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Vec2

Struct Vec2 

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#[repr(C)]
pub struct Vec2 { pub x: f32, pub y: f32, }
Expand description

A vector has a direction and length. A Vec2 is often used to represent a size.

emath represents positions using crate::Pos2.

Normally the units are points (logical pixels).

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§x: f32

Rightwards. Width.

§y: f32

Downwards. Height.

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impl Vec2

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pub const X: Vec2

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pub const Y: Vec2

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pub const RIGHT: Vec2

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pub const LEFT: Vec2

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pub const UP: Vec2

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pub const DOWN: Vec2

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pub const ZERO: Vec2

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pub const INFINITY: Vec2

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pub const fn new(x: f32, y: f32) -> Vec2

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pub const fn splat(v: f32) -> Vec2

Set both x and y to the same value.

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pub fn to_pos2(self) -> Pos2

Treat this vector as a position. v.to_pos2() is equivalent to Pos2::default() + v.

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pub fn normalized(self) -> Vec2

Safe normalize: returns zero if input is zero.

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pub fn rot90(self) -> Vec2

Rotates the vector by 90°, i.e positive X to positive Y (clockwise in egui coordinates).

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pub fn length(self) -> f32

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pub fn length_sq(self) -> f32

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pub fn angle(self) -> f32

Measures the angle of the vector.

use std::f32::consts::TAU;

assert_eq!(Vec2::ZERO.angle(), 0.0);
assert_eq!(Vec2::angled(0.0).angle(), 0.0);
assert_eq!(Vec2::angled(1.0).angle(), 1.0);
assert_eq!(Vec2::X.angle(), 0.0);
assert_eq!(Vec2::Y.angle(), 0.25 * TAU);

assert_eq!(Vec2::RIGHT.angle(), 0.0);
assert_eq!(Vec2::DOWN.angle(), 0.25 * TAU);
assert_eq!(Vec2::UP.angle(), -0.25 * TAU);
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pub fn angled(angle: f32) -> Vec2

Create a unit vector with the given CW angle (in radians).

  • An angle of zero gives the unit X axis.
  • An angle of 𝞃/4 = 90° gives the unit Y axis.
use std::f32::consts::TAU;

assert_eq!(Vec2::angled(0.0), Vec2::X);
assert!((Vec2::angled(0.25 * TAU) - Vec2::Y).length() < 1e-5);
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pub fn floor(self) -> Vec2

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pub fn round(self) -> Vec2

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pub fn ceil(self) -> Vec2

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pub fn abs(self) -> Vec2

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pub fn is_finite(self) -> bool

True if all members are also finite.

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pub fn any_nan(self) -> bool

True if any member is NaN.

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pub fn min(self, other: Vec2) -> Vec2

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pub fn max(self, other: Vec2) -> Vec2

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pub fn dot(self, other: Vec2) -> f32

The dot-product of two vectors.

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pub fn min_elem(self) -> f32

Returns the minimum of self.x and self.y.

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pub fn max_elem(self) -> f32

Returns the maximum of self.x and self.y.

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pub fn clamp(self, min: Vec2, max: Vec2) -> Vec2

Trait Implementations§

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impl Add for Vec2

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type Output = Vec2

The resulting type after applying the + operator.
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fn add(self, rhs: Vec2) -> Vec2

Performs the + operation. Read more
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impl Add<Vec2> for Pos2

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type Output = Pos2

The resulting type after applying the + operator.
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fn add(self, rhs: Vec2) -> Pos2

Performs the + operation. Read more
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impl AddAssign for Vec2

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fn add_assign(&mut self, rhs: Vec2)

Performs the += operation. Read more
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impl AddAssign<Vec2> for Pos2

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fn add_assign(&mut self, rhs: Vec2)

Performs the += operation. Read more
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impl Clone for Vec2

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fn clone(&self) -> Vec2

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Copy for Vec2

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impl Debug for Vec2

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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 Default for Vec2

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fn default() -> Vec2

Returns the “default value” for a type. Read more
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impl Div for Vec2

Element-wise division

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type Output = Vec2

The resulting type after applying the / operator.
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fn div(self, rhs: Vec2) -> Vec2

Performs the / operation. Read more
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impl Div<f32> for Vec2

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type Output = Vec2

The resulting type after applying the / operator.
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fn div(self, factor: f32) -> Vec2

Performs the / operation. Read more
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impl Eq for Vec2

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impl From<&(f32, f32)> for Vec2

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fn from(v: &(f32, f32)) -> Vec2

Converts to this type from the input type.
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impl From<&[f32; 2]> for Vec2

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fn from(v: &[f32; 2]) -> Vec2

