Struct jumpy::core::physics::rapier::nalgebra::geometry::Scale

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#[repr(C)]
pub struct Scale<T, const D: usize> { pub vector: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>, }
Expand description

A scale which supports non-uniform scaling.

Fields§

§vector: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>

The scale coordinates, i.e., how much is multiplied to a point’s coordinates when it is scaled.

Implementations§

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impl<T, const D: usize> Scale<T, D>
where T: Scalar,

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pub fn try_inverse(&self) -> Option<Scale<T, D>>
where T: ClosedDiv + One + Zero,

Inverts self.

§Example
let t = Scale3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.try_inverse().unwrap(), Scale3::identity());
assert_eq!(t.try_inverse().unwrap() * t, Scale3::identity());

// Work in all dimensions.
let t = Scale2::new(1.0, 2.0);
assert_eq!(t * t.try_inverse().unwrap(), Scale2::identity());
assert_eq!(t.try_inverse().unwrap() * t, Scale2::identity());

// Returns None if any coordinate is 0.
let t = Scale2::new(0.0, 2.0);
assert_eq!(t.try_inverse(), None);
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pub unsafe fn inverse_unchecked(&self) -> Scale<T, D>
where T: ClosedDiv + One,

Inverts self.

§Example

unsafe {
    let t = Scale3::new(1.0, 2.0, 3.0);
    assert_eq!(t * t.inverse_unchecked(), Scale3::identity());
    assert_eq!(t.inverse_unchecked() * t, Scale3::identity());

    // Work in all dimensions.
    let t = Scale2::new(1.0, 2.0);
    assert_eq!(t * t.inverse_unchecked(), Scale2::identity());
    assert_eq!(t.inverse_unchecked() * t, Scale2::identity());
}
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pub fn pseudo_inverse(&self) -> Scale<T, D>
where T: ClosedDiv + One + Zero,

Inverts self.

§Example
let t = Scale3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.pseudo_inverse(), Scale3::identity());
assert_eq!(t.pseudo_inverse() * t, Scale3::identity());

// Work in all dimensions.
let t = Scale2::new(1.0, 2.0);
assert_eq!(t * t.pseudo_inverse(), Scale2::identity());
assert_eq!(t.pseudo_inverse() * t, Scale2::identity());

// Inverts only non-zero coordinates.
let t = Scale2::new(0.0, 2.0);
assert_eq!(t * t.pseudo_inverse(), Scale2::new(0.0, 1.0));
assert_eq!(t.pseudo_inverse() * t, Scale2::new(0.0, 1.0));
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pub fn to_homogeneous( &self, ) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>

Converts this Scale into its equivalent homogeneous transformation matrix.

§Example
let t = Scale3::new(10.0, 20.0, 30.0);
let expected = Matrix4::new(10.0, 0.0, 0.0, 0.0,
                            0.0, 20.0, 0.0, 0.0,
                            0.0, 0.0, 30.0, 0.0,
                            0.0, 0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);

let t = Scale2::new(10.0, 20.0);
let expected = Matrix3::new(10.0, 0.0, 0.0,
                            0.0, 20.0, 0.0,
                            0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);
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pub fn try_inverse_mut(&mut self) -> bool
where T: ClosedDiv + One + Zero,

Inverts self in-place.

§Example
let t = Scale3::new(1.0, 2.0, 3.0);
let mut inv_t = Scale3::new(1.0, 2.0, 3.0);
assert!(inv_t.try_inverse_mut());
assert_eq!(t * inv_t, Scale3::identity());
assert_eq!(inv_t * t, Scale3::identity());

// Work in all dimensions.
let t = Scale2::new(1.0, 2.0);
let mut inv_t = Scale2::new(1.0, 2.0);
assert!(inv_t.try_inverse_mut());
assert_eq!(t * inv_t, Scale2::identity());
assert_eq!(inv_t * t, Scale2::identity());

// Does not perform any operation if a coordinate is 0.
let mut t = Scale2::new(0.0, 2.0);
assert!(!t.try_inverse_mut());
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impl<T, const D: usize> Scale<T, D>
where T: Scalar + ClosedMul,

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pub fn transform_point(&self, pt: &OPoint<T, Const<D>>) -> OPoint<T, Const<D>>

Translate the given point.

