Struct lnkit::prelude::Quaternion [−][src]
#[repr(C)]pub struct Quaternion<T> { pub coords: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>, }
A quaternion. See the type alias UnitQuaternion = Unit<Quaternion>
for a quaternion
that may be used as a rotation.
Fields
coords: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
This quaternion as a 4D vector of coordinates in the [ x, y, z, w ]
storage order.
Implementations
impl<T> Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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impl<T> Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn into_owned(self) -> Quaternion<T>
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This method is a no-op and will be removed in a future release.
Moves this unit quaternion into one that owns its data.
pub fn clone_owned(&self) -> Quaternion<T>
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This method is a no-op and will be removed in a future release.
Clones this unit quaternion into one that owns its data.
#[must_use = "Did you mean to use normalize_mut()?"]pub fn normalize(&self) -> Quaternion<T>
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Normalizes this quaternion.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); let q_normalized = q.normalize(); relative_eq!(q_normalized.norm(), 1.0);
pub fn imag(
&self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>
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&self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>
The imaginary part of this quaternion.
#[must_use = "Did you mean to use conjugate_mut()?"]pub fn conjugate(&self) -> Quaternion<T>
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The conjugate of this quaternion.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); let conj = q.conjugate(); assert!(conj.i == -2.0 && conj.j == -3.0 && conj.k == -4.0 && conj.w == 1.0);
pub fn lerp(&self, other: &Quaternion<T>, t: T) -> Quaternion<T>
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Linear interpolation between two quaternion.
Computes self * (1 - t) + other * t
.
Example
let q1 = Quaternion::new(1.0, 2.0, 3.0, 4.0); let q2 = Quaternion::new(10.0, 20.0, 30.0, 40.0); assert_eq!(q1.lerp(&q2, 0.1), Quaternion::new(1.9, 3.8, 5.7, 7.6));
pub fn vector(
&self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, SliceStorage<'_, T, Const<{_: usize}>, Const<1_usize>, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::RStride, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::CStride>>
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&self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, SliceStorage<'_, T, Const<{_: usize}>, Const<1_usize>, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::RStride, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::CStride>>
The vector part (i, j, k)
of this quaternion.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_eq!(q.vector()[0], 2.0); assert_eq!(q.vector()[1], 3.0); assert_eq!(q.vector()[2], 4.0);
pub fn scalar(&self) -> T
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The scalar part w
of this quaternion.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_eq!(q.scalar(), 1.0);
pub fn as_vector(
&self
) -> &Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
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&self
) -> &Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
Reinterprets this quaternion as a 4D vector.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); // Recall that the quaternion is stored internally as (i, j, k, w) // while the crate::new constructor takes the arguments as (w, i, j, k). assert_eq!(*q.as_vector(), Vector4::new(2.0, 3.0, 4.0, 1.0));
pub fn norm(&self) -> T
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The norm of this quaternion.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_relative_eq!(q.norm(), 5.47722557, epsilon = 1.0e-6);
pub fn magnitude(&self) -> T
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A synonym for the norm of this quaternion.
Aka the length.
This is the same as .norm()
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_relative_eq!(q.magnitude(), 5.47722557, epsilon = 1.0e-6);
pub fn norm_squared(&self) -> T
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The squared norm of this quaternion.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_eq!(q.magnitude_squared(), 30.0);
pub fn magnitude_squared(&self) -> T
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A synonym for the squared norm of this quaternion.
Aka the squared length.
This is the same as .norm_squared()
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_eq!(q.magnitude_squared(), 30.0);
pub fn dot(&self, rhs: &Quaternion<T>) -> T
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The dot product of two quaternions.
Example
let q1 = Quaternion::new(1.0, 2.0, 3.0, 4.0); let q2 = Quaternion::new(5.0, 6.0, 7.0, 8.0); assert_eq!(q1.dot(&q2), 70.0);
impl<T> Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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impl<T> Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]#[must_use = "Did you mean to use try_inverse_mut()?"]pub fn try_inverse(&self) -> Option<Quaternion<T>> where
T: RealField,
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T: RealField,
Inverts this quaternion if it is not zero.
This method also does not works with SIMD components (see simd_try_inverse
instead).
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); let inv_q = q.try_inverse(); assert!(inv_q.is_some()); assert_relative_eq!(inv_q.unwrap() * q, Quaternion::identity()); //Non-invertible case let q = Quaternion::new(0.0, 0.0, 0.0, 0.0); let inv_q = q.try_inverse(); assert!(inv_q.is_none());
#[must_use = "Did you mean to use try_inverse_mut()?"]pub fn simd_try_inverse(&self) -> SimdOption<Quaternion<T>>
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Attempt to inverse this quaternion.
