

where T: Zero + One,

fn from(p: Point2D<T, U>) -> HomogeneousVector<T, U>

Converts to this type from the input type.

impl<T, U> Hash for Point2D<T, U>

where T: Hash,

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

where H: Hasher,

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<T, U1, U2> Mul<Scale<T, U1, U2>> for Point2D<T, U1>

where T: Copy + Mul,

type Output = Point2D<<T as Mul>::Output, U2>

The resulting type after applying the * operator.

fn mul( self, scale: Scale<T, U1, U2>, ) -> <Point2D<T, U1> as Mul<Scale<T, U1, U2>>>::Output

Performs the * operation.

impl<T, U> Mul<T> for Point2D<T, U>

where T: Copy + Mul,

type Output = Point2D<<T as Mul>::Output, U>

The resulting type after applying the * operator.

fn mul(self, scale: T) -> <Point2D<T, U> as Mul<T>>::Output

Performs the * operation.

impl<T, U> MulAssign<Scale<T, U, U>> for Point2D<T, U>

where T: Copy + MulAssign,

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

Performs the *= operation.

impl<T, U> MulAssign<T> for Point2D<T, U>

where T: Copy + Mul<Output = T>,

fn mul_assign(&mut self, scale: T)

Performs the *= operation.

impl<T, U> Neg for Point2D<T, U>

where T: Neg,

type Output = Point2D<<T as Neg>::Output, U>

The resulting type after applying the - operator.

fn neg(self) -> <Point2D<T, U> as Neg>::Output

Performs the unary - operation.

impl<T, U> PartialEq for Point2D<T, U>

where T: PartialEq,

fn eq(&self, other: &Point2D<T, U>) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<U> Position for Point2D<f32, U>

fn position(&self) -> Point2D<f32, UnknownUnit>

impl<T, U> Round for Point2D<T, U>

where T: Round,

fn round(self) -> Point2D<T, U>

See Point2D::round.

impl<T, U> Sub<Size2D<T, U>> for Point2D<T, U>

where T: Sub,

type Output = Point2D<<T as Sub>::Output, U>

The resulting type after applying the - operator.

fn sub( self, other: Size2D<T, U>, ) -> <Point2D<T, U> as Sub<Size2D<T, U>>>::Output

Performs the - operation.

impl<T, U> Sub<Vector2D<T, U>> for Point2D<T, U>

where T: Sub,

type Output = Point2D<<T as Sub>::Output, U>

The resulting type after applying the - operator.

fn sub( self, other: Vector2D<T, U>, ) -> <Point2D<T, U> as Sub<Vector2D<T, U>>>::Output

Performs the - operation.

impl<T, U> Sub for Point2D<T, U>

where T: Sub,

type Output = Vector2D<<T as Sub>::Output, U>

The resulting type after applying the - operator.

fn sub(self, other: Point2D<T, U>) -> <Point2D<T, U> as Sub>::Output

Performs the - operation.

impl<T, U> SubAssign<Size2D<T, U>> for Point2D<T, U>

where T: SubAssign,

fn sub_assign(&mut self, other: Size2D<T, U>)

Performs the -= operation.

impl<T, U> SubAssign<Vector2D<T, U>> for Point2D<T, U>

where T: Copy + Sub<Output = T>,

fn sub_assign(&mut self, other: Vector2D<T, U>)

Performs the -= operation.

impl<T, U> Zero for Point2D<T, U>

where T: Zero,

fn zero() -> Point2D<T, U>

impl<T, U> Copy for Point2D<T, U>

where T: Copy,

impl<T, U> Eq for Point2D<T, U>

where T: Eq,