This is the same as the multiplication self * pt.

§Example
let t = Scale3::new(1.0, 2.0, 3.0);
let transformed_point = t.transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(4.0, 10.0, 18.0));
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impl<T, const D: usize> Scale<T, D>
where T: Scalar + ClosedDiv + ClosedMul + One + Zero,

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pub fn try_inverse_transform_point( &self, pt: &OPoint<T, Const<D>>, ) -> Option<OPoint<T, Const<D>>>

Translate the given point by the inverse of this Scale.

§Example
let t = Scale3::new(1.0, 2.0, 3.0);
let transformed_point = t.try_inverse_transform_point(&Point3::new(4.0, 6.0, 6.0)).unwrap();
assert_eq!(transformed_point, Point3::new(4.0, 3.0, 2.0));

// Returns None if the inverse doesn't exist.
let t = Scale3::new(1.0, 0.0, 3.0);
let transformed_point = t.try_inverse_transform_point(&Point3::new(4.0, 6.0, 6.0));
assert_eq!(transformed_point, None);
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impl<T, const D: usize> Scale<T, D>
where T: Scalar,

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pub fn identity() -> Scale<T, D>
where T: One,

Creates a new identity scale.

§Example
let t = Scale2::identity();
let p = Point2::new(1.0, 2.0);
assert_eq!(t * p, p);

// Works in all dimensions.
let t = Scale3::identity();
let p = Point3::new(1.0, 2.0, 3.0);
assert_eq!(t * p, p);
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pub fn cast<To>(self) -> Scale<To, D>
where To: Scalar, Scale<To, D>: SupersetOf<Scale<T, D>>,

Cast the components of self to another type.

§Example
let tra = Scale2::new(1.0f64, 2.0);
let tra2 = tra.cast::<f32>();
assert_eq!(tra2, Scale2::new(1.0f32, 2.0));
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impl<T> Scale<T, 1>

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pub const fn new(x: T) -> Scale<T, 1>

Initializes this Scale from its components.

§Example
let t = Scale1::new(1.0);
assert!(t.vector.x == 1.0);
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impl<T> Scale<T, 2>

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pub const fn new(x: T, y: T) -> Scale<T, 2>

Initializes this Scale from its components.

§Example
let t = Scale2::new(1.0, 2.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0);
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impl<T> Scale<T, 3>

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pub const fn new(x: T, y: T, z: T) -> Scale<T, 3>

Initializes this Scale from its components.

§Example
let t = Scale3::new(1.0, 2.0, 3.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0);
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impl<T> Scale<T, 4>

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pub const fn new(x: T, y: T, z: T, w: T) -> Scale<T, 4>

Initializes this Scale from its components.

§Example
let t = Scale4::new(1.0, 2.0, 3.0, 4.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0);
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impl<T> Scale<T, 5>

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pub const fn new(x: T, y: T, z: T, w: T, a: T) -> Scale<T, 5>

Initializes this Scale from its components.

§Example
let t = Scale5::new(1.0, 2.0, 3.0, 4.0, 5.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0);
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impl<T> Scale<T, 6>

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pub const fn new(x: T, y: T, z: T, w: T, a: T, b: T) -> Scale<T, 6>

Initializes this Scale from its components.

§Example
let t = Scale6::new(1.0, 2.0, 3.0, 4.0, 5.0, 6.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0 && t.vector.b == 6.0);

Trait Implementations§

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impl<T, const D: usize> AbsDiffEq for Scale<T, D>
where T: Scalar + AbsDiffEq, <T as AbsDiffEq>::Epsilon: Clone,

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type Epsilon = <T as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.
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fn default_epsilon() -> <Scale<T, D> as AbsDiffEq>::Epsilon

The default tolerance to use when testing values that are close together. Read more
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fn abs_diff_eq( &self, other: &Scale<T, D>, epsilon: <Scale<T, D> as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.
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fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of [AbsDiffEq::abs_diff_eq].
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impl<T, const D: usize> Clone for Scale<T, D>
where T: Clone,

