Struct Quaternion

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#[repr(C)]
pub struct Quaternion<T>(pub T, pub T, pub T, pub T);
Expand description

Arbitrary rotating

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§0: T§1: T§2: T§3: T

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impl<T> Quaternion<T>

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pub fn new(rad: T, axis: Vector3<T>) -> Self
where T: Div<T, Output = T> + Real + One + Copy + Add<T, Output = T> + Mul<T, Output = T>,

Creates new quaternion from rotation axis and angle in radian.

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pub fn lerp(&self, other: &Self, t: T) -> Self
where T: Real + Copy + Mul<T, Output = T> + Add<T, Output = T> + Div<T, Output = T> + Sub<T, Output = T> + One,

Calculates the lerp-ed quaternion between 2 quaternions by t.

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pub fn angle(&self, other: &Self) -> T
where T: Real + Copy + Mul<T, Output = T> + Add<T, Output = T>,

Calculates a difference of angle between 2 quaternions

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pub fn normalize(self) -> Self
where T: Copy + Div<T, Output = T> + Mul<T, Output = T> + Add<T, Output = T> + Real,

Calculates a normalized quaternion

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impl<T> AsRef<[T; 4]> for Quaternion<T>

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fn as_ref(&self) -> &[T; 4]

Converts this type into a shared reference of the (usually inferred) input type.
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impl<T: Clone> Clone for Quaternion<T>

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

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

Performs copy-assignment from source. Read more
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impl<T: Debug> Debug for Quaternion<T>

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

Formats the value using the given formatter. Read more
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impl<T> From<Quaternion<T>> for Matrix3<T>
where T: One + Mul<T, Output = T> + Sub<T, Output = T> + Add<T, Output = T> + Copy,

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fn from(Quaternion: Quaternion<T>) -> Self

Converts to this type from the input type.
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impl<T> From<Quaternion<T>> for Matrix4<T>
where T: One + Zero + Mul<T, Output = T> + Sub<T, Output = T> + Add<T, Output = T> + Copy,

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fn from(Quaternion: Quaternion<T>) -> Self

Converts to this type from the input type.
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impl<T: Hash> Hash for Quaternion<T>

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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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<T> Mul for Quaternion<T>
where T: Mul<T, Output = T> + Add<T, Output = T> + Sub<T, Output = T> + Copy,

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type Output = Quaternion<T>

The resulting type after applying the * operator.
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fn mul(self, Quaternion: Quaternion<T>) -> Self::Output

Performs the * operation. Read more
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impl<T: Neg<Output = T>> Neg for Quaternion<T>

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type Output = Quaternion<T>

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

Performs the unary - operation. Read more
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impl<T: One + Zero> One for Quaternion<T>

identity

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const ONE: Self

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impl<T: Ord> Ord for Quaternion<T>

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fn cmp(&self, other: &Quaternion<T>) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
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impl<T: PartialEq> PartialEq for Quaternion<T>

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

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T: PartialOrd> PartialOrd for Quaternion<T>

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fn partial_cmp(&self, other: &Quaternion<T>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<T: Copy> Copy for Quaternion<T>

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impl<T: Eq> Eq for Quaternion<T>

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impl<T> StructuralPartialEq for Quaternion<T>

Auto Trait Implementations§

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

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

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

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

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

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

Blanket Implementations§

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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> 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: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T> Instrument for T

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

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> 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> 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> 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