Struct nalgebra::geometry::PointBase

#[repr(C)]
pub struct PointBase<N: Scalar, D: DimName, S: Storage<N, D, U1>> {
    pub coords: ColumnVector<N, D, S>,
}

A point in a n-dimensional euclidean space.

Fields

coords: ColumnVector<N, D, S>

The coordinates of this point, i.e., the shift from the origin.

Methods

impl<N: Scalar, D: DimName, S: Storage<N, D, U1>> PointBase<N, D, S>

fn from_coordinates(coords: ColumnVector<N, D, S>) -> PointBase<N, D, S>

Creates a new point with the given coordinates.

impl<N: Scalar, D: DimName, S: Storage<N, D, U1>> PointBase<N, D, S>

fn into_owned(self) -> OwnedPoint<N, D, S::Alloc>

Moves this point into one that owns its data.

fn clone_owned(&self) -> OwnedPoint<N, D, S::Alloc>

Clones this point into one that owns its data.

fn len(&self) -> usize

The dimension of this point.

fn stride(&self) -> usize

The stride of this point. This is the number of buffer element separating each component of this point.

fn iter(&self) -> MatrixIter<N, D, U1, S>

Iterates through this point coordinates.

unsafe fn get_unchecked(&self, i: usize) -> &N

Gets a reference to i-th element of this point without bound-checking.

fn to_homogeneous(&self) -> OwnedColumnVector<N, DimNameSum<D, U1>, S::Alloc> where
    N: One,
    D: DimNameAdd<U1>,
    S::Alloc: Allocator<N, DimNameSum<D, U1>, U1>, 

Converts this point into a vector in homogeneous coordinates, i.e., appends a 1 at the end of it.

impl<N: Scalar, D: DimName, S: StorageMut<N, D, U1>> PointBase<N, D, S>

fn iter_mut(&mut self) -> MatrixIterMut<N, D, U1, S>

Mutably iterates through this point coordinates.

unsafe fn get_unchecked_mut(&mut self, i: usize) -> &mut N

Gets a mutable reference to i-th element of this point without bound-checking.

unsafe fn swap_unchecked(&mut self, i1: usize, i2: usize)

Swaps two entries without bound-checking.

impl<N, D: DimName, S> PointBase<N, D, S> where
    N: Scalar,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

unsafe fn new_uninitialized() -> Self

Creates a new point with uninitialized coordinates.

fn origin() -> Self where
    N: Zero, 

Creates a new point with all coordinates equal to zero.

fn from_homogeneous<SB>(
    v: ColumnVector<N, DimNameSum<D, U1>, SB>
) -> Option<Self> where
    N: Scalar + Zero + One + ClosedDiv,
    D: DimNameAdd<U1>,
    SB: Storage<N, DimNameSum<D, U1>, U1, Alloc = S::Alloc>,
    S::Alloc: Allocator<N, DimNameSum<D, U1>, U1>, 

Creates a new point from its homogeneous vector representation.

In practice, this builds a D-dimensional points with the same first D component as v divided by the last component of v. Returns None if this divisor is zero.

impl<N, S> PointBase<N, U1, S> where
    N: Scalar,
    S: OwnedStorage<N, U1, U1>,
    S::Alloc: OwnedAllocator<N, U1, U1, S>, 

fn new(x: N) -> PointBase<N, U1, S>

Initializes this matrix from its components.

impl<N, S> PointBase<N, U2, S> where
    N: Scalar,
    S: OwnedStorage<N, U2, U1>,
    S::Alloc: OwnedAllocator<N, U2, U1, S>, 

fn new(x: N, y: N) -> PointBase<N, U2, S>

Initializes this matrix from its components.

impl<N, S> PointBase<N, U3, S> where
    N: Scalar,
    S: OwnedStorage<N, U3, U1>,
    S::Alloc: OwnedAllocator<N, U3, U1, S>, 

fn new(x: N, y: N, z: N) -> PointBase<N, U3, S>

Initializes this matrix from its components.