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fn clone(&self) -> Scale<T, D>

Returns a copy 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<T, const D: usize> Debug for Scale<T, D>
where T: Debug,

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

Formats the value using the given formatter. Read more
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impl<T> Deref for Scale<T, 1>
where T: Scalar,

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type Target = X<T>

The resulting type after dereferencing.
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fn deref(&self) -> &<Scale<T, 1> as Deref>::Target

Dereferences the value.
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impl<T> Deref for Scale<T, 2>
where T: Scalar,

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type Target = XY<T>

The resulting type after dereferencing.
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fn deref(&self) -> &<Scale<T, 2> as Deref>::Target

Dereferences the value.
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impl<T> Deref for Scale<T, 3>
where T: Scalar,

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type Target = XYZ<T>

The resulting type after dereferencing.
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fn deref(&self) -> &<Scale<T, 3> as Deref>::Target

Dereferences the value.
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impl<T> Deref for Scale<T, 4>
where T: Scalar,

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type Target = XYZW<T>

The resulting type after dereferencing.
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fn deref(&self) -> &<Scale<T, 4> as Deref>::Target

Dereferences the value.
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impl<T> Deref for Scale<T, 5>
where T: Scalar,

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type Target = XYZWA<T>

The resulting type after dereferencing.
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fn deref(&self) -> &<Scale<T, 5> as Deref>::Target

Dereferences the value.
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impl<T> Deref for Scale<T, 6>
where T: Scalar,

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type Target = XYZWAB<T>

The resulting type after dereferencing.
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fn deref(&self) -> &<Scale<T, 6> as Deref>::Target

Dereferences the value.
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impl<T> DerefMut for Scale<T, 1>
where T: Scalar,

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fn deref_mut(&mut self) -> &mut <Scale<T, 1> as Deref>::Target

Mutably dereferences the value.
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impl<T> DerefMut for Scale<T, 2>
where T: Scalar,

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fn deref_mut(&mut self) -> &mut <Scale<T, 2> as Deref>::Target

Mutably dereferences the value.
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impl<T> DerefMut for Scale<T, 3>
where T: Scalar,

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fn deref_mut(&mut self) -> &mut <Scale<T, 3> as Deref>::Target

Mutably dereferences the value.
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impl<T> DerefMut for Scale<T, 4>
where T: Scalar,

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fn deref_mut(&mut self) -> &mut <Scale<T, 4> as Deref>::Target

Mutably dereferences the value.
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impl<T> DerefMut for Scale<T, 5>
where T: Scalar,

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fn deref_mut(&mut self) -> &mut <Scale<T, 5> as Deref>::Target

Mutably dereferences the value.
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impl<T> DerefMut for Scale<T, 6>
where T: Scalar,

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fn deref_mut(&mut self) -> &mut <Scale<T, 6> as Deref>::Target

Mutably dereferences the value.
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impl<T, const D: usize> Display for Scale<T, D>
where T: Scalar + Display,

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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, const D: usize> From<[Scale<<T as SimdValue>::Element, D>; 16]> for Scale<T, D>
where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>, <T as SimdValue>::Element: Scalar,

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fn from(arr: [Scale<<T as SimdValue>::Element, D>; 16]) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<[Scale<<T as SimdValue>::Element, D>; 2]> for Scale<T, D>
where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>, <T as SimdValue>::Element: Scalar,

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fn from(arr: [Scale<<T as SimdValue>::Element, D>; 2]) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<[Scale<<T as SimdValue>::Element, D>; 4]> for Scale<T, D>
where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>, <T as SimdValue>::Element: Scalar,

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fn from(arr: [Scale<<T as SimdValue>::Element, D>; 4]) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<[Scale<<T as SimdValue>::Element, D>; 8]> for Scale<T, D>
where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>, <T as SimdValue>::Element: Scalar,

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fn from(arr: [Scale<<T as SimdValue>::Element, D>; 8]) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<[T; D]> for Scale<T, D>
where T: Scalar,

