Struct DualQuaternion Copy item path

impl<T> DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

pub fn normalize(&self) -> DualQuaternion<T>

Normalizes this quaternion.

§Example

let real = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0);
let dq = DualQuaternion::from_real_and_dual(real, dual);

let dq_normalized = dq.normalize();

assert_relative_eq!(dq_normalized.real.norm(), 1.0);

pub fn normalize_mut(&mut self) -> T

Normalizes this quaternion.

§Example

let real = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0);
let mut dq = DualQuaternion::from_real_and_dual(real, dual);

dq.normalize_mut();

assert_relative_eq!(dq.real.norm(), 1.0);

pub fn conjugate(&self) -> DualQuaternion<T>

The conjugate of this dual quaternion, containing the conjugate of the real and imaginary parts..

§Example

let real = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0);
let dq = DualQuaternion::from_real_and_dual(real, dual);

let conj = dq.conjugate();
assert!(conj.real.i == -2.0 && conj.real.j == -3.0 && conj.real.k == -4.0);
assert!(conj.real.w == 1.0);
assert!(conj.dual.i == -6.0 && conj.dual.j == -7.0 && conj.dual.k == -8.0);
assert!(conj.dual.w == 5.0);

pub fn conjugate_mut(&mut self)

Replaces this quaternion by its conjugate.

§Example

let real = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0);
let mut dq = DualQuaternion::from_real_and_dual(real, dual);

dq.conjugate_mut();
assert!(dq.real.i == -2.0 && dq.real.j == -3.0 && dq.real.k == -4.0);
assert!(dq.real.w == 1.0);
assert!(dq.dual.i == -6.0 && dq.dual.j == -7.0 && dq.dual.k == -8.0);
assert!(dq.dual.w == 5.0);

pub fn try_inverse(&self) -> Option<DualQuaternion<T>>
where T: RealField,

Inverts this dual quaternion if it is not zero.

§Example

let real = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0);
let dq = DualQuaternion::from_real_and_dual(real, dual);
let inverse = dq.try_inverse();

assert!(inverse.is_some());
assert_relative_eq!(inverse.unwrap() * dq, DualQuaternion::identity());

//Non-invertible case
let zero = Quaternion::new(0.0, 0.0, 0.0, 0.0);
let dq = DualQuaternion::from_real_and_dual(zero, zero);
let inverse = dq.try_inverse();

assert!(inverse.is_none());

pub fn try_inverse_mut(&mut self) -> bool
where T: RealField,

Inverts this dual quaternion in-place if it is not zero.

§Example

let real = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0);
let dq = DualQuaternion::from_real_and_dual(real, dual);
let mut dq_inverse = dq;
dq_inverse.try_inverse_mut();

assert_relative_eq!(dq_inverse * dq, DualQuaternion::identity());

//Non-invertible case
let zero = Quaternion::new(0.0, 0.0, 0.0, 0.0);
let mut dq = DualQuaternion::from_real_and_dual(zero, zero);
assert!(!dq.try_inverse_mut());

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

Linear interpolation between two dual quaternions.

Computes self * (1 - t) + other * t.

§Example

let dq1 = DualQuaternion::from_real_and_dual(
    Quaternion::new(1.0, 0.0, 0.0, 4.0),
    Quaternion::new(0.0, 2.0, 0.0, 0.0)
);
let dq2 = DualQuaternion::from_real_and_dual(
    Quaternion::new(2.0, 0.0, 1.0, 0.0),
    Quaternion::new(0.0, 2.0, 0.0, 0.0)
);
assert_eq!(dq1.lerp(&dq2, 0.25), DualQuaternion::from_real_and_dual(
    Quaternion::new(1.25, 0.0, 0.25, 3.0),
    Quaternion::new(0.0, 2.0, 0.0, 0.0)
));

impl<T> DualQuaternion<T>
where T: Scalar,

pub fn from_real_and_dual( real: Quaternion<T>, dual: Quaternion<T>, ) -> DualQuaternion<T>

Creates a dual quaternion from its rotation and translation components.

§Example

let rot = Quaternion::new(1.0, 2.0, 3.0, 4.0);
let trans = Quaternion::new(5.0, 6.0, 7.0, 8.0);

let dq = DualQuaternion::from_real_and_dual(rot, trans);
assert_eq!(dq.real.w, 1.0);

pub fn identity() -> DualQuaternion<T>
where T: SimdRealField,

The dual quaternion multiplicative identity.