impl<N, S> PointBase<N, U4, S> where
    N: Scalar,
    S: OwnedStorage<N, U4, U1>,
    S::Alloc: OwnedAllocator<N, U4, U1, S>, 

fn new(x: N, y: N, z: N, w: N) -> PointBase<N, U4, S>

Initializes this matrix from its components.

impl<N, S> PointBase<N, U5, S> where
    N: Scalar,
    S: OwnedStorage<N, U5, U1>,
    S::Alloc: OwnedAllocator<N, U5, U1, S>, 

fn new(x: N, y: N, z: N, w: N, a: N) -> PointBase<N, U5, S>

Initializes this matrix from its components.

impl<N, S> PointBase<N, U6, S> where
    N: Scalar,
    S: OwnedStorage<N, U6, U1>,
    S::Alloc: OwnedAllocator<N, U6, U1, S>, 

fn new(x: N, y: N, z: N, w: N, a: N, b: N) -> PointBase<N, U6, S>

Initializes this matrix from its components.

Trait Implementations

impl<N: Hash + Scalar, D: Hash + DimName, S: Hash + Storage<N, D, U1>> Hash for PointBase<N, D, S>

fn hash<__HNDS: Hasher>(&self, __arg_0: &mut __HNDS)

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<N: Debug + Scalar, D: Debug + DimName, S: Debug + Storage<N, D, U1>> Debug for PointBase<N, D, S>

fn fmt(&self, __arg_0: &mut Formatter) -> Result

Formats the value using the given formatter.

impl<N, D, S> Copy for PointBase<N, D, S> where
    N: Scalar,
    D: DimName,
    S: Storage<N, D, U1> + Copy, 

impl<N, D, S> Clone for PointBase<N, D, S> where
    N: Scalar,
    D: DimName,
    S: Storage<N, D, U1> + Clone, 

fn clone(&self) -> Self

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N, D: DimName, S> ApproxEq for PointBase<N, D, S> where
    N: Scalar + ApproxEq,
    S: Storage<N, D, U1>,
    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<N, D: DimName, S> Eq for PointBase<N, D, S> where
    N: Scalar + Eq,
    S: Storage<N, D, U1>, 

impl<N, D: DimName, S> PartialEq for PointBase<N, D, S> where
    N: Scalar,
    S: Storage<N, D, U1>, 

fn eq(&self, right: &Self) -> bool

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

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<N, D: DimName, S> PartialOrd for PointBase<N, D, S> where
    N: Scalar + PartialOrd,
    S: Storage<N, D, U1>, 

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

This method returns an ordering between self and other values if one exists.

fn lt(&self, right: &Self) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, right: &Self) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, right: &Self) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, right: &Self) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<N, D: DimName, S> Display for PointBase<N, D, S> where
    N: Scalar + Display,
    S: Storage<N, D, U1>, 

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

Formats the value using the given formatter.

impl<N, D: DimName, S> Bounded for PointBase<N, D, S> where
    N: Scalar + Bounded,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

fn max_value() -> Self

returns the largest finite number this type can represent

fn min_value() -> Self

returns the smallest finite number this type can represent

impl<N, D: DimName, S> Rand for PointBase<N, D, S> where
    N: Scalar + Rand,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

fn rand<G: Rng>(rng: &mut G) -> Self

Generates a random instance of this type using the specified source of randomness.

impl<N, D: DimName, S> Index<usize> for PointBase<N, D, S> where
    N: Scalar,
    S: Storage<N, D, U1>, 

type Output = N

The returned type after indexing

fn index(&self, i: usize) -> &Self::Output

The method for the indexing (container[index]) operation

impl<N, D: DimName, S> IndexMut<usize> for PointBase<N, D, S> where
    N: Scalar,
    S: StorageMut<N, D, U1>, 