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fn from(coords: [T; D]) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<Matrix<T, Const<D>, Const<1>, <DefaultAllocator as Allocator<T, Const<D>>>::Buffer>> for Scale<T, D>
where T: Scalar,

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fn from( vector: Matrix<T, Const<D>, Const<1>, <DefaultAllocator as Allocator<T, Const<D>>>::Buffer>, ) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<OPoint<T, Const<D>>> for Scale<T, D>
where T: Scalar,

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fn from(pt: OPoint<T, Const<D>>) -> Scale<T, D>

Converts to this type from the input type.
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impl<T, const D: usize> From<Scale<T, D>> for [T; D]
where T: Scalar,

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fn from(t: Scale<T, D>) -> [T; D]

Converts to this type from the input type.
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impl<T, const D: usize> From<Scale<T, D>> for Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
where T: Scalar + Zero + One, Const<D>: DimNameAdd<Const<1>>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T, Const<D>>,

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fn from( t: Scale<T, D>, ) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>

Converts to this type from the input type.
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impl<T, const D: usize> Hash for Scale<T, D>

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fn hash<H>(&self, state: &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<'a, 'b, T, const D: usize> Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>

The resulting type after applying the * operator.
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fn mul( self, right: &'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>, ) -> <&'a Scale<T, D> as Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>>::Output

Performs the * operation. Read more
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impl<'b, T, const D: usize> Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>

The resulting type after applying the * operator.
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fn mul( self, right: &'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>, ) -> <Scale<T, D> as Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>>::Output

Performs the * operation. Read more
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impl<'a, 'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = OPoint<T, Const<D>>

The resulting type after applying the * operator.
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fn mul( self, right: &'b OPoint<T, Const<D>>, ) -> <&'a Scale<T, D> as Mul<&'b OPoint<T, Const<D>>>>::Output

Performs the * operation. Read more
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impl<'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = OPoint<T, Const<D>>

The resulting type after applying the * operator.
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fn mul( self, right: &'b OPoint<T, Const<D>>, ) -> <Scale<T, D> as Mul<&'b OPoint<T, Const<D>>>>::Output

Performs the * operation. Read more
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impl<'a, 'b, T, const D: usize> Mul<&'b Scale<T, D>> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Scale<T, D>

The resulting type after applying the * operator.
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fn mul( self, right: &'b Scale<T, D>, ) -> <&'a Scale<T, D> as Mul<&'b Scale<T, D>>>::Output

Performs the * operation. Read more
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impl<'b, T, const D: usize> Mul<&'b Scale<T, D>> for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Scale<T, D>

The resulting type after applying the * operator.
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fn mul( self, right: &'b Scale<T, D>, ) -> <Scale<T, D> as Mul<&'b Scale<T, D>>>::Output

Performs the * operation. Read more
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impl<'a, T, const D: usize> Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>

The resulting type after applying the * operator.
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fn mul( self, right: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>, ) -> <&'a Scale<T, D> as Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>>::Output

Performs the * operation. Read more
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impl<T, const D: usize> Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>

The resulting type after applying the * operator.
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fn mul( self, right: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>, ) -> <Scale<T, D> as Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>>::Output

Performs the * operation. Read more
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impl<'a, T, const D: usize> Mul<OPoint<T, Const<D>>> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = OPoint<T, Const<D>>

The resulting type after applying the * operator.
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fn mul( self, right: OPoint<T, Const<D>>, ) -> <&'a Scale<T, D> as Mul<OPoint<T, Const<D>>>>::Output

Performs the * operation. Read more
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impl<T, const D: usize> Mul<OPoint<T, Const<D>>> for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = OPoint<T, Const<D>>

The resulting type after applying the * operator.
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fn mul( self, right: OPoint<T, Const<D>>, ) -> <Scale<T, D> as Mul<OPoint<T, Const<D>>>>::Output

Performs the * operation. Read more
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impl<'a, T, const D: usize> Mul<Scale<T, D>> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Scale<T, D>

The resulting type after applying the * operator.
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fn mul( self, right: Scale<T, D>, ) -> <&'a Scale<T, D> as Mul<Scale<T, D>>>::Output

Performs the * operation. Read more
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impl<'a, T, const D: usize> Mul<T> for &'a Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Scale<T, D>