This method also works with SIMD components.
pub fn inner(&self, other: &Quaternion<T>) -> Quaternion<T>
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Calculates the inner product (also known as the dot product). See “Foundations of Game Engine Development, Volume 1: Mathematics” by Lengyel Formula 4.89.
Example
let a = Quaternion::new(0.0, 2.0, 3.0, 4.0); let b = Quaternion::new(0.0, 5.0, 2.0, 1.0); let expected = Quaternion::new(-20.0, 0.0, 0.0, 0.0); let result = a.inner(&b); assert_relative_eq!(expected, result, epsilon = 1.0e-5);
pub fn outer(&self, other: &Quaternion<T>) -> Quaternion<T>
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Calculates the outer product (also known as the wedge product). See “Foundations of Game Engine Development, Volume 1: Mathematics” by Lengyel Formula 4.89.
Example
let a = Quaternion::new(0.0, 2.0, 3.0, 4.0); let b = Quaternion::new(0.0, 5.0, 2.0, 1.0); let expected = Quaternion::new(0.0, -5.0, 18.0, -11.0); let result = a.outer(&b); assert_relative_eq!(expected, result, epsilon = 1.0e-5);
pub fn project(&self, other: &Quaternion<T>) -> Option<Quaternion<T>> where
T: RealField,
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T: RealField,
Calculates the projection of self
onto other
(also known as the parallel).
See “Foundations of Game Engine Development, Volume 1: Mathematics” by Lengyel
Formula 4.94.
Example
let a = Quaternion::new(0.0, 2.0, 3.0, 4.0); let b = Quaternion::new(0.0, 5.0, 2.0, 1.0); let expected = Quaternion::new(0.0, 3.333333333333333, 1.3333333333333333, 0.6666666666666666); let result = a.project(&b).unwrap(); assert_relative_eq!(expected, result, epsilon = 1.0e-5);
pub fn reject(&self, other: &Quaternion<T>) -> Option<Quaternion<T>> where
T: RealField,
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T: RealField,
Calculates the rejection of self
from other
(also known as the perpendicular).
See “Foundations of Game Engine Development, Volume 1: Mathematics” by Lengyel
Formula 4.94.
Example
let a = Quaternion::new(0.0, 2.0, 3.0, 4.0); let b = Quaternion::new(0.0, 5.0, 2.0, 1.0); let expected = Quaternion::new(0.0, -1.3333333333333333, 1.6666666666666665, 3.3333333333333335); let result = a.reject(&b).unwrap(); assert_relative_eq!(expected, result, epsilon = 1.0e-5);
pub fn polar_decomposition(
&self
) -> (T, T, Option<Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>>>) where
T: RealField,
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&self
) -> (T, T, Option<Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>>>) where
T: RealField,
The polar decomposition of this quaternion.
Returns, from left to right: the quaternion norm, the half rotation angle, the rotation
axis. If the rotation angle is zero, the rotation axis is set to None
.
Example
let q = Quaternion::new(0.0, 5.0, 0.0, 0.0); let (norm, half_ang, axis) = q.polar_decomposition(); assert_eq!(norm, 5.0); assert_eq!(half_ang, f32::consts::FRAC_PI_2); assert_eq!(axis, Some(Vector3::x_axis()));
pub fn ln(&self) -> Quaternion<T>
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Compute the natural logarithm of a quaternion.
Example
let q = Quaternion::new(2.0, 5.0, 0.0, 0.0); assert_relative_eq!(q.ln(), Quaternion::new(1.683647, 1.190289, 0.0, 0.0), epsilon = 1.0e-6)
pub fn exp(&self) -> Quaternion<T>
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Compute the exponential of a quaternion.
Example
let q = Quaternion::new(1.683647, 1.190289, 0.0, 0.0); assert_relative_eq!(q.exp(), Quaternion::new(2.0, 5.0, 0.0, 0.0), epsilon = 1.0e-5)
pub fn exp_eps(&self, eps: T) -> Quaternion<T>
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Compute the exponential of a quaternion. Returns the identity if the vector part of this quaternion
has a norm smaller than eps
.
Example
let q = Quaternion::new(1.683647, 1.190289, 0.0, 0.0); assert_relative_eq!(q.exp_eps(1.0e-6), Quaternion::new(2.0, 5.0, 0.0, 0.0), epsilon = 1.0e-5); // Singular case. let q = Quaternion::new(0.0000001, 0.0, 0.0, 0.0); assert_eq!(q.exp_eps(1.0e-6), Quaternion::identity());
pub fn powf(&self, n: T) -> Quaternion<T>
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Raise the quaternion to a given floating power.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_relative_eq!(q.powf(1.5), Quaternion::new( -6.2576659, 4.1549037, 6.2323556, 8.3098075), epsilon = 1.0e-6);
pub fn as_vector_mut(
&mut self
) -> &mut Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
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&mut self
) -> &mut Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
Transforms this quaternion into its 4D vector form (Vector part, Scalar part).