§Example


let dq1 = DualQuaternion::identity();
let dq2 = DualQuaternion::from_real_and_dual(
    Quaternion::new(1.,2.,3.,4.),
    Quaternion::new(5.,6.,7.,8.)
);

assert_eq!(dq1 * dq2, dq2);
assert_eq!(dq2 * dq1, dq2);

pub fn cast<To>(self) -> DualQuaternion<To>
where To: Scalar, DualQuaternion<To>: SupersetOf<DualQuaternion<T>>,

Cast the components of self to another type.

§Example

let q = DualQuaternion::from_real(Quaternion::new(1.0f64, 2.0, 3.0, 4.0));
let q2 = q.cast::<f32>();
assert_eq!(q2, DualQuaternion::from_real(Quaternion::new(1.0f32, 2.0, 3.0, 4.0)));

impl<T> DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

pub fn from_real(real: Quaternion<T>) -> DualQuaternion<T>

Creates a dual quaternion from only its real part, with no translation component.

§Example

let rot = Quaternion::new(1.0, 2.0, 3.0, 4.0);

let dq = DualQuaternion::from_real(rot);
assert_eq!(dq.real.w, 1.0);
assert_eq!(dq.dual.w, 0.0);

Trait Implementations§

impl<T> AbsDiffEq for DualQuaternion<T>
where T: RealField<Epsilon = T> + AbsDiffEq,

type Epsilon = T

Used for specifying relative comparisons.

fn default_epsilon() -> <DualQuaternion<T> as AbsDiffEq>::Epsilon

The default tolerance to use when testing values that are close together. Read more

fn abs_diff_eq( &self, other: &DualQuaternion<T>, epsilon: <DualQuaternion<T> as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl<'a, 'b, T> Add<&'b DualQuaternion<T>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the + operator.

fn add( self, rhs: &'b DualQuaternion<T>, ) -> <&'a DualQuaternion<T> as Add<&'b DualQuaternion<T>>>::Output

Performs the + operation. Read more

impl<'b, T> Add<&'b DualQuaternion<T>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the + operator.

fn add( self, rhs: &'b DualQuaternion<T>, ) -> <DualQuaternion<T> as Add<&'b DualQuaternion<T>>>::Output

Performs the + operation. Read more

impl<'a, T> Add<DualQuaternion<T>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the + operator.

fn add( self, rhs: DualQuaternion<T>, ) -> <&'a DualQuaternion<T> as Add<DualQuaternion<T>>>::Output

Performs the + operation. Read more

impl<T> Add for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: DualQuaternion<T>) -> <DualQuaternion<T> as Add>::Output

Performs the + operation. Read more

impl<'b, T> AddAssign<&'b DualQuaternion<T>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn add_assign(&mut self, rhs: &'b DualQuaternion<T>)

Performs the += operation. Read more

impl<T> AddAssign for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn add_assign(&mut self, rhs: DualQuaternion<T>)

Performs the += operation. Read more

impl<T> AsMut<[T; 8]> for DualQuaternion<T>
where T: SimdRealField,

fn as_mut(&mut self) -> &mut [T; 8]

Converts this type into a mutable reference of the (usually inferred) input type.

impl<T> AsRef<[T; 8]> for DualQuaternion<T>
where T: SimdRealField,

fn as_ref(&self) -> &[T; 8]

Converts this type into a shared reference of the (usually inferred) input type.

impl<T> Clone for DualQuaternion<T>
where T: Clone,

fn clone(&self) -> DualQuaternion<T>

Returns a duplicate of the value. Read more

1.0.0 · Source§

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

Performs copy-assignment from source. Read more

impl<T> Debug for DualQuaternion<T>
where T: Debug,

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

Formats the value using the given formatter. Read more

impl<T> Default for DualQuaternion<T>
where T: Scalar + Zero,

fn default() -> DualQuaternion<T>

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

impl<'a, T> Deserialize<'a> for DualQuaternion<T>
where T: SimdRealField + Deserialize<'a>,

fn deserialize<Des>( deserializer: Des, ) -> Result<DualQuaternion<T>, <Des as Deserializer<'a>>::Error>
where Des: Deserializer<'a>,

Deserialize this value from the given Serde deserializer. Read more

impl<'a, 'b, T> Div<&'b Unit<DualQuaternion<T>>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the / operator.

fn div( self, rhs: &'b Unit<DualQuaternion<T>>, ) -> <&'a DualQuaternion<T> as Div<&'b Unit<DualQuaternion<T>>>>::Output