The resulting type after applying the * operator.
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fn mul(self, right: T) -> <&'a Scale<T, D> as Mul<T>>::Output

Performs the * operation. Read more
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impl<T, const D: usize> Mul<T> for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Scale<T, D>

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

Performs the * operation. Read more
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impl<T, const D: usize> Mul for Scale<T, D>
where T: Scalar + ClosedMul, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,

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type Output = Scale<T, D>

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

Performs the * operation. Read more
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impl<'b, T, const D: usize> MulAssign<&'b Scale<T, D>> for Scale<T, D>
where T: Scalar + ClosedMul,

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fn mul_assign(&mut self, right: &'b Scale<T, D>)

Performs the *= operation. Read more
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impl<T, const D: usize> MulAssign<T> for Scale<T, D>
where T: Scalar + ClosedMul,

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fn mul_assign(&mut self, right: T)

Performs the *= operation. Read more
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impl<T, const D: usize> MulAssign for Scale<T, D>
where T: Scalar + ClosedMul,

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fn mul_assign(&mut self, right: Scale<T, D>)

Performs the *= operation. Read more
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impl<T, const D: usize> One for Scale<T, D>
where T: Scalar + One + ClosedMul,

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fn one() -> Scale<T, D>

Returns the multiplicative identity element of Self, 1. Read more
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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fn is_one(&self) -> bool
where Self: PartialEq,

Returns true if self is equal to the multiplicative identity. Read more
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impl<T, const D: usize> PartialEq for Scale<T, D>
where T: Scalar + PartialEq,

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fn eq(&self, right: &Scale<T, D>) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T, const D: usize> RelativeEq for Scale<T, D>
where T: Scalar + RelativeEq, <T as AbsDiffEq>::Epsilon: Clone,

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fn default_max_relative() -> <Scale<T, D> as AbsDiffEq>::Epsilon

The default relative tolerance for testing values that are far-apart. Read more
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fn relative_eq( &self, other: &Scale<T, D>, epsilon: <Scale<T, D> as AbsDiffEq>::Epsilon, max_relative: <Scale<T, D> as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.
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fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of [RelativeEq::relative_eq].
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impl<T, const D: usize> SimdValue for Scale<T, D>
where T: Scalar + SimdValue, <T as SimdValue>::Element: Scalar,

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type Element = Scale<<T as SimdValue>::Element, D>

The type of the elements of each lane of this SIMD value.
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type SimdBool = <T as SimdValue>::SimdBool

Type of the result of comparing two SIMD values like self.
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fn lanes() -> usize

The number of lanes of this SIMD value.
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fn splat(val: <Scale<T, D> as SimdValue>::Element) -> Scale<T, D>

Initializes an SIMD value with each lanes set to val.
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fn extract(&self, i: usize) -> <Scale<T, D> as SimdValue>::Element

Extracts the i-th lane of self. Read more
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unsafe fn extract_unchecked( &self, i: usize, ) -> <Scale<T, D> as SimdValue>::Element

Extracts the i-th lane of self without bound-checking.
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fn replace(&mut self, i: usize, val: <Scale<T, D> as SimdValue>::Element)

Replaces the i-th lane of self by val. Read more
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unsafe fn replace_unchecked( &mut self, i: usize, val: <Scale<T, D> as SimdValue>::Element, )

Replaces the i-th lane of self by val without bound-checking.
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fn select( self, cond: <Scale<T, D> as SimdValue>::SimdBool, other: Scale<T, D>, ) -> Scale<T, D>

Merges self and other depending on the lanes of cond. Read more
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fn map_lanes(self, f: impl Fn(Self::Element) -> Self::Element) -> Self
where Self: Clone,

Applies a function to each lane of self. Read more
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fn zip_map_lanes( self, b: Self, f: impl Fn(Self::Element, Self::Element) -> Self::Element, ) -> Self
where Self: Clone,

Applies a function to each lane of self paired with the corresponding lane of b. Read more
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impl<T1, T2, const D: usize> SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> for Scale<T1, D>
where T1: RealField, T2: RealField + SupersetOf<T1>, Const<D>: DimNameAdd<Const<1>>, DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,