Converts to this type from the input type.
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impl From<(f32, f32)> for Vec2

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fn from(v: (f32, f32)) -> Vec2

Converts to this type from the input type.
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impl From<Vec2> for Margin

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fn from(v: Vec2) -> Margin

Converts to this type from the input type.
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impl From<[f32; 2]> for Vec2

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fn from(v: [f32; 2]) -> Vec2

Converts to this type from the input type.
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impl Index<usize> for Vec2

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type Output = f32

The returned type after indexing.
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fn index(&self, index: usize) -> &f32

Performs the indexing (container[index]) operation. Read more
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impl IndexMut<usize> for Vec2

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fn index_mut(&mut self, index: usize) -> &mut f32

Performs the mutable indexing (container[index]) operation. Read more
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impl Mul for Vec2

Element-wise multiplication

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, vec: Vec2) -> Vec2

Performs the * operation. Read more
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impl Mul<Vec2> for Rot2

Rotates (and maybe scales) the vector.

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, v: Vec2) -> Vec2

Performs the * operation. Read more
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impl Mul<f32> for Vec2

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, factor: f32) -> Vec2

Performs the * operation. Read more
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impl MulAssign<f32> for Vec2

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fn mul_assign(&mut self, rhs: f32)

Performs the *= operation. Read more
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impl Neg for Vec2

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type Output = Vec2

The resulting type after applying the - operator.
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fn neg(self) -> Vec2

Performs the unary - operation. Read more
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impl NumExt for Vec2

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fn at_least(self, lower_limit: Vec2) -> Vec2

More readable version of self.max(lower_limit)
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fn at_most(self, upper_limit: Vec2) -> Vec2

More readable version of self.min(upper_limit)
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impl PartialEq for Vec2

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fn eq(&self, other: &Vec2) -> bool

Tests for self and other values to be equal, and is used by ==.
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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 Pod for Vec2

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impl StructuralPartialEq for Vec2

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impl Sub for Vec2

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type Output = Vec2

The resulting type after applying the - operator.
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fn sub(self, rhs: Vec2) -> Vec2

Performs the - operation. Read more
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impl Sub<Vec2> for Pos2

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type Output = Pos2

The resulting type after applying the - operator.
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fn sub(self, rhs: Vec2) -> Pos2

Performs the - operation. Read more
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impl SubAssign for Vec2

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fn sub_assign(&mut self, rhs: Vec2)

Performs the -= operation. Read more
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impl SubAssign<Vec2> for Pos2

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fn sub_assign(&mut self, rhs: Vec2)

Performs the -= operation. Read more
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impl Zeroable for Vec2

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fn zeroed() -> Self

Auto Trait Implementations§

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impl Freeze for Vec2

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impl RefUnwindSafe for Vec2

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impl Send for Vec2

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impl Sync for Vec2

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impl Unpin for Vec2

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impl UnsafeUnpin for Vec2

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impl UnwindSafe for Vec2

Blanket Implementations§

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impl<S, D, Swp, Dwp, T> AdaptInto<D, Swp, Dwp, T> for S
where T: Real + Zero + Arithmetics + Clone, Swp: WhitePoint<T>, Dwp: WhitePoint<T>, D: AdaptFrom<S, Swp, Dwp, T>,

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fn adapt_into_using<M>(self, method: M) -> D
where M: TransformMatrix<T>,

Convert the source color to the destination color using the specified method.
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fn adapt_into(self) -> D

Convert the source color to the destination color using the bradford method by default.
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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> AnyBitPattern for T
where T: Pod,

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impl<T, C> ArraysFrom<C> for T
where C: IntoArrays<T>,

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fn arrays_from(colors: C) -> T

Cast a collection of colors into a collection of arrays.
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impl<T, C> ArraysInto<C> for T
where C: FromArrays<T>,

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fn arrays_into(self) -> C

Cast this collection of arrays into a collection of colors.
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impl<T> AsAny for T
where T: Any,

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

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

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fn type_name(&self) -> &'static str

Gets the type name of self
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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<WpParam, T, U> Cam16IntoUnclamped<WpParam, T> for U
where T: FromCam16Unclamped<WpParam, U>,

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type Scalar = <T as FromCam16Unclamped<WpParam, U>>::Scalar

The number type that’s used in parameters when converting.
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fn cam16_into_unclamped( self, parameters: BakedParameters<WpParam, <U as Cam16IntoUnclamped<WpParam, T>>::Scalar>, ) -> T

Converts self into C, using the provided parameters.
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impl<ST, DT> CastableFrom<ST, Initialized, Initialized> for DT
where ST: ?Sized, DT: ?Sized,