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

The method for the mutable indexing (container[index]) operation

impl<N, D: DimName, S> Neg for PointBase<N, D, S> where
    N: Scalar + ClosedNeg,
    S: Storage<N, D, U1>, 

type Output = OwnedPoint<N, D, S::Alloc>

The resulting type after applying the - operator

fn neg(self) -> Self::Output

The method for the unary - operator

impl<'a, N, D: DimName, S> Neg for &'a PointBase<N, D, S> where
    N: Scalar + ClosedNeg,
    S: Storage<N, D, U1>, 

type Output = OwnedPoint<N, D, S::Alloc>

The resulting type after applying the - operator

fn neg(self) -> Self::Output

The method for the unary - operator

impl<'a, 'b, N, D: DimName, SA, SB> Sub<&'b PointBase<N, D, SB>> for &'a PointBase<N, D, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D, U1>,
    SB: Storage<N, D, U1>,
    SA::Alloc: SameShapeAllocator<N, D, U1, D, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D, D> + SameNumberOfColumns<U1, U1>, 

type Output = ColumnVectorSum<N, D, D, SA>

The resulting type after applying the - operator

fn sub(self, right: &'b PointBase<N, D, SB>) -> Self::Output

The method for the - operator

impl<'a, N, D: DimName, SA, SB> Sub<PointBase<N, D, SA>> for &'a PointBase<N, D, SB> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D, U1>,
    SB: Storage<N, D, U1>,
    SA::Alloc: SameShapeAllocator<N, D, U1, D, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D, D> + SameNumberOfColumns<U1, U1>, 

type Output = ColumnVectorSum<N, D, D, SA>

The resulting type after applying the - operator

fn sub(self, right: PointBase<N, D, SA>) -> Self::Output

The method for the - operator

impl<'b, N, D: DimName, SA, SB> Sub<&'b PointBase<N, D, SB>> for PointBase<N, D, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D, U1>,
    SB: Storage<N, D, U1>,
    SA::Alloc: SameShapeAllocator<N, D, U1, D, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D, D> + SameNumberOfColumns<U1, U1>, 

type Output = ColumnVectorSum<N, D, D, SA>

The resulting type after applying the - operator

fn sub(self, right: &'b PointBase<N, D, SB>) -> Self::Output

The method for the - operator

impl<N, D: DimName, SA, SB> Sub<PointBase<N, D, SB>> for PointBase<N, D, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D, U1>,
    SB: Storage<N, D, U1>,
    SA::Alloc: SameShapeAllocator<N, D, U1, D, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D, D> + SameNumberOfColumns<U1, U1>, 

type Output = ColumnVectorSum<N, D, D, SA>

The resulting type after applying the - operator

fn sub(self, right: PointBase<N, D, SB>) -> Self::Output

The method for the - operator

impl<'a, 'b, N, D1: DimName, D2: Dim, SA, SB> Sub<&'b ColumnVector<N, D2, SB>> for &'a PointBase<N, D1, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the - operator

fn sub(self, right: &'b ColumnVector<N, D2, SB>) -> Self::Output

The method for the - operator

impl<'a, N, D1: DimName, D2: Dim, SA, SB> Sub<ColumnVector<N, D2, SB>> for &'a PointBase<N, D1, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the - operator

fn sub(self, right: ColumnVector<N, D2, SB>) -> Self::Output

The method for the - operator

impl<'b, N, D1: DimName, D2: Dim, SA, SB> Sub<&'b ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the - operator

fn sub(self, right: &'b ColumnVector<N, D2, SB>) -> Self::Output

The method for the - operator

impl<N, D1: DimName, D2: Dim, SA, SB> Sub<ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedSub,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the - operator

fn sub(self, right: ColumnVector<N, D2, SB>) -> Self::Output

The method for the - operator

impl<'a, 'b, N, D1: DimName, D2: Dim, SA, SB> Add<&'b ColumnVector<N, D2, SB>> for &'a PointBase<N, D1, SA> where
    N: Scalar + ClosedAdd,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the + operator

fn add(self, right: &'b ColumnVector<N, D2, SB>) -> Self::Output

The method for the + operator

impl<'a, N, D1: DimName, D2: Dim, SA, SB> Add<ColumnVector<N, D2, SB>> for &'a PointBase<N, D1, SA> where
    N: Scalar + ClosedAdd,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the + operator

