Struct nalgebra::Quaternion [] [src]

pub struct Quaternion<N> {
    pub w: N,
    pub i: N,
    pub j: N,
    pub k: N,
}

A quaternion. See UnitQuaternion for a quaternion that can be used as a rotation.

Fields

The scalar component of the quaternion.

The first vector component of the quaternion.

The second vector component of the quaternion.

The third vector component of the quaternion.

Methods

impl<N> Quaternion<N>
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Creates a new quaternion from its components.

The vector part (i, j, k) of this quaternion.

The scalar part w of this quaternion.

impl<N: Neg<Output=N> + Copy> Quaternion<N>
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Compute the conjugate of this quaternion.

Replaces this quaternion by its conjugate.

impl<N: Zero + One> Quaternion<N>
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Create a unit vector with its $compN component equal to 1.0.

Create a unit vector with its $compN component equal to 1.0.

Create a unit vector with its $compN component equal to 1.0.

Create a unit vector with its $compN component equal to 1.0.

impl<N: Copy> Quaternion<N>
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Unsafe read access to a vector element by index.

Unsafe write access to a vector element by index.

impl<N> Quaternion<N>
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The dimension of this entity.

Trait Implementations

impl<N: Eq> Eq for Quaternion<N>
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impl<N: PartialEq> PartialEq for Quaternion<N>
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This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=.

impl<N: Encodable> Encodable for Quaternion<N>
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impl<N: Decodable> Decodable for Quaternion<N>
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impl<N: Clone> Clone for Quaternion<N>
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Returns a copy of the value. Read more

Performs copy-assignment from source. Read more

impl<N: Hash> Hash for Quaternion<N>
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Feeds this value into the state given, updating the hasher as necessary.

Feeds a slice of this type into the state provided.

impl<N: Debug> Debug for Quaternion<N>
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Formats the value using the given formatter.

impl<N: Copy> Copy for Quaternion<N>
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impl<N: BaseFloat + ApproxEq<N>> Inverse for Quaternion<N>
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Returns the inverse of m.

In-place version of inverse.

impl<N: BaseFloat> Norm<N> for Quaternion<N>
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Computes the squared norm of self. Read more

Gets the normalized version of a copy of v.

Normalizes self.

Computes the norm of self.

impl<N> Mul<Quaternion<N>> for Quaternion<N> where N: Copy + Mul<N, Output=N> + Sub<N, Output=N> + Add<N, Output=N>
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The resulting type after applying the * operator

The method for the * operator

impl<N> MulAssign<Quaternion<N>> for Quaternion<N> where N: Copy + Mul<N, Output=N> + Sub<N, Output=N> + Add<N, Output=N>
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The method for the *= operator

impl<N: ApproxEq<N> + BaseFloat> Div<Quaternion<N>> for Quaternion<N>
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The resulting type after applying the / operator

The method for the / operator

impl<N: ApproxEq<N> + BaseFloat> DivAssign<Quaternion<N>> for Quaternion<N>
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The method for the /= operator

impl<N: Display> Display for Quaternion<N>
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Formats the value using the given formatter.

impl<N: Rand> Rand for Quaternion<N>
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Generates a random instance of this type using the specified source of randomness. Read more

impl<N: BaseFloat> PartialOrder for Quaternion<N>
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Returns the infimum of this value and another

Returns the supremum of this value and another

Compare self and other using a partial ordering relation.

Returns true iff self and other are comparable and self < other.

Returns true iff self and other are comparable and self <= other.

Returns true iff self and other are comparable and self > other.

Returns true iff self and other are comparable and self >= other.

Return the minimum of self and other if they are comparable.

Return the maximum of self and other if they are comparable.