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fn to_superset( &self, ) -> Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>

The inclusion map: converts self to the equivalent element of its superset.
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fn is_in_subset( m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>, ) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).
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fn from_superset_unchecked( m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>, ) -> Scale<T1, D>

Use with care! Same as self.to_superset but without any property checks. Always succeeds.
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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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impl<T1, T2, const D: usize> SubsetOf<Scale<T2, D>> for Scale<T1, D>
where T1: Scalar, T2: Scalar + SupersetOf<T1>,

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fn to_superset(&self) -> Scale<T2, D>

The inclusion map: converts self to the equivalent element of its superset.
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fn is_in_subset(rot: &Scale<T2, D>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).
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fn from_superset_unchecked(rot: &Scale<T2, D>) -> Scale<T1, D>

Use with care! Same as self.to_superset but without any property checks. Always succeeds.
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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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impl<T1, T2, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Scale<T1, D>
where T1: RealField, T2: RealField + SupersetOf<T1>, C: SuperTCategoryOf<TAffine>, Const<D>: DimNameAdd<Const<1>>, DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,

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fn to_superset(&self) -> Transform<T2, C, D>

The inclusion map: converts self to the equivalent element of its superset.
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fn is_in_subset(t: &Transform<T2, C, D>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).
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fn from_superset_unchecked(t: &Transform<T2, C, D>) -> Scale<T1, D>

Use with care! Same as self.to_superset but without any property checks. Always succeeds.
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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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impl<T, const D: usize> UlpsEq for Scale<T, D>
where T: Scalar + UlpsEq, <T as AbsDiffEq>::Epsilon: Clone,

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fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart. Read more
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fn ulps_eq( &self, other: &Scale<T, D>, epsilon: <Scale<T, D> as AbsDiffEq>::Epsilon, max_ulps: u32, ) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.
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fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of [UlpsEq::ulps_eq].
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impl<T, const D: usize> Copy for Scale<T, D>
where T: Copy,

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impl<T, const D: usize> Eq for Scale<T, D>
where T: Scalar + Eq,

Auto Trait Implementations§

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impl<T, const D: usize> Freeze for Scale<T, D>
where T: Freeze,

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impl<T, const D: usize> RefUnwindSafe for Scale<T, D>
where T: RefUnwindSafe,

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impl<T, const D: usize> Send for Scale<T, D>
where T: Send,

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impl<T, const D: usize> Sync for Scale<T, D>
where T: Sync,

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impl<T, const D: usize> Unpin for Scale<T, D>
where T: Unpin,

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impl<T, const D: usize> UnwindSafe for Scale<T, D>
where T: UnwindSafe,

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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> AnyEq for T
where T: Any + PartialEq,

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fn equals(&self, other: &(dyn Any + 'static)) -> bool

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

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impl<T, U> AsBindGroupShaderType<U> for T
where U: ShaderType, &'a T: for<'a> Into<U>,

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fn as_bind_group_shader_type(&self, _images: &RenderAssets<Image>) -> U

Return the T [ShaderType] for self. When used in [AsBindGroup] derives, it is safe to assume that all images in self exist.
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impl<'a, T, E> AsTaggedExplicit<'a, E> for T
where T: 'a,

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fn explicit(self, class: Class, tag: u32) -> TaggedParser<'a, Explicit, Self, E>

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impl<'a, T, E> AsTaggedImplicit<'a, E> for T
where T: 'a,

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fn implicit( self, class: Class, constructed: bool, tag: u32, ) -> TaggedParser<'a, Implicit, Self, E>

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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> CloneToUninit for T
where T: Copy,

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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<T> CloneToUninit for T
where T: Clone,

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default 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<T> Conv for T

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where Self: Into<T>,

Converts self into T using Into<T>. Read more
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impl<T> Downcast<T> for T

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fn downcast(&self) -> &T

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impl<T> Downcast for T
where T: Any,

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fn into_any(self: Box<T>) -> Box<dyn Any>

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
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fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
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fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
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Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
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where T: Any + Send + Sync,

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Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.
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where T: Clone,