Example
let mut q = Quaternion::identity(); *q.as_vector_mut() = Vector4::new(1.0, 2.0, 3.0, 4.0); assert!(q.i == 1.0 && q.j == 2.0 && q.k == 3.0 && q.w == 4.0);
pub fn vector_mut(
&mut self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, SliceStorageMut<'_, T, Const<{_: usize}>, Const<1_usize>, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::RStride, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::CStride>>
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&mut self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, SliceStorageMut<'_, T, Const<{_: usize}>, Const<1_usize>, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::RStride, <<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer as Storage<T, Const<{_: usize}>, Const<1_usize>>>::CStride>>
The mutable vector part (i, j, k)
of this quaternion.
Example
let mut q = Quaternion::identity(); { let mut v = q.vector_mut(); v[0] = 2.0; v[1] = 3.0; v[2] = 4.0; } assert!(q.i == 2.0 && q.j == 3.0 && q.k == 4.0 && q.w == 1.0);
pub fn conjugate_mut(&mut self)
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Replaces this quaternion by its conjugate.
Example
let mut q = Quaternion::new(1.0, 2.0, 3.0, 4.0); q.conjugate_mut(); assert!(q.i == -2.0 && q.j == -3.0 && q.k == -4.0 && q.w == 1.0);
pub fn try_inverse_mut(&mut self) -> <T as SimdValue>::SimdBool
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Inverts this quaternion in-place if it is not zero.
Example
let mut q = Quaternion::new(1.0f32, 2.0, 3.0, 4.0); assert!(q.try_inverse_mut()); assert_relative_eq!(q * Quaternion::new(1.0, 2.0, 3.0, 4.0), Quaternion::identity()); //Non-invertible case let mut q = Quaternion::new(0.0f32, 0.0, 0.0, 0.0); assert!(!q.try_inverse_mut());
pub fn normalize_mut(&mut self) -> T
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Normalizes this quaternion.
Example
let mut q = Quaternion::new(1.0, 2.0, 3.0, 4.0); q.normalize_mut(); assert_relative_eq!(q.norm(), 1.0);
pub fn squared(&self) -> Quaternion<T>
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Calculates square of a quaternion.
pub fn half(&self) -> Quaternion<T>
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Divides quaternion into two.
pub fn sqrt(&self) -> Quaternion<T>
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Calculates square root.
pub fn is_pure(&self) -> bool
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Check if the quaternion is pure.
A quaternion is pure if it has no real part (self.w == 0.0
).
pub fn pure(&self) -> Quaternion<T>
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Convert quaternion to pure quaternion.
pub fn left_div(&self, other: &Quaternion<T>) -> Option<Quaternion<T>> where
T: RealField,
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T: RealField,
Left quaternionic division.
Calculates B-1 * A where A = self, B = other.
pub fn right_div(&self, other: &Quaternion<T>) -> Option<Quaternion<T>> where
T: RealField,
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T: RealField,
Right quaternionic division.
Calculates A * B-1 where A = self, B = other.
