Struct nalgebra::core::Unit

#[repr(C)]
pub struct Unit<T> { /* fields omitted */ }

A wrapper that ensures the undelying algebraic entity has a unit norm.

Use .as_ref() or .unwrap() to obtain the undelying value by-reference or by-move.

Methods

impl<T: NormedSpace> Unit<T>

pub fn new_normalize(value: T) -> Self

Normalize the given value and return it wrapped on a Unit structure.

pub fn try_new(value: T, min_norm: T::Field) -> Option<Self>

Attempts to normalize the given value and return it wrapped on a Unit structure.

Returns None if the norm was smaller or equal to min_norm.

pub fn new_and_get(value: T) -> (Self, T::Field)

Normalize the given value and return it wrapped on a Unit structure and its norm.

pub fn try_new_and_get(value: T, min_norm: T::Field) -> Option<(Self, T::Field)>

Normalize the given value and return it wrapped on a Unit structure and its norm.

Returns None if the norm was smaller or equal to min_norm.

pub fn renormalize(&mut self) -> T::Field

Normalizes this value again. This is useful when repeated computations might cause a drift in the norm because of float inaccuracies.

Returns the norm before re-normalization (should be close to 1.0).

impl<T> Unit<T>

pub fn new_unchecked(value: T) -> Self

Wraps the given value, assuming it is already normalized.

This function is not safe because value is not verified to be actually normalized.

pub fn unwrap(self) -> T

Retrieves the underlying value.

Important traits for &'a mut R

impl<'a, R> Read for &'a mut R where
    R: Read + ?Sized, impl<'a, W> Write for &'a mut W where
    W: Write + ?Sized, impl<'a, I> Iterator for &'a mut I where
    I: Iterator + ?Sized,  type Item = <I as Iterator>::Item;

pub fn as_mut_unchecked(&mut self) -> &mut T

Returns a mutable reference to the underlying value. This is _unchecked because modifying the underlying value in such a way that it no longer has unit length may lead to unexpected results.

Trait Implementations

impl<N, R: Dim, C: Dim, S> ApproxEq for Unit<Matrix<N, R, C, S>> where     N: Scalar + ApproxEq,     S: Storage<N, R, C>,     N::Epsilon: Copy,

type Epsilon = N::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> Self::Epsilon

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

fn default_max_relative() -> Self::Epsilon

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

fn default_max_ulps() -> u32

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

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

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

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

A test for equality that uses units in the last place (ULP) if the values are far apart.

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

The inverse of ApproxEq::relative_eq.

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

The inverse of ApproxEq::ulps_eq.

impl<T: Eq> Eq for Unit<T>

impl<T: PartialEq> PartialEq for Unit<T>

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

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Unit<T>) -> bool

This method tests for !=.

impl<T: Clone> Clone for Unit<T>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Hash> Hash for Unit<T>

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

Feeds this value into the given [Hasher].

fn hash_slice<H>(data: &[Self], state: &mut H) where     H: Hasher,

Feeds a slice of this type into the given [Hasher].

impl<T: Debug> Debug for Unit<T>

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

Formats the value using the given formatter.

impl<T: Copy> Copy for Unit<T>

impl<T> AsRef<T> for Unit<T>

Important traits for &'a mut R

impl<'a, R> Read for &'a mut R where
    R: Read + ?Sized, impl<'a, W> Write for &'a mut W where
    W: Write + ?Sized, impl<'a, I> Iterator for &'a mut I where
    I: Iterator + ?Sized,  type Item = <I as Iterator>::Item;

fn as_ref(&self) -> &T

Performs the conversion.

impl<T: NormedSpace> SubsetOf<T> for Unit<T> where     T::Field: ApproxEq,

fn to_superset(&self) -> T

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

fn is_in_subset(value: &T) -> bool

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

unsafe fn from_superset_unchecked(value: &T) -> Self

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.

impl<T: Neg> Neg for Unit<T>

type Output = Unit<T::Output>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T> Deref for Unit<T>

type Target = T

The resulting type after dereferencing.