Clamp value between min and max. Returns None if value is not comparable to min or max. Read more

impl<Nin: Copy, Nout: Copy + Cast<Nin>> Cast<Quaternion<Nin>> for Quaternion<Nout>
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Converts an element of type T to an element of type Self.

impl<N> AsRef<[N; 4]> for Quaternion<N>
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Performs the conversion.

impl<N> AsMut<[N; 4]> for Quaternion<N>
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Performs the conversion.

impl<'a, N> From<&'a [N; 4]> for &'a Quaternion<N>
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Performs the conversion.

impl<'a, N> From<&'a mut [N; 4]> for &'a mut Quaternion<N>
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Performs the conversion.

impl<'a, N: Clone> From<&'a [N; 4]> for Quaternion<N>
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Performs the conversion.

impl<N, T> Index<T> for Quaternion<N> where [N]: Index<T>
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The returned type after indexing

The method for the indexing (Foo[Bar]) operation

impl<N, T> IndexMut<T> for Quaternion<N> where [N]: IndexMut<T>
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The method for the indexing (Foo[Bar]) operation

impl<N> Shape<usize> for Quaternion<N>
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Returns the shape of an indexable object.

impl<N: Copy> Indexable<usize, N> for Quaternion<N>
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Swaps the i-th element of self with its j-th element.

Reads the i-th element of self. Read more

Writes to the i-th element of self. Read more

impl<N: Copy> Repeat<N> for Quaternion<N>
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Creates a new vector with all its components equal to a given value.

impl<N> Dimension for Quaternion<N>
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The dimension of the object.

impl<N: Add<N, Output=N>> Add<Quaternion<N>> for Quaternion<N>
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The resulting type after applying the + operator

The method for the + operator

impl<N: AddAssign<N>> AddAssign<Quaternion<N>> for Quaternion<N>
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The method for the += operator

impl<N: Sub<N, Output=N>> Sub<Quaternion<N>> for Quaternion<N>
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The resulting type after applying the - operator

The method for the - operator

impl<N: SubAssign<N>> SubAssign<Quaternion<N>> for Quaternion<N>
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The method for the -= operator

impl<N: Copy + Add<N, Output=N>> Add<N> for Quaternion<N>
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The resulting type after applying the + operator

The method for the + operator

impl<N: Copy + AddAssign<N>> AddAssign<N> for Quaternion<N>
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The method for the += operator

impl<N: Copy + Sub<N, Output=N>> Sub<N> for Quaternion<N>
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The resulting type after applying the - operator

The method for the - operator

impl<N: Copy + SubAssign<N>> SubAssign<N> for Quaternion<N>
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The method for the -= operator

impl<N: Copy + Mul<N, Output=N>> Mul<N> for Quaternion<N>
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The resulting type after applying the * operator

The method for the * operator

impl<N: Copy + MulAssign<N>> MulAssign<N> for Quaternion<N>
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The method for the *= operator

impl<N: Copy + Div<N, Output=N>> Div<N> for Quaternion<N>
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The resulting type after applying the / operator

The method for the / operator

impl<N: Copy + DivAssign<N>> DivAssign<N> for Quaternion<N>
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The method for the /= operator

impl<N: Neg<Output=N> + Copy> Neg for Quaternion<N>
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The resulting type after applying the - operator

The method for the unary - operator

impl<N> One for Quaternion<N> where N: Copy + One + Sub<N, Output=N> + Add<N, Output=N>
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Returns the multiplicative identity element of Self, 1. Read more

impl<N: Zero> Zero for Quaternion<N>
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Returns the additive identity element of Self, 0. Read more

Returns true if self is equal to the additive identity.

impl<N: ApproxEq<N>> ApproxEq<N> for Quaternion<N>
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Default epsilon for approximation.

Default ULPs for approximation.

Tests approximate equality.

Tests approximate equality using a custom epsilon.

Tests approximate equality using units in the last place (ULPs)

impl<N> FromIterator<N> for Quaternion<N>
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Creates a value from an iterator. Read more

impl<N: Bounded> Bounded for Quaternion<N>
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The maximum value.

The minimum value.

impl<N: Axpy<N>> Axpy<N> for Quaternion<N>
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Adds $$a * x$$ to self.

impl<N> Iterable<N> for Quaternion<N>
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Gets a vector-like read-only iterator.

impl<N> IterableMut<N> for Quaternion<N>
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Gets a vector-like read-write iterator.