Example
let a = Quaternion::new(0.0, 1.0, 2.0, 3.0); let b = Quaternion::new(0.0, 5.0, 2.0, 1.0); let result = a.right_div(&b).unwrap(); let expected = Quaternion::new(0.4, 0.13333333333333336, -0.4666666666666667, 0.26666666666666666); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn cos(&self) -> Quaternion<T>
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Calculates the quaternionic cosinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(58.93364616794395, -34.086183690465596, -51.1292755356984, -68.17236738093119); let result = input.cos(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn acos(&self) -> Quaternion<T>
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Calculates the quaternionic arccosinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let result = input.cos().acos(); assert_relative_eq!(input, result, epsilon = 1.0e-7);
pub fn sin(&self) -> Quaternion<T>
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Calculates the quaternionic sinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(91.78371578403467, 21.886486853029176, 32.82973027954377, 43.77297370605835); let result = input.sin(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn asin(&self) -> Quaternion<T>
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Calculates the quaternionic arcsinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let result = input.sin().asin(); assert_relative_eq!(input, result, epsilon = 1.0e-7);
pub fn tan(&self) -> Quaternion<T> where
T: RealField,
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T: RealField,
Calculates the quaternionic tangent.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(0.00003821631725009489, 0.3713971716439371, 0.5570957574659058, 0.7427943432878743); let result = input.tan(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn atan(&self) -> Quaternion<T> where
T: RealField,
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T: RealField,
Calculates the quaternionic arctangent.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let result = input.tan().atan(); assert_relative_eq!(input, result, epsilon = 1.0e-7);
pub fn sinh(&self) -> Quaternion<T>
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Calculates the hyperbolic quaternionic sinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(0.7323376060463428, -0.4482074499805421, -0.6723111749708133, -0.8964148999610843); let result = input.sinh(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn asinh(&self) -> Quaternion<T>
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Calculates the hyperbolic quaternionic arcsinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(2.385889902585242, 0.514052600662788, 0.7710789009941821, 1.028105201325576); let result = input.asinh(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn cosh(&self) -> Quaternion<T>
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Calculates the hyperbolic quaternionic cosinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(0.9615851176369566, -0.3413521745610167, -0.5120282618415251, -0.6827043491220334); let result = input.cosh(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn acosh(&self) -> Quaternion<T>
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Calculates the hyperbolic quaternionic arccosinus.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(2.4014472020074007, 0.5162761016176176, 0.7744141524264264, 1.0325522032352352); let result = input.acosh(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn tanh(&self) -> Quaternion<T> where
T: RealField,
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T: RealField,
Calculates the hyperbolic quaternionic tangent.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(1.0248695360556623, -0.10229568178876419, -0.1534435226831464, -0.20459136357752844); let result = input.tanh(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
pub fn atanh(&self) -> Quaternion<T>
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Calculates the hyperbolic quaternionic arctangent.
Example
let input = Quaternion::new(1.0, 2.0, 3.0, 4.0); let expected = Quaternion::new(0.03230293287000163, 0.5173453683196951, 0.7760180524795426, 1.0346907366393903); let result = input.atanh(); assert_relative_eq!(expected, result, epsilon = 1.0e-7);
impl<T> Quaternion<T>
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impl<T> Quaternion<T>
[src]pub const fn from_vector(
vector: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
) -> Quaternion<T>
[src]
vector: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
) -> Quaternion<T>
Creates a quaternion from a 4D vector. The quaternion scalar part corresponds to the w
vector component.
pub const fn new(w: T, i: T, j: T, k: T) -> Quaternion<T>
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Creates a new quaternion from its individual components. Note that the arguments order does not follow the storage order.
The storage order is [ i, j, k, w ]
while the arguments for this functions are in the
order (w, i, j, k)
.
Example
let q = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert!(q.i == 2.0 && q.j == 3.0 && q.k == 4.0 && q.w == 1.0); assert_eq!(*q.as_vector(), Vector4::new(2.0, 3.0, 4.0, 1.0));
pub fn cast<To>(self) -> Quaternion<To> where
T: Scalar,
To: Scalar + SupersetOf<T>,
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T: Scalar,
To: Scalar + SupersetOf<T>,
Cast the components of self
to another type.
Example
let q = Quaternion::new(1.0f64, 2.0, 3.0, 4.0); let q2 = q.cast::<f32>(); assert_eq!(q2, Quaternion::new(1.0f32, 2.0, 3.0, 4.0));
impl<T> Quaternion<T> where
T: SimdRealField,
[src]
impl<T> Quaternion<T> where
T: SimdRealField,
[src]pub fn from_imag(
vector: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>
) -> Quaternion<T>
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vector: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>
) -> Quaternion<T>
Constructs a pure quaternion.
pub fn from_parts<SB>(
scalar: T,
vector: Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>
) -> Quaternion<T> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
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scalar: T,
vector: Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>
) -> Quaternion<T> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Creates a new quaternion from its scalar and vector parts. Note that the arguments order does not follow the storage order.
The storage order is [ vector, scalar ].
Example
let w = 1.0; let ijk = Vector3::new(2.0, 3.0, 4.0); let q = Quaternion::from_parts(w, ijk); assert!(q.i == 2.0 && q.j == 3.0 && q.k == 4.0 && q.w == 1.0); assert_eq!(*q.as_vector(), Vector4::new(2.0, 3.0, 4.0, 1.0));
pub fn from_real(r: T) -> Quaternion<T>
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Constructs a real quaternion.
pub fn identity() -> Quaternion<T>
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The quaternion multiplicative identity.