fn add(self, right: ColumnVector<N, D2, SB>) -> Self::Output

The method for the + operator

impl<'b, N, D1: DimName, D2: Dim, SA, SB> Add<&'b ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedAdd,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the + operator

fn add(self, right: &'b ColumnVector<N, D2, SB>) -> Self::Output

The method for the + operator

impl<N, D1: DimName, D2: Dim, SA, SB> Add<ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedAdd,
    SA: Storage<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    SA::Alloc: SameShapeAllocator<N, D1, U1, D2, U1, SA>,
    ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<U1, U1>, 

type Output = OwnedPoint<N, D1, SA::Alloc>

The resulting type after applying the + operator

fn add(self, right: ColumnVector<N, D2, SB>) -> Self::Output

The method for the + operator

impl<'b, N, D1: DimName, D2: Dim, SA, SB> AddAssign<&'b ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedAdd,
    SA: StorageMut<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    ShapeConstraint: SameNumberOfRows<D1, D2>, 

fn add_assign(&mut self, right: &'b ColumnVector<N, D2, SB>)

The method for the += operator

impl<N, D1: DimName, D2: Dim, SA, SB> AddAssign<ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedAdd,
    SA: StorageMut<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    ShapeConstraint: SameNumberOfRows<D1, D2>, 

fn add_assign(&mut self, right: ColumnVector<N, D2, SB>)

The method for the += operator

impl<'b, N, D1: DimName, D2: Dim, SA, SB> SubAssign<&'b ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedSub,
    SA: StorageMut<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    ShapeConstraint: SameNumberOfRows<D1, D2>, 

fn sub_assign(&mut self, right: &'b ColumnVector<N, D2, SB>)

The method for the -= operator

impl<N, D1: DimName, D2: Dim, SA, SB> SubAssign<ColumnVector<N, D2, SB>> for PointBase<N, D1, SA> where
    N: Scalar + ClosedSub,
    SA: StorageMut<N, D1, U1>,
    SB: Storage<N, D2, U1>,
    ShapeConstraint: SameNumberOfRows<D1, D2>, 

fn sub_assign(&mut self, right: ColumnVector<N, D2, SB>)

The method for the -= operator

impl<N, D: DimName, S> Mul<N> for PointBase<N, D, S> where
    N: Scalar + ClosedMul,
    S: Storage<N, D, U1>, 

type Output = OwnedPoint<N, D, S::Alloc>

The resulting type after applying the * operator

fn mul(self, right: N) -> Self::Output

The method for the * operator

impl<'a, N, D: DimName, S> Mul<N> for &'a PointBase<N, D, S> where
    N: Scalar + ClosedMul,
    S: Storage<N, D, U1>, 

type Output = OwnedPoint<N, D, S::Alloc>

The resulting type after applying the * operator

fn mul(self, right: N) -> Self::Output

The method for the * operator

impl<N, D: DimName, S> MulAssign<N> for PointBase<N, D, S> where
    N: Scalar + ClosedMul,
    S: StorageMut<N, D, U1>, 

fn mul_assign(&mut self, right: N)

The method for the *= operator

impl<N, D: DimName, S> Div<N> for PointBase<N, D, S> where
    N: Scalar + ClosedDiv,
    S: Storage<N, D, U1>, 

type Output = OwnedPoint<N, D, S::Alloc>

The resulting type after applying the / operator

fn div(self, right: N) -> Self::Output

The method for the / operator

impl<'a, N, D: DimName, S> Div<N> for &'a PointBase<N, D, S> where
    N: Scalar + ClosedDiv,
    S: Storage<N, D, U1>, 

type Output = OwnedPoint<N, D, S::Alloc>

The resulting type after applying the / operator

fn div(self, right: N) -> Self::Output

The method for the / operator

impl<N, D: DimName, S> DivAssign<N> for PointBase<N, D, S> where
    N: Scalar + ClosedDiv,
    S: StorageMut<N, D, U1>, 

fn div_assign(&mut self, right: N)

The method for the /= operator

impl<N, D: DimName, S> AffineSpace for PointBase<N, D, S> where
    N: Scalar + Field,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

type Translation = ColumnVector<N, D, S>

The associated vector space.

