Union geometric_algebra::epga2d::Plane

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pub union Plane {
    /* private fields */
}

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impl Plane

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pub const fn new(e0: f32, e2: f32, e1: f32) -> Self

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pub const fn from_groups(g0: Simd32x3) -> Self

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pub fn group0(&self) -> Simd32x3

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pub fn group0_mut(&mut self) -> &mut Simd32x3

Trait Implementations§

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impl Add<MotorDual> for Plane

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type Output = MotorDual

The resulting type after applying the + operator.
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fn add(self, other: MotorDual) -> MotorDual

Performs the + operation. Read more
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impl Add<MultiVector> for Plane

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type Output = MultiVector

The resulting type after applying the + operator.
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fn add(self, other: MultiVector) -> MultiVector

Performs the + operation. Read more
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impl Add<Plane> for MotorDual

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type Output = MotorDual

The resulting type after applying the + operator.
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fn add(self, other: Plane) -> MotorDual

Performs the + operation. Read more
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impl Add<Plane> for MultiVector

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type Output = MultiVector

The resulting type after applying the + operator.
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fn add(self, other: Plane) -> MultiVector

Performs the + operation. Read more
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impl Add<Plane> for Plane

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type Output = Plane

The resulting type after applying the + operator.
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fn add(self, other: Plane) -> Plane

Performs the + operation. Read more
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impl AddAssign<Plane> for MotorDual

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fn add_assign(&mut self, other: Plane)

Performs the += operation. Read more
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impl AddAssign<Plane> for MultiVector

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fn add_assign(&mut self, other: Plane)

Performs the += operation. Read more
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impl AddAssign<Plane> for Plane

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fn add_assign(&mut self, other: Plane)

Performs the += operation. Read more
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impl Automorphism for Plane

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type Output = Plane

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fn automorphism(self) -> Plane

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impl Clone for Plane

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fn clone(&self) -> Plane

Returns a copy 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 Conjugation for Plane

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type Output = Plane

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fn conjugation(self) -> Plane

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impl Debug for Plane

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

Formats the value using the given formatter. Read more
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impl Div<Plane> for Plane

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type Output = Plane

The resulting type after applying the / operator.
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fn div(self, other: Plane) -> Plane

Performs the / operation. Read more
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impl DivAssign<Plane> for Plane

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fn div_assign(&mut self, other: Plane)

Performs the /= operation. Read more
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impl Dual for Plane

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type Output = Point

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fn dual(self) -> Point

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impl From<[f32; 3]> for Plane

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fn from(array: [f32; 3]) -> Self

Converts to this type from the input type.
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impl From<Plane> for [f32; 3]

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fn from(vector: Plane) -> Self

Converts to this type from the input type.
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impl GeometricProduct<IdealPoint> for Plane

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type Output = MotorDual

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fn geometric_product(self, other: IdealPoint) -> MotorDual

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impl GeometricProduct<Motor> for Plane

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type Output = MotorDual

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fn geometric_product(self, other: Motor) -> MotorDual

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impl GeometricProduct<MotorDual> for Plane

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type Output = Motor

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fn geometric_product(self, other: MotorDual) -> Motor

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impl GeometricProduct<MultiVector> for Plane

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type Output = MultiVector

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fn geometric_product(self, other: MultiVector) -> MultiVector

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impl GeometricProduct<Plane> for IdealPoint

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type Output = MotorDual

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fn geometric_product(self, other: Plane) -> MotorDual

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impl GeometricProduct<Plane> for Motor

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type Output = MotorDual

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fn geometric_product(self, other: Plane) -> MotorDual

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impl GeometricProduct<Plane> for MotorDual

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type Output = Motor

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fn geometric_product(self, other: Plane) -> Motor

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impl GeometricProduct<Plane> for MultiVector

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type Output = MultiVector

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fn geometric_product(self, other: Plane) -> MultiVector

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impl GeometricProduct<Plane> for Plane

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type Output = Motor

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fn geometric_product(self, other: Plane) -> Motor

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impl GeometricProduct<Plane> for Point

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type Output = MotorDual

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fn geometric_product(self, other: Plane) -> MotorDual

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impl GeometricProduct<Plane> for Rotor