Performs the / operation. Read more

impl<'b, T> Div<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the / operator.

fn div( self, rhs: &'b Unit<DualQuaternion<T>>, ) -> <DualQuaternion<T> as Div<&'b Unit<DualQuaternion<T>>>>::Output

Performs the / operation. Read more

impl<'a, T> Div<T> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the / operator.

fn div(self, n: T) -> <&'a DualQuaternion<T> as Div<T>>::Output

Performs the / operation. Read more

impl<T> Div<T> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the / operator.

fn div(self, n: T) -> <DualQuaternion<T> as Div<T>>::Output

Performs the / operation. Read more

impl<'a, T> Div<Unit<DualQuaternion<T>>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the / operator.

fn div( self, rhs: Unit<DualQuaternion<T>>, ) -> <&'a DualQuaternion<T> as Div<Unit<DualQuaternion<T>>>>::Output

Performs the / operation. Read more

impl<T> Div<Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the / operator.

fn div( self, rhs: Unit<DualQuaternion<T>>, ) -> <DualQuaternion<T> as Div<Unit<DualQuaternion<T>>>>::Output

Performs the / operation. Read more

impl<'b, T> DivAssign<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn div_assign(&mut self, rhs: &'b Unit<DualQuaternion<T>>)

Performs the /= operation. Read more

impl<T> DivAssign<T> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn div_assign(&mut self, n: T)

Performs the /= operation. Read more

impl<T> DivAssign<Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn div_assign(&mut self, rhs: Unit<DualQuaternion<T>>)

Performs the /= operation. Read more

impl<T> Index<usize> for DualQuaternion<T>
where T: SimdRealField,

type Output = T

The returned type after indexing.

fn index(&self, i: usize) -> &<DualQuaternion<T> as Index<usize>>::Output

Performs the indexing (container[index]) operation. Read more

impl<T> IndexMut<usize> for DualQuaternion<T>
where T: SimdRealField,

fn index_mut(&mut self, i: usize) -> &mut T

Performs the mutable indexing (container[index]) operation. Read more

impl<'a, 'b, T> Mul<&'b DualQuaternion<T>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b DualQuaternion<T>, ) -> <&'a DualQuaternion<T> as Mul<&'b DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl<'a, 'b, T> Mul<&'b DualQuaternion<T>> for &'a Unit<DualQuaternion<T>>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b DualQuaternion<T>, ) -> <&'a Unit<DualQuaternion<T>> as Mul<&'b DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl<'b, T> Mul<&'b DualQuaternion<T>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b DualQuaternion<T>, ) -> <DualQuaternion<T> as Mul<&'b DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl<'b, T> Mul<&'b DualQuaternion<T>> for Unit<DualQuaternion<T>>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b DualQuaternion<T>, ) -> <Unit<DualQuaternion<T>> as Mul<&'b DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl<'b> Mul<&'b DualQuaternion<f32>> for f32

type Output = DualQuaternion<f32>

The resulting type after applying the * operator.

fn mul( self, right: &'b DualQuaternion<f32>, ) -> <f32 as Mul<&'b DualQuaternion<f32>>>::Output

Performs the * operation. Read more

impl<'a, 'b, T> Mul<&'b Unit<DualQuaternion<T>>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b Unit<DualQuaternion<T>>, ) -> <&'a DualQuaternion<T> as Mul<&'b Unit<DualQuaternion<T>>>>::Output

Performs the * operation. Read more

impl<'b, T> Mul<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b Unit<DualQuaternion<T>>, ) -> <DualQuaternion<T> as Mul<&'b Unit<DualQuaternion<T>>>>::Output

Performs the * operation. Read more

impl<'a, T> Mul<DualQuaternion<T>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: DualQuaternion<T>, ) -> <&'a DualQuaternion<T> as Mul<DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl<'a, T> Mul<DualQuaternion<T>> for &'a Unit<DualQuaternion<T>>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: DualQuaternion<T>, ) -> <&'a Unit<DualQuaternion<T>> as Mul<DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl<T> Mul<DualQuaternion<T>> for Unit<DualQuaternion<T>>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: DualQuaternion<T>, ) -> <Unit<DualQuaternion<T>> as Mul<DualQuaternion<T>>>::Output

Performs the * operation. Read more

impl Mul<DualQuaternion<f32>> for f32

type Output = DualQuaternion<f32>

The resulting type after applying the * operator.

fn mul( self, right: DualQuaternion<f32>, ) -> <f32 as Mul<DualQuaternion<f32>>>::Output