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impl<ST, DT> CastableFrom<ST, Uninit, Uninit> for DT
where ST: ?Sized, DT: ?Sized,

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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, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

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impl<T, Right> ClosedMul<Right> for T
where T: Mul<Right, Output = T> + MulAssign<Right>,

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impl<T> ClosedNeg for T
where T: Neg<Output = T>,

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impl<T, Right> ClosedSub<Right> for T
where T: Sub<Right, Output = T> + SubAssign<Right>,

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impl<T> Component for T
where T: Send + Sync + 'static,

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impl<T, C> ComponentsFrom<C> for T
where C: IntoComponents<T>,

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fn components_from(colors: C) -> T

Cast a collection of colors into a collection of color components.
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impl<T> Downcast for T
where T: AsAny + ?Sized,

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fn is<T>(&self) -> bool
where T: AsAny,

Returns true if the boxed type is the same as T. Read more
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fn downcast_ref<T>(&self) -> Option<&T>
where T: AsAny,

Forward to the method defined on the type Any.
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fn downcast_mut<T>(&mut self) -> Option<&mut T>
where T: AsAny,

Forward to the method defined on the type Any.
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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

Checks if this value is equivalent to the given key. Read more
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impl<E> Event for E
where E: Clone + Send + Sync + 'static,

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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> FromAngle<T> for T

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fn from_angle(angle: T) -> T

Performs a conversion from angle.
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impl<T, U> FromStimulus<U> for T
where U: IntoStimulus<T>,

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fn from_stimulus(other: U) -> T

Converts other into Self, while performing the appropriate scaling, rounding and clamping.
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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, U> IntoAngle<U> for T
where U: FromAngle<T>,

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fn into_angle(self) -> U

Performs a conversion into T.
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impl<WpParam, T, U> IntoCam16Unclamped<WpParam, T> for U
where T: Cam16FromUnclamped<WpParam, U>,

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type Scalar = <T as Cam16FromUnclamped<WpParam, U>>::Scalar

The number type that’s used in parameters when converting.
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fn into_cam16_unclamped( self, parameters: BakedParameters<WpParam, <U as IntoCam16Unclamped<WpParam, T>>::Scalar>, ) -> T

Converts self into C, using the provided parameters.
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impl<T, U> IntoColor<U> for T
where U: FromColor<T>,

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fn into_color(self) -> U

Convert into T with values clamped to the color defined bounds Read more
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impl<T, U> IntoColorUnclamped<U> for T
where U: FromColorUnclamped<T>,

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fn into_color_unclamped(self) -> U

Convert into T. The resulting color might be invalid in its color space Read more
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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> IntoStimulus<T> for T

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fn into_stimulus(self) -> T

Converts self into T, while performing the appropriate scaling, rounding and clamping.
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impl<T> NoUninit for T
where T: Pod,

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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> Read<Exclusive, BecauseExclusive> for T
where T: ?Sized,

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impl<R, P> ReadPrimitive<R> for P
where R: Read + ReadEndian<P>, P: Default,

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fn read_from_little_endian(read: &mut R) -> Result<Self, Error>

Read this value from the supplied reader. Same as ReadEndian::read_from_little_endian().
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fn read_from_big_endian(read: &mut R) -> Result<Self, Error>

Read this value from the supplied reader. Same as ReadEndian::read_from_big_endian().
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fn read_from_native_endian(read: &mut R) -> Result<Self, Error>

Read this value from the supplied reader. Same as ReadEndian::read_from_native_endian().
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impl<T> Resource for T
where T: AsAny + Send + Sync + 'static,

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,

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impl<T> SerializableAny for T
where T: 'static + Any + Clone + for<'a> Send + Sync,

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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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, C> TryComponentsInto<C> for T
where C: TryFromComponents<T>,

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type Error = <C as TryFromComponents<T>>::Error

The error for when try_into_colors fails to cast.
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fn try_components_into(self) -> Result<C, <T as TryComponentsInto<C>>::Error>

Try to cast this collection of color components into a collection of colors. 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, U> TryIntoColor<U> for T
where U: TryFromColor<T>,

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fn try_into_color(self) -> Result<U, OutOfBounds<U>>

Convert into T, returning ok if the color is inside of its defined range, otherwise an OutOfBounds error is returned which contains the unclamped color. Read more
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impl<C, U> UintsFrom<C> for U
where C: IntoUints<U>,

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fn uints_from(colors: C) -> U

Cast a collection of colors into a collection of unsigned integers.
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impl<C, U> UintsInto<C> for U
where C: FromUints<U>,

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fn uints_into(self) -> C

Cast this collection of unsigned integers into a collection of colors.
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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