Example
let q = Quaternion::identity(); let q2 = Quaternion::new(1.0, 2.0, 3.0, 4.0); assert_eq!(q * q2, q2); assert_eq!(q2 * q, q2);
impl<T> Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn from_polar_decomposition<SB>(
scale: T,
theta: T,
axis: Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>>
) -> Quaternion<T> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
[src]
scale: T,
theta: T,
axis: Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>>
) -> Quaternion<T> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Creates a new quaternion from its polar decomposition.
Note that axis
is assumed to be a unit vector.
Trait Implementations
impl<T> AbsDiffEq<Quaternion<T>> for Quaternion<T> where
T: RealField<Epsilon = T> + AbsDiffEq<T>,
[src]
impl<T> AbsDiffEq<Quaternion<T>> for Quaternion<T> where
T: RealField<Epsilon = T> + AbsDiffEq<T>,
[src]type Epsilon = T
Used for specifying relative comparisons.
pub fn default_epsilon() -> <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
[src]
pub fn abs_diff_eq(
&self,
other: &Quaternion<T>,
epsilon: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
) -> bool
[src]
&self,
other: &Quaternion<T>,
epsilon: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
) -> bool
pub fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
impl<'a, 'b, T> Add<&'b Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, 'b, T> Add<&'b Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: &'b Quaternion<T>
) -> <&'a Quaternion<T> as Add<&'b Quaternion<T>>>::Output
[src]
self,
rhs: &'b Quaternion<T>
) -> <&'a Quaternion<T> as Add<&'b Quaternion<T>>>::Output
impl<'b, T> Add<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'b, T> Add<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: &'b Quaternion<T>
) -> <Quaternion<T> as Add<&'b Quaternion<T>>>::Output
[src]
self,
rhs: &'b Quaternion<T>
) -> <Quaternion<T> as Add<&'b Quaternion<T>>>::Output
impl<'a, T> Add<Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, T> Add<Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: Quaternion<T>
) -> <&'a Quaternion<T> as Add<Quaternion<T>>>::Output
[src]
self,
rhs: Quaternion<T>
) -> <&'a Quaternion<T> as Add<Quaternion<T>>>::Output
impl<T> Add<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Add<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: Quaternion<T>
) -> <Quaternion<T> as Add<Quaternion<T>>>::Output
[src]
self,
rhs: Quaternion<T>
) -> <Quaternion<T> as Add<Quaternion<T>>>::Output
impl<'b, T> AddAssign<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'b, T> AddAssign<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn add_assign(&mut self, rhs: &'b Quaternion<T>)
[src]
impl<T> AddAssign<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> AddAssign<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn add_assign(&mut self, rhs: Quaternion<T>)
[src]
impl<T> Clone for Quaternion<T> where
T: Clone,
[src]
impl<T> Clone for Quaternion<T> where
T: Clone,
[src]pub fn clone(&self) -> Quaternion<T>
[src]
pub fn clone_from(&mut self, source: &Self)
1.0.0[src]
impl<T> Copy for Quaternion<T> where
T: Copy,
[src]
impl<T> Copy for Quaternion<T> where
T: Copy,
[src]impl<T> Debug for Quaternion<T> where
T: Debug,
[src]
impl<T> Debug for Quaternion<T> where
T: Debug,
[src]impl<T> Default for Quaternion<T> where
T: Scalar + Zero,
[src]
impl<T> Default for Quaternion<T> where
T: Scalar + Zero,
[src]pub fn default() -> Quaternion<T>
[src]
impl<T> Deref for Quaternion<T> where
T: Scalar + SimdValue,
[src]
impl<T> Deref for Quaternion<T> where
T: Scalar + SimdValue,
[src]impl<T> DerefMut for Quaternion<T> where
T: Scalar + SimdValue,
[src]
impl<T> DerefMut for Quaternion<T> where
T: Scalar + SimdValue,
[src]pub fn deref_mut(&mut self) -> &mut <Quaternion<T> as Deref>::Target
[src]
impl<'a, T> Deserialize<'a> for Quaternion<T> where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer: Deserialize<'a>,
[src]
impl<'a, T> Deserialize<'a> for Quaternion<T> where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer: Deserialize<'a>,
[src]pub fn deserialize<Des>(
deserializer: Des
) -> Result<Quaternion<T>, <Des as Deserializer<'a>>::Error> where
Des: Deserializer<'a>,
[src]
deserializer: Des
) -> Result<Quaternion<T>, <Des as Deserializer<'a>>::Error> where
Des: Deserializer<'a>,
impl<T> Display for Quaternion<T> where
T: RealField + Display,
[src]
impl<T> Display for Quaternion<T> where
T: RealField + Display,
[src]impl<'a, T> Div<T> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, T> Div<T> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the /
operator.