Performs the * operation. Read more

impl<'a, T> Mul<T> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul(self, n: T) -> <&'a DualQuaternion<T> as Mul<T>>::Output

Performs the * operation. Read more

impl<T> Mul<T> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul(self, n: T) -> <DualQuaternion<T> as Mul<T>>::Output

Performs the * operation. Read more

impl<'a, T> Mul<Unit<DualQuaternion<T>>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: Unit<DualQuaternion<T>>, ) -> <&'a DualQuaternion<T> as Mul<Unit<DualQuaternion<T>>>>::Output

Performs the * operation. Read more

impl<T> Mul<Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul( self, rhs: Unit<DualQuaternion<T>>, ) -> <DualQuaternion<T> as Mul<Unit<DualQuaternion<T>>>>::Output

Performs the * operation. Read more

impl<T> Mul for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: DualQuaternion<T>) -> <DualQuaternion<T> as Mul>::Output

Performs the * operation. Read more

impl<'b, T> MulAssign<&'b DualQuaternion<T>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn mul_assign(&mut self, rhs: &'b DualQuaternion<T>)

Performs the *= operation. Read more

impl<'b, T> MulAssign<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn mul_assign(&mut self, rhs: &'b Unit<DualQuaternion<T>>)

Performs the *= operation. Read more

impl<T> MulAssign<T> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn mul_assign(&mut self, n: T)

Performs the *= operation. Read more

impl<T> MulAssign<Unit<DualQuaternion<T>>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn mul_assign(&mut self, rhs: Unit<DualQuaternion<T>>)

Performs the *= operation. Read more

impl<T> MulAssign for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn mul_assign(&mut self, rhs: DualQuaternion<T>)

Performs the *= operation. Read more

impl<'a, T> Neg for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the - operator.

fn neg(self) -> <&'a DualQuaternion<T> as Neg>::Output

Performs the unary - operation. Read more

impl<T> Neg for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the - operator.

fn neg(self) -> <DualQuaternion<T> as Neg>::Output

Performs the unary - operation. Read more

impl<T> Normed for DualQuaternion<T>
where T: SimdRealField,

type Norm = <T as SimdComplexField>::SimdRealField

The type of the norm.

fn norm(&self) -> <T as SimdComplexField>::SimdRealField

Computes the norm.

fn norm_squared(&self) -> <T as SimdComplexField>::SimdRealField

Computes the squared norm.

fn scale_mut(&mut self, n: <DualQuaternion<T> as Normed>::Norm)

Multiply self by n.

fn unscale_mut(&mut self, n: <DualQuaternion<T> as Normed>::Norm)

Divides self by n.

impl<T> One for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn one() -> DualQuaternion<T>

Returns the multiplicative identity element of Self, 1. Read more

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool
where Self: PartialEq,

Returns true if self is equal to the multiplicative identity. Read more

impl<T> PartialEq for DualQuaternion<T>
where T: Scalar,

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

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

1.0.0 · Source§

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<T> RelativeEq for DualQuaternion<T>
where T: RealField<Epsilon = T> + RelativeEq,

fn default_max_relative() -> <DualQuaternion<T> as AbsDiffEq>::Epsilon

The default relative tolerance for testing values that are far-apart. Read more

fn relative_eq( &self, other: &DualQuaternion<T>, epsilon: <DualQuaternion<T> as AbsDiffEq>::Epsilon, max_relative: <DualQuaternion<T> as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.

impl<T> Serialize for DualQuaternion<T>
where T: SimdRealField + Serialize,

fn serialize<S>( &self, serializer: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more

impl<'a, 'b, T> Sub<&'b DualQuaternion<T>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the - operator.

fn sub( self, rhs: &'b DualQuaternion<T>, ) -> <&'a DualQuaternion<T> as Sub<&'b DualQuaternion<T>>>::Output

Performs the - operation. Read more

impl<'b, T> Sub<&'b DualQuaternion<T>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the - operator.

fn sub( self, rhs: &'b DualQuaternion<T>, ) -> <DualQuaternion<T> as Sub<&'b DualQuaternion<T>>>::Output

Performs the - operation. Read more

impl<'a, T> Sub<DualQuaternion<T>> for &'a DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the - operator.

fn sub( self, rhs: DualQuaternion<T>, ) -> <&'a DualQuaternion<T> as Sub<DualQuaternion<T>>>::Output

Performs the - operation. Read more

impl<T> Sub for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: DualQuaternion<T>) -> <DualQuaternion<T> as Sub>::Output