fn translate_by(&self, t: &Self::Translation) -> Self

Same as *self + *t. Applies the additive group action of this affine space's associated vector space on self.

fn subtract(&self, right: &Self) -> Self::Translation

Same as *self - *other. Returns the unique element v of the associated vector space such that self = right + v.

impl<N, D: DimName, S> EuclideanSpace for PointBase<N, D, S> where
    N: Real,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

type Coordinates = ColumnVector<N, D, S>

The underlying finite vector space.

type Real = N

The underlying reals.

fn origin() -> Self

The preferred origin of this euclidean space.

fn coordinates(&self) -> Self::Coordinates

The coordinates of this point, i.e., the translation from the origin.

fn from_coordinates(coords: Self::Coordinates) -> Self

Builds a point from its coordinates relative to the origin.

fn scale_by(&self, n: N) -> Self

Multiplies the distance of this point to Self::origin() by s.

fn distance_squared(&self, b: &Self) -> Self::Real

The distance between two points.

fn distance(&self, b: &Self) -> Self::Real

The distance between two points.

impl<N, D: DimName, S> MeetSemilattice for PointBase<N, D, S> where
    N: Scalar + MeetSemilattice,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

fn meet(&self, other: &Self) -> Self

Returns the meet (aka. infimum) of two values.

impl<N, D: DimName, S> JoinSemilattice for PointBase<N, D, S> where
    N: Scalar + JoinSemilattice,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

fn join(&self, other: &Self) -> Self

Returns the join (aka. supremum) of two values.

impl<N, D: DimName, S> Lattice for PointBase<N, D, S> where
    N: Scalar + Lattice,
    S: OwnedStorage<N, D, U1>,
    S::Alloc: OwnedAllocator<N, D, U1, S>, 

fn meet_join(&self, other: &Self) -> (Self, Self)

Returns the infimum and the supremum simultaneously.

fn partial_min(&'a self, other: &'a Self) -> Option<&'a Self>

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

fn partial_max(&'a self, other: &'a Self) -> Option<&'a Self>

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

fn partial_sort2(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

Sorts two values in increasing order using a partial ordering.

fn partial_clamp(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

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

impl<N1, N2, D, SA, SB> SubsetOf<PointBase<N2, D, SB>> for PointBase<N1, D, SA> where
    D: DimName,
    N1: Scalar,
    N2: Scalar + SupersetOf<N1>,
    SA: OwnedStorage<N1, D, U1>,
    SB: OwnedStorage<N2, D, U1>,
    SB::Alloc: OwnedAllocator<N2, D, U1, SB>,
    SA::Alloc: OwnedAllocator<N1, D, U1, SA>, 

fn to_superset(&self) -> PointBase<N2, D, SB>

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

fn is_in_subset(m: &PointBase<N2, D, SB>) -> bool

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

unsafe fn from_superset_unchecked(m: &PointBase<N2, D, SB>) -> 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<N1, N2, D, SA, SB> SubsetOf<ColumnVector<N2, DimNameSum<D, U1>, SB>> for PointBase<N1, D, SA> where
    D: DimNameAdd<U1>,
    N1: Scalar,
    N2: Scalar + Zero + One + ClosedDiv + SupersetOf<N1>,
    SA: OwnedStorage<N1, D, U1>,
    SB: OwnedStorage<N2, DimNameSum<D, U1>, U1>,
    SA::Alloc: OwnedAllocator<N1, D, U1, SA> + Allocator<N1, DimNameSum<D, U1>, U1>,
    SB::Alloc: OwnedAllocator<N2, DimNameSum<D, U1>, U1, SB> + Allocator<N2, D, U1>, 

fn to_superset(&self) -> ColumnVector<N2, DimNameSum<D, U1>, SB>

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

fn is_in_subset(v: &ColumnVector<N2, DimNameSum<D, U1>, SB>) -> bool

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

unsafe fn from_superset_unchecked(
    v: &ColumnVector<N2, DimNameSum<D, U1>, SB>
) -> 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<N: Scalar, S> Deref for PointBase<N, U1, S> where
    S: OwnedStorage<N, U1, U1>,
    S::Alloc: OwnedAllocator<N, U1, U1, S>, 