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impl<T> DynEq for T
where T: Any + Eq,

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

Casts the type to dyn Any.
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fn dyn_eq(&self, other: &(dyn DynEq + 'static)) -> bool

This method tests for self and other values to be equal. Read more
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impl<T> DynHash for T
where T: DynEq + Hash,

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fn as_dyn_eq(&self) -> &(dyn DynEq + 'static)

Casts the type to dyn Any.
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fn dyn_hash(&self, state: &mut dyn Hasher)

Feeds this value into the given Hasher.
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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<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<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<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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

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where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.
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where Self: Display,

Causes self to use its Display implementation when Debug-formatted.
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where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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fn fmt_upper_hex(self) -> FmtUpperHex<Self>
where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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fn fmt_list(self) -> FmtList<Self>
where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
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impl<T> From<T> for T

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Returns the argument unchanged.

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impl<S> FromSample<S> for S

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fn from_sample_(s: S) -> S

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

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Calls U::from(self).

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

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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<F, T> IntoSample<T> for F
where T: FromSample<F>,

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fn into_sample(self) -> T

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impl<T> One for T
where T: One,

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fn one() -> T

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impl<T> Pipe for T
where T: ?Sized,

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fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
where Self: Sized,

Pipes by value. This is generally the method you want to use. Read more
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fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R
where R: 'a,

Borrows self and passes that borrow into the pipe function. Read more
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where R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more
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fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R
where Self: Borrow<B>, B: 'a + ?Sized, R: 'a,

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where Self: BorrowMut<B>, B: 'a + ?Sized, R: 'a,

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where Self: AsRef<U>, U: 'a + ?Sized, R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.
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where Self: AsMut<U>, U: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function.
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where Self: Deref<Target = T>, T: 'a + ?Sized, R: 'a,

Borrows self, then passes self.deref() into the pipe function.
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where Self: DerefMut<Target = T> + Deref, T: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function.
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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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Drops the object pointed to by the given pointer. Read more
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where T: Clone,

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unsafe fn raw_drop(ptr: *mut c_void)

Write the default value of the type to the pointer. Read more
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fn raw_drop_cb() -> Unsafe<&'static (dyn Fn(*mut c_void) + Send + Sync)>

Get a callback suitable for [SchemaData].
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where T: Eq,

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Get the hash of the type. Read more
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Get a callback suitable for [SchemaData].
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where T: Hash,

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unsafe fn raw_hash(ptr: *const c_void) -> u64

Get the hash of the type. Read more
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fn raw_hash_cb() -> Unsafe<&'static (dyn Fn(*const c_void) -> u64 + Send + Sync)>

Get a callback suitable for [SchemaData].
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Should always be Self
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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> Tap for T

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fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more
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Mutable access to a value. Read more
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Calls .tap() only in debug builds, and is erased in release builds.
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Calls .tap_mut() only in debug builds, and is erased in release builds.
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Calls .tap_borrow() only in debug builds, and is erased in release builds.
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Calls .tap_ref() only in debug builds, and is erased in release builds.
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fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self
where Self: AsMut<R>, R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds.
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fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self
where Self: Deref<Target = T>, T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds.
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fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self
where Self: DerefMut<Target = T> + Deref, T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds.
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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> ToSample<U> for T
where U: FromSample<T>,

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fn to_sample_(self) -> U

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impl<T> ToSmolStr for T
where T: Display + ?Sized,

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fn to_smolstr(&self) -> SmolStr

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impl<T> ToString for T
where T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T> TryConv for T

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fn try_conv<T>(self) -> Result<T, Self::Error>
where Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. 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> TypeData for T
where T: 'static + Send + Sync + Clone,

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fn clone_type_data(&self) -> Box<dyn TypeData>

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impl<T> Upcast<T> for T

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fn upcast(&self) -> Option<&T>

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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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

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impl<S, T> Duplex<S> for T
where T: FromSample<S> + ToSample<S>,

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impl<T> Formattable for T
where T: Deref, <T as Deref>::Target: Formattable,

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impl<T> Parsable for T
where T: Deref, <T as Deref>::Target: Parsable,

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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,