Struct Center 

pub struct Center<K: Scalar = f64> {
    pub t: K,
    pub x: K,
    pub y: K,
}

A center of some transformation in ℍ²: a point, ideal point, or line.

Fields

t: K

x: K

y: K

Implementations

impl<K: Scalar> Center<K>

pub fn classify(self) -> CenterKind<K>

Determine the kind of center.

In the case an operation gives a generic center object where you expect otherwise, see that individual operation for specific interpretations of each result. e.g. the intersection of two ultraparallel lines gives their unique common perpendicular.

Trait Implementations

impl<K: Scalar> Add for Center<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Center<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Center<K>> for WeightedPoint<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Center<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Center<K>> for Point<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Center<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Center<K>> for IdealPoint<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Center<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Center<K>> for WeightedLine<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Center<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Center<K>> for Line<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Center<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<IdealPoint<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: IdealPoint<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Line<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Line<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<Point<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: Point<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<WeightedLine<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: WeightedLine<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> Add<WeightedPoint<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the + operator.

fn add(self, other: WeightedPoint<K>) -> Self::Output

Performs the + operation.

impl<K: Scalar> AddAssign for Center<K>

fn add_assign(&mut self, other: Center<K>)

Performs the += operation.

impl<K: Scalar> AddAssign<IdealPoint<K>> for Center<K>

fn add_assign(&mut self, other: IdealPoint<K>)

Performs the += operation.

impl<K: Scalar> AddAssign<Line<K>> for Center<K>

fn add_assign(&mut self, other: Line<K>)

Performs the += operation.

impl<K: Scalar> AddAssign<Point<K>> for Center<K>

fn add_assign(&mut self, other: Point<K>)

Performs the += operation.

impl<K: Scalar> AddAssign<WeightedLine<K>> for Center<K>

fn add_assign(&mut self, other: WeightedLine<K>)

Performs the += operation.

impl<K: Scalar> AddAssign<WeightedPoint<K>> for Center<K>

fn add_assign(&mut self, other: WeightedPoint<K>)

Performs the += operation.

impl<K: Clone + Scalar> Clone for Center<K>

fn clone(&self) -> Center<K>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<K: Copy + Scalar> Copy for Center<K>

impl<K: Debug + Scalar> Debug for Center<K>

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

Formats the value using the given formatter.

impl<K: Scalar> From<IdealPoint<K>> for Center<K>

fn from(value: IdealPoint<K>) -> Self

Converts to this type from the input type.

impl<K: Scalar> From<Line<K>> for Center<K>

fn from(value: Line<K>) -> Self

Converts to this type from the input type.

impl<K: Scalar> From<Point<K>> for Center<K>

fn from(value: Point<K>) -> Self

Converts to this type from the input type.

impl<K: Scalar> From<WeightedLine<K>> for Center<K>

fn from(value: WeightedLine<K>) -> Self

Converts to this type from the input type.

impl<K: Scalar> From<WeightedPoint<K>> for Center<K>

fn from(value: WeightedPoint<K>) -> Self

Converts to this type from the input type.

impl<K: Scalar> Mul<K> for Center<K>

type Output = Center<K>

The resulting type after applying the * operator.

fn mul(self, other: K) -> Self::Output

Performs the * operation.

impl<K: Scalar> MulAssign<K> for Center<K>

fn mul_assign(&mut self, other: K)

Performs the *= operation.

impl<K: Scalar> Multivector for Center<K>

const HAS_T: bool = true

Whether the t component is ever non-zero for this type.

const HAS_X: bool = true

Whether the x component is ever non-zero for this type.

const HAS_Y: bool = true

Whether the y component is ever non-zero for this type.

const UNITIZED: bool = false

Whether elements of this type are always unitized up to rounding. i.e. x.antidot(x) always approximately equals ±1.

type K = K

Scalar type for this multivector. The type of each component.

fn t(self) -> K

The t component.

fn x(self) -> K

The x component.

fn y(self) -> K

The y component.

fn from_all_components(components: [K; 8]) -> Self

Collect a value of Self from the relevant components.

const HAS_K: bool = false

Whether the k (scalar) component is ever non-zero for this type.

const HAS_TX: bool = false

Whether the tx component is ever non-zero for this type.

const HAS_TY: bool = false

Whether the ty component is ever non-zero for this type.

const HAS_XY: bool = false

Whether the xy component is ever non-zero for this type.

const HAS_TXY: bool = false

Whether the txy component is ever non-zero for this type.

fn k(self) -> Self::K

The k (scalar) component.

fn tx(self) -> Self::K

The tx component.

fn ty(self) -> Self::K

The ty component.

fn xy(self) -> Self::K

The xy component.

fn txy(self) -> Self::K

The txy component.

fn dot<M: Multivector<K = Self::K>>(self, rhs: M) -> Self::K

The dot product self ∙ rhs.

fn antidot<M: Multivector<K = Self::K>>(self, rhs: M) -> Self::K

The antidot product self ∘ rhs.

impl<K: Scalar> Sub for Center<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Center<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Center<K>> for WeightedPoint<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Center<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Center<K>> for Point<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Center<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Center<K>> for IdealPoint<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Center<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Center<K>> for WeightedLine<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Center<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Center<K>> for Line<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Center<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<IdealPoint<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: IdealPoint<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Line<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Line<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<Point<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: Point<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<WeightedLine<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: WeightedLine<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> Sub<WeightedPoint<K>> for Center<K>

type Output = Center<K>

The resulting type after applying the - operator.

fn sub(self, other: WeightedPoint<K>) -> Self::Output

Performs the - operation.

impl<K: Scalar> SubAssign for Center<K>

fn sub_assign(&mut self, other: Center<K>)

Performs the -= operation.

impl<K: Scalar> SubAssign<IdealPoint<K>> for Center<K>

fn sub_assign(&mut self, other: IdealPoint<K>)

Performs the -= operation.

impl<K: Scalar> SubAssign<Line<K>> for Center<K>

fn sub_assign(&mut self, other: Line<K>)

Performs the -= operation.

impl<K: Scalar> SubAssign<Point<K>> for Center<K>

fn sub_assign(&mut self, other: Point<K>)

Performs the -= operation.

impl<K: Scalar> SubAssign<WeightedLine<K>> for Center<K>

fn sub_assign(&mut self, other: WeightedLine<K>)

Performs the -= operation.

impl<K: Scalar> SubAssign<WeightedPoint<K>> for Center<K>

fn sub_assign(&mut self, other: WeightedPoint<K>)

Performs the -= operation.