type Target = X<N>

The resulting type after dereferencing

fn deref(&self) -> &Self::Target

The method called to dereference a value

impl<N: Scalar, S> DerefMut for PointBase<N, U1, S> where
    S: OwnedStorage<N, U1, U1>,
    S::Alloc: OwnedAllocator<N, U1, U1, S>, 

fn deref_mut(&mut self) -> &mut Self::Target

The method called to mutably dereference a value

impl<N: Scalar, S> Deref for PointBase<N, U2, S> where
    S: OwnedStorage<N, U2, U1>,
    S::Alloc: OwnedAllocator<N, U2, U1, S>, 

type Target = XY<N>

The resulting type after dereferencing

fn deref(&self) -> &Self::Target

The method called to dereference a value

impl<N: Scalar, S> DerefMut for PointBase<N, U2, S> where
    S: OwnedStorage<N, U2, U1>,
    S::Alloc: OwnedAllocator<N, U2, U1, S>, 

fn deref_mut(&mut self) -> &mut Self::Target

The method called to mutably dereference a value

impl<N: Scalar, S> Deref for PointBase<N, U3, S> where
    S: OwnedStorage<N, U3, U1>,
    S::Alloc: OwnedAllocator<N, U3, U1, S>, 

type Target = XYZ<N>

The resulting type after dereferencing

fn deref(&self) -> &Self::Target

The method called to dereference a value

impl<N: Scalar, S> DerefMut for PointBase<N, U3, S> where
    S: OwnedStorage<N, U3, U1>,
    S::Alloc: OwnedAllocator<N, U3, U1, S>, 

fn deref_mut(&mut self) -> &mut Self::Target

The method called to mutably dereference a value

impl<N: Scalar, S> Deref for PointBase<N, U4, S> where
    S: OwnedStorage<N, U4, U1>,
    S::Alloc: OwnedAllocator<N, U4, U1, S>, 

type Target = XYZW<N>

The resulting type after dereferencing

fn deref(&self) -> &Self::Target

The method called to dereference a value

impl<N: Scalar, S> DerefMut for PointBase<N, U4, S> where
    S: OwnedStorage<N, U4, U1>,
    S::Alloc: OwnedAllocator<N, U4, U1, S>, 

fn deref_mut(&mut self) -> &mut Self::Target

The method called to mutably dereference a value

impl<N: Scalar, S> Deref for PointBase<N, U5, S> where
    S: OwnedStorage<N, U5, U1>,
    S::Alloc: OwnedAllocator<N, U5, U1, S>, 

type Target = XYZWA<N>

The resulting type after dereferencing

fn deref(&self) -> &Self::Target

The method called to dereference a value

impl<N: Scalar, S> DerefMut for PointBase<N, U5, S> where
    S: OwnedStorage<N, U5, U1>,
    S::Alloc: OwnedAllocator<N, U5, U1, S>, 

fn deref_mut(&mut self) -> &mut Self::Target

The method called to mutably dereference a value

impl<N: Scalar, S> Deref for PointBase<N, U6, S> where
    S: OwnedStorage<N, U6, U1>,
    S::Alloc: OwnedAllocator<N, U6, U1, S>, 

type Target = XYZWAB<N>

The resulting type after dereferencing

fn deref(&self) -> &Self::Target

The method called to dereference a value

impl<N: Scalar, S> DerefMut for PointBase<N, U6, S> where
    S: OwnedStorage<N, U6, U1>,
    S::Alloc: OwnedAllocator<N, U6, U1, S>, 

fn deref_mut(&mut self) -> &mut Self::Target

The method called to mutably dereference a value

impl<N, D: DimName, S> Axpy<N> for PointBase<N, D, S> where
    N: Scalar + Field,
    S: StorageMut<N, D, U1>, 

fn axpy(&mut self, a: N, x: &Self)

Computes self = a * x + self.