pub fn div(self, n: T) -> <&'a Quaternion<T> as Div<T>>::Output
[src]
impl<T> Div<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Div<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the /
operator.
pub fn div(self, n: T) -> <Quaternion<T> as Div<T>>::Output
[src]
impl<T> DivAssign<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> DivAssign<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn div_assign(&mut self, n: T)
[src]
impl<T> Eq for Quaternion<T> where
T: Scalar + Eq,
[src]
impl<T> Eq for Quaternion<T> where
T: Scalar + Eq,
[src]impl<T> From<[Quaternion<<T as SimdValue>::Element>; 16]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 16]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]pub fn from(arr: [Quaternion<<T as SimdValue>::Element>; 16]) -> Quaternion<T>
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 2]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 2]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]pub fn from(arr: [Quaternion<<T as SimdValue>::Element>; 2]) -> Quaternion<T>
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 4]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 4]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]pub fn from(arr: [Quaternion<<T as SimdValue>::Element>; 4]) -> Quaternion<T>
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 8]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]
impl<T> From<[Quaternion<<T as SimdValue>::Element>; 8]> for Quaternion<T> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
[src]pub fn from(arr: [Quaternion<<T as SimdValue>::Element>; 8]) -> Quaternion<T>
[src]
impl<T> From<[T; 4]> for Quaternion<T> where
T: Scalar,
[src]
impl<T> From<[T; 4]> for Quaternion<T> where
T: Scalar,
[src]pub fn from(coords: [T; 4]) -> Quaternion<T>
[src]
impl<T> From<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>> for Quaternion<T> where
T: Scalar,
[src]
impl<T> From<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>> for Quaternion<T> where
T: Scalar,
[src]pub fn from(
coords: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
) -> Quaternion<T>
[src]
coords: Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 4_usize, 1_usize>>
) -> Quaternion<T>
impl<T> Hash for Quaternion<T> where
T: Scalar + Hash,
[src]
impl<T> Hash for Quaternion<T> where
T: Scalar + Hash,
[src]impl<T> Index<usize> for Quaternion<T> where
T: Scalar,
[src]
impl<T> Index<usize> for Quaternion<T> where
T: Scalar,
[src]impl<T> IndexMut<usize> for Quaternion<T> where
T: Scalar,
[src]
impl<T> IndexMut<usize> for Quaternion<T> where
T: Scalar,
[src]impl<'a, 'b, T> Mul<&'b Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, 'b, T> Mul<&'b Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b Quaternion<T>
) -> <&'a Quaternion<T> as Mul<&'b Quaternion<T>>>::Output
[src]
self,
rhs: &'b Quaternion<T>
) -> <&'a Quaternion<T> as Mul<&'b Quaternion<T>>>::Output
impl<'b, T> Mul<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'b, T> Mul<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b Quaternion<T>
) -> <Quaternion<T> as Mul<&'b Quaternion<T>>>::Output
[src]
self,
rhs: &'b Quaternion<T>
) -> <Quaternion<T> as Mul<&'b Quaternion<T>>>::Output
impl<'a, T> Mul<Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, T> Mul<Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: Quaternion<T>
) -> <&'a Quaternion<T> as Mul<Quaternion<T>>>::Output
[src]
self,
rhs: Quaternion<T>
) -> <&'a Quaternion<T> as Mul<Quaternion<T>>>::Output
impl<T> Mul<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Mul<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: Quaternion<T>
) -> <Quaternion<T> as Mul<Quaternion<T>>>::Output
[src]
self,
rhs: Quaternion<T>
) -> <Quaternion<T> as Mul<Quaternion<T>>>::Output
impl<'a, T> Mul<T> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, T> Mul<T> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the *
operator.
pub fn mul(self, n: T) -> <&'a Quaternion<T> as Mul<T>>::Output
[src]
impl<T> Mul<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Mul<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the *
operator.
pub fn mul(self, n: T) -> <Quaternion<T> as Mul<T>>::Output
[src]
impl<'b, T> MulAssign<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'b, T> MulAssign<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn mul_assign(&mut self, rhs: &'b Quaternion<T>)
[src]
impl<T> MulAssign<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> MulAssign<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn mul_assign(&mut self, rhs: Quaternion<T>)
[src]
impl<T> MulAssign<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> MulAssign<T> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn mul_assign(&mut self, n: T)
[src]
impl<T> Neg for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Neg for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the -
operator.
pub fn neg(self) -> <Quaternion<T> as Neg>::Output
[src]
impl<'a, T> Neg for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, T> Neg for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the -
operator.