Performs the - operation. Read more

impl<'b, T> SubAssign<&'b DualQuaternion<T>> for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn sub_assign(&mut self, rhs: &'b DualQuaternion<T>)

Performs the -= operation. Read more

impl<T> SubAssign for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn sub_assign(&mut self, rhs: DualQuaternion<T>)

Performs the -= operation. Read more

impl<T1, T2> SubsetOf<DualQuaternion<T2>> for DualQuaternion<T1>
where T1: SimdRealField, T2: SimdRealField + SupersetOf<T1>,

fn to_superset(&self) -> DualQuaternion<T2>

The inclusion map: converts self to the equivalent element of its superset.

fn is_in_subset(dq: &DualQuaternion<T2>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset_unchecked(dq: &DualQuaternion<T2>) -> DualQuaternion<T1>

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

impl<T> UlpsEq for DualQuaternion<T>
where T: RealField<Epsilon = T> + UlpsEq,

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart. Read more

fn ulps_eq( &self, other: &DualQuaternion<T>, epsilon: <DualQuaternion<T> 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.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

impl<T> Zero for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

fn zero() -> DualQuaternion<T>

Returns the additive identity element of Self, 0. Read more

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<T> Zeroable for DualQuaternion<T>
where T: Scalar + Zeroable, Quaternion<T>: Zeroable,

impl<T> Pod for DualQuaternion<T>
where T: Scalar + Pod, Quaternion<T>: Pod,

Auto Trait Implementations§

impl<T> Freeze for DualQuaternion<T>
where T: Freeze,

impl<T> RefUnwindSafe for DualQuaternion<T>
where T: RefUnwindSafe,

impl<T> Send for DualQuaternion<T>
where T: Send,

impl<T> Sync for DualQuaternion<T>
where T: Sync,

impl<T> Unpin for DualQuaternion<T>
where T: Unpin,

impl<T> UnwindSafe for DualQuaternion<T>
where T: UnwindSafe,

Blanket Implementations§

impl<T> Any for T
where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> AsyncTaskResult for T
where T: Any + Send + 'static,

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

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

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> CheckedBitPattern for T
where T: AnyBitPattern,

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.

fn is_valid_bit_pattern(_bits: &T) -> bool

If this function returns true, then it must be valid to reinterpret bits as &Self.

impl<T> CloneToUninit for T
where T: Clone,

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

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

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

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.

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

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

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

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

Converts self reference as a reference to Any. Could be used to downcast a trait object to a particular type.

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

Converts self reference as a reference to Any. Could be used to downcast a trait object to a particular type.

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

impl<T> DowncastSync for T
where T: Any + Send + Sync,

fn into_any_arc(self: Arc<T>) -> Arc<dyn Any + Send + Sync>

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

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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

Compare self to key and return true if they are equal.

impl<T> FieldValue for T
where T: 'static,

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

Casts self to a &dyn Any

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T> Instrument for T

fn instrument(self, span: Span) -> Instrumented<Self> ⓘ

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more

fn in_current_span(self) -> Instrumented<Self> ⓘ

Instruments this type with the current Span, returning an Instrumented wrapper. Read more

impl<T, U> Into for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

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

impl<T> IntoEither for T

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

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

impl<T> MessageData for T
where T: 'static + Debug + PartialEq + Any + Send + Clone,

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

Casts self as Any reference.

fn compare(&self, other: &(dyn MessageData + 'static)) -> bool

Compares this message data with some other.

fn clone_box(&self) -> Box<dyn MessageData>

Clones self as boxed value.

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

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

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().

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().

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().

impl<T> Same for T

type Output = T

Should always be Self

impl<T> ScriptMessagePayload for T
where T: 'static + Send + Debug,

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

Returns self as &dyn Any

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

Returns self as &dyn Any

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

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

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

impl<T> ToOwned for T
where T: Clone,

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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Uses borrowed data to replace owned data, usually by cloning. Read more

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where U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

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Performs the conversion.

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where U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

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Performs the conversion.

impl<V, T> VZip<V> for T
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fn vzip(self) -> V

impl<T> WithSubscriber for T

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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Attaches the current default Subscriber to this type, returning a WithDispatch wrapper. Read more

impl<T> AnyBitPattern for T
where T: Pod,

impl<T, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

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impl<T, Right> ClosedDiv<Right> for T
where T: Div<Right, Output = T> + DivAssign<Right>,

impl<T, Right> ClosedDivAssign<Right> for T
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impl<T> ResourceLoadError for T
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