Important traits for &'a mut R

impl<'a, R> Read for &'a mut R where
    R: Read + ?Sized, impl<'a, W> Write for &'a mut W where
    W: Write + ?Sized, impl<'a, I> Iterator for &'a mut I where
    I: Iterator + ?Sized,  type Item = <I as Iterator>::Item;

fn deref(&self) -> &T

Dereferences the value.

impl<'a, 'b, N: Real, SB: Storage<N, U3>> Mul<&'b Unit<Vector<N, U3, SB>>> for &'a UnitQuaternion<N> where     DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>,

type Output = Unit<Vector3<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Unit<Vector<N, U3, SB>>) -> Self::Output

Performs the * operation.

impl<'a, N: Real, SB: Storage<N, U3>> Mul<Unit<Vector<N, U3, SB>>> for &'a UnitQuaternion<N> where     DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>,

type Output = Unit<Vector3<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: Unit<Vector<N, U3, SB>>) -> Self::Output

Performs the * operation.

impl<'b, N: Real, SB: Storage<N, U3>> Mul<&'b Unit<Vector<N, U3, SB>>> for UnitQuaternion<N> where     DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>,

type Output = Unit<Vector3<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Unit<Vector<N, U3, SB>>) -> Self::Output

Performs the * operation.

impl<N: Real, SB: Storage<N, U3>> Mul<Unit<Vector<N, U3, SB>>> for UnitQuaternion<N> where     DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>,

type Output = Unit<Vector3<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: Unit<Vector<N, U3, SB>>) -> Self::Output

Performs the * operation.

impl<N: Real, S: Storage<N, U2>> Mul<Unit<Vector<N, U2, S>>> for UnitComplex<N> where     DefaultAllocator: Allocator<N, U2, U1>,

type Output = Unit<Vector2<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: Unit<Vector<N, U2, S>>) -> Self::Output

Performs the * operation.

impl<'a, N: Real, S: Storage<N, U2>> Mul<Unit<Vector<N, U2, S>>> for &'a UnitComplex<N> where     DefaultAllocator: Allocator<N, U2, U1>,

type Output = Unit<Vector2<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: Unit<Vector<N, U2, S>>) -> Self::Output

Performs the * operation.

impl<'b, N: Real, S: Storage<N, U2>> Mul<&'b Unit<Vector<N, U2, S>>> for UnitComplex<N> where     DefaultAllocator: Allocator<N, U2, U1>,

type Output = Unit<Vector2<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Unit<Vector<N, U2, S>>) -> Self::Output

Performs the * operation.

impl<'a, 'b, N: Real, S: Storage<N, U2>> Mul<&'b Unit<Vector<N, U2, S>>> for &'a UnitComplex<N> where     DefaultAllocator: Allocator<N, U2, U1>,

type Output = Unit<Vector2<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Unit<Vector<N, U2, S>>) -> Self::Output

Performs the * operation.

impl<N: Real, D: DimName, R> Mul<Unit<VectorN<N, D>>> for Isometry<N, D, R> where     R: AlgaRotation<Point<N, D>>,     DefaultAllocator: Allocator<N, D>,

type Output = Unit<VectorN<N, D>>

The resulting type after applying the * operator.

fn mul(self, right: Unit<VectorN<N, D>>) -> Self::Output

Performs the * operation.

impl<'a, N: Real, D: DimName, R> Mul<Unit<VectorN<N, D>>> for &'a Isometry<N, D, R> where     R: AlgaRotation<Point<N, D>>,     DefaultAllocator: Allocator<N, D>,

type Output = Unit<VectorN<N, D>>

The resulting type after applying the * operator.

fn mul(self, right: Unit<VectorN<N, D>>) -> Self::Output

Performs the * operation.

impl<'b, N: Real, D: DimName, R> Mul<&'b Unit<VectorN<N, D>>> for Isometry<N, D, R> where     R: AlgaRotation<Point<N, D>>,     DefaultAllocator: Allocator<N, D>,

type Output = Unit<VectorN<N, D>>

The resulting type after applying the * operator.

fn mul(self, right: &'b Unit<VectorN<N, D>>) -> Self::Output

Performs the * operation.

impl<'a, 'b, N: Real, D: DimName, R> Mul<&'b Unit<VectorN<N, D>>> for &'a Isometry<N, D, R> where     R: AlgaRotation<Point<N, D>>,     DefaultAllocator: Allocator<N, D>,

type Output = Unit<VectorN<N, D>>

The resulting type after applying the * operator.

fn mul(self, right: &'b Unit<VectorN<N, D>>) -> Self::Output

Performs the * operation.