pub fn neg(self) -> <&'a Quaternion<T> as Neg>::Output
[src]
impl<T> Normed for Quaternion<T> where
T: SimdRealField,
[src]
impl<T> Normed for Quaternion<T> where
T: SimdRealField,
[src]type Norm = <T as SimdComplexField>::SimdRealField
The type of the norm.
pub fn norm(&self) -> <T as SimdComplexField>::SimdRealField
[src]
pub fn norm_squared(&self) -> <T as SimdComplexField>::SimdRealField
[src]
pub fn scale_mut(&mut self, n: <Quaternion<T> as Normed>::Norm)
[src]
pub fn unscale_mut(&mut self, n: <Quaternion<T> as Normed>::Norm)
[src]
impl<T> One for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> One for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]impl<T> PartialEq<Quaternion<T>> for Quaternion<T> where
T: Scalar,
[src]
impl<T> PartialEq<Quaternion<T>> for Quaternion<T> where
T: Scalar,
[src]impl<T> RelativeEq<Quaternion<T>> for Quaternion<T> where
T: RealField<Epsilon = T> + RelativeEq<T>,
[src]
impl<T> RelativeEq<Quaternion<T>> for Quaternion<T> where
T: RealField<Epsilon = T> + RelativeEq<T>,
[src]pub fn default_max_relative(
) -> <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
[src]
) -> <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
pub fn relative_eq(
&self,
other: &Quaternion<T>,
epsilon: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon,
max_relative: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
) -> bool
[src]
&self,
other: &Quaternion<T>,
epsilon: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon,
max_relative: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon
) -> bool
pub fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
impl<T> Serialize for Quaternion<T> where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer: Serialize,
[src]
impl<T> Serialize for Quaternion<T> where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<{_: usize}>, Const<1_usize>>>::Buffer: Serialize,
[src]pub fn serialize<S>(
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
S: Serializer,
[src]
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
S: Serializer,
impl<T> SimdValue for Quaternion<T> where
T: Scalar + SimdValue,
<T as SimdValue>::Element: Scalar,
[src]
impl<T> SimdValue for Quaternion<T> where
T: Scalar + SimdValue,
<T as SimdValue>::Element: Scalar,
[src]type Element = Quaternion<<T as SimdValue>::Element>
The type of the elements of each lane of this SIMD value.
type SimdBool = <T as SimdValue>::SimdBool
Type of the result of comparing two SIMD values like self
.
pub fn lanes() -> usize
[src]
pub fn splat(val: <Quaternion<T> as SimdValue>::Element) -> Quaternion<T>
[src]
pub fn extract(&self, i: usize) -> <Quaternion<T> as SimdValue>::Element
[src]
pub unsafe fn extract_unchecked(
&self,
i: usize
) -> <Quaternion<T> as SimdValue>::Element
[src]
&self,
i: usize
) -> <Quaternion<T> as SimdValue>::Element
pub fn replace(&mut self, i: usize, val: <Quaternion<T> as SimdValue>::Element)
[src]
pub unsafe fn replace_unchecked(
&mut self,
i: usize,
val: <Quaternion<T> as SimdValue>::Element
)
[src]
&mut self,
i: usize,
val: <Quaternion<T> as SimdValue>::Element
)
pub fn select(
self,
cond: <Quaternion<T> as SimdValue>::SimdBool,
other: Quaternion<T>
) -> Quaternion<T>
[src]
self,
cond: <Quaternion<T> as SimdValue>::SimdBool,
other: Quaternion<T>
) -> Quaternion<T>
pub fn map_lanes(self, f: impl Fn(Self::Element) -> Self::Element) -> Self where
Self: Clone,
Self: Clone,
pub fn zip_map_lanes(
self,
b: Self,
f: impl Fn(Self::Element, Self::Element) -> Self::Element
) -> Self where
Self: Clone,
self,
b: Self,
f: impl Fn(Self::Element, Self::Element) -> Self::Element
) -> Self where
Self: Clone,
impl<'a, 'b, T> Sub<&'b Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, 'b, T> Sub<&'b Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: &'b Quaternion<T>
) -> <&'a Quaternion<T> as Sub<&'b Quaternion<T>>>::Output
[src]
self,
rhs: &'b Quaternion<T>
) -> <&'a Quaternion<T> as Sub<&'b Quaternion<T>>>::Output
impl<'b, T> Sub<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'b, T> Sub<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: &'b Quaternion<T>
) -> <Quaternion<T> as Sub<&'b Quaternion<T>>>::Output
[src]
self,
rhs: &'b Quaternion<T>
) -> <Quaternion<T> as Sub<&'b Quaternion<T>>>::Output
impl<T> Sub<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Sub<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: Quaternion<T>
) -> <Quaternion<T> as Sub<Quaternion<T>>>::Output
[src]
self,
rhs: Quaternion<T>
) -> <Quaternion<T> as Sub<Quaternion<T>>>::Output
impl<'a, T> Sub<Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'a, T> Sub<Quaternion<T>> for &'a Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]type Output = Quaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: Quaternion<T>
) -> <&'a Quaternion<T> as Sub<Quaternion<T>>>::Output
[src]
self,
rhs: Quaternion<T>
) -> <&'a Quaternion<T> as Sub<Quaternion<T>>>::Output
impl<'b, T> SubAssign<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<'b, T> SubAssign<&'b Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn sub_assign(&mut self, rhs: &'b Quaternion<T>)
[src]
impl<T> SubAssign<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> SubAssign<Quaternion<T>> for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]pub fn sub_assign(&mut self, rhs: Quaternion<T>)
[src]
impl<T1, T2> SubsetOf<Quaternion<T2>> for Quaternion<T1> where
T1: Scalar,
T2: Scalar + SupersetOf<T1>,
[src]
impl<T1, T2> SubsetOf<Quaternion<T2>> for Quaternion<T1> where
T1: Scalar,
T2: Scalar + SupersetOf<T1>,
[src]pub fn to_superset(&self) -> Quaternion<T2>
[src]
pub fn is_in_subset(q: &Quaternion<T2>) -> bool
[src]
pub fn from_superset_unchecked(q: &Quaternion<T2>) -> Quaternion<T1>
[src]
pub fn from_superset(element: &T) -> Option<Self>
impl<T> UlpsEq<Quaternion<T>> for Quaternion<T> where
T: RealField<Epsilon = T> + UlpsEq<T>,
[src]
impl<T> UlpsEq<Quaternion<T>> for Quaternion<T> where
T: RealField<Epsilon = T> + UlpsEq<T>,
[src]pub fn default_max_ulps() -> u32
[src]
pub fn ulps_eq(
&self,
other: &Quaternion<T>,
epsilon: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon,
max_ulps: u32
) -> bool
[src]
&self,
other: &Quaternion<T>,
epsilon: <Quaternion<T> as AbsDiffEq<Quaternion<T>>>::Epsilon,
max_ulps: u32
) -> bool
pub fn ulps_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_ulps: u32
) -> bool
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_ulps: u32
) -> bool
impl<T> Zero for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
impl<T> Zero for Quaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]Auto Trait Implementations
impl<T> RefUnwindSafe for Quaternion<T> where
T: RefUnwindSafe,
impl<T> RefUnwindSafe for Quaternion<T> where
T: RefUnwindSafe,
impl<T> Send for Quaternion<T> where
T: Send,
impl<T> Send for Quaternion<T> where
T: Send,
impl<T> Sync for Quaternion<T> where
T: Sync,
impl<T> Sync for Quaternion<T> where
T: Sync,
impl<T> Unpin for Quaternion<T> where
T: Unpin,
impl<T> Unpin for Quaternion<T> where
T: Unpin,
impl<T> UnwindSafe for Quaternion<T> where
T: UnwindSafe,
impl<T> UnwindSafe for Quaternion<T> where
T: UnwindSafe,
Blanket Implementations
impl<T, U> Cast<U> for T where
U: FromCast<T>,
impl<T, U> Cast<U> for T where
U: FromCast<T>,
pub fn cast(self) -> U
impl<T> ClosedNeg for T where
T: Neg<Output = T>,
impl<T> ClosedNeg for T where
T: Neg<Output = T>,
impl<T> DeserializeOwned for T where
T: for<'de> Deserialize<'de>,
[src]
impl<T> DeserializeOwned for T where
T: for<'de> Deserialize<'de>,
[src]impl<T> Downcast for T where
T: Any,
impl<T> Downcast for T where
T: Any,
impl<T> FromBits<T> for T
impl<T> FromBits<T> for T
pub fn from_bits(t: T) -> T
impl<T> FromCast<T> for T
impl<T> FromCast<T> for T
pub fn from_cast(t: T) -> T
impl<T, U> IntoBits<U> for T where
U: FromBits<T>,
impl<T, U> IntoBits<U> for T where
U: FromBits<T>,
pub fn into_bits(self) -> U
impl<T> Same<T> for T
impl<T> Same<T> for T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
pub fn to_subset(&self) -> Option<SS>
pub fn is_in_subset(&self) -> bool
pub fn to_subset_unchecked(&self) -> SS
pub fn from_subset(element: &SS) -> SP
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
impl<V, T> VZip<V> for T where
V: MultiLane<T>,