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type Output = MotorDual

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fn geometric_product(self, other: Plane) -> MotorDual

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impl GeometricProduct<Plane> for Translator

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type Output = MotorDual

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fn geometric_product(self, other: Plane) -> MotorDual

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impl GeometricProduct<Plane> for f32

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type Output = Plane

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fn geometric_product(self, other: Plane) -> Plane

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impl GeometricProduct<Point> for Plane

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type Output = MotorDual

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fn geometric_product(self, other: Point) -> MotorDual

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impl GeometricProduct<Rotor> for Plane

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type Output = MotorDual

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fn geometric_product(self, other: Rotor) -> MotorDual

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impl GeometricProduct<Translator> for Plane

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type Output = MotorDual

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fn geometric_product(self, other: Translator) -> MotorDual

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impl GeometricProduct<f32> for Plane

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type Output = Plane

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fn geometric_product(self, other: f32) -> Plane

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impl GeometricQuotient<IdealPoint> for Plane

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type Output = MotorDual

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fn geometric_quotient(self, other: IdealPoint) -> MotorDual

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impl GeometricQuotient<Motor> for Plane

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type Output = MotorDual

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fn geometric_quotient(self, other: Motor) -> MotorDual

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impl GeometricQuotient<MotorDual> for Plane

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type Output = Motor

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fn geometric_quotient(self, other: MotorDual) -> Motor

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impl GeometricQuotient<MultiVector> for Plane

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type Output = MultiVector

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fn geometric_quotient(self, other: MultiVector) -> MultiVector

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impl GeometricQuotient<Plane> for IdealPoint

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type Output = MotorDual

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fn geometric_quotient(self, other: Plane) -> MotorDual

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impl GeometricQuotient<Plane> for Motor

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type Output = MotorDual

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fn geometric_quotient(self, other: Plane) -> MotorDual

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impl GeometricQuotient<Plane> for MotorDual

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type Output = Motor

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fn geometric_quotient(self, other: Plane) -> Motor

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impl GeometricQuotient<Plane> for MultiVector

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type Output = MultiVector

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fn geometric_quotient(self, other: Plane) -> MultiVector

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impl GeometricQuotient<Plane> for Plane

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type Output = Motor

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fn geometric_quotient(self, other: Plane) -> Motor

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impl GeometricQuotient<Plane> for Point

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type Output = MotorDual

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fn geometric_quotient(self, other: Plane) -> MotorDual

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impl GeometricQuotient<Plane> for Rotor

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type Output = MotorDual

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fn geometric_quotient(self, other: Plane) -> MotorDual

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impl GeometricQuotient<Plane> for Translator

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type Output = MotorDual

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fn geometric_quotient(self, other: Plane) -> MotorDual

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impl GeometricQuotient<Plane> for f32

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type Output = Plane

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fn geometric_quotient(self, other: Plane) -> Plane

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impl GeometricQuotient<Point> for Plane

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type Output = MotorDual

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fn geometric_quotient(self, other: Point) -> MotorDual

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impl GeometricQuotient<Rotor> for Plane

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type Output = MotorDual

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fn geometric_quotient(self, other: Rotor) -> MotorDual

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impl GeometricQuotient<Translator> for Plane

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type Output = MotorDual

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fn geometric_quotient(self, other: Translator) -> MotorDual

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impl GeometricQuotient<f32> for Plane

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type Output = Plane

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fn geometric_quotient(self, other: f32) -> Plane

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impl Index<usize> for Plane

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type Output = f32

The returned type after indexing.
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fn index(&self, index: usize) -> &Self::Output

Performs the indexing (container[index]) operation. Read more
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impl IndexMut<usize> for Plane

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

Performs the mutable indexing (container[index]) operation. Read more
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impl InnerProduct<IdealPoint> for Plane

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type Output = Plane

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fn inner_product(self, other: IdealPoint) -> Plane

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impl InnerProduct<Motor> for Plane

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type Output = Plane

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fn inner_product(self, other: Motor) -> Plane

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impl InnerProduct<MotorDual> for Plane

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type Output = Motor

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fn inner_product(self, other: MotorDual) -> Motor

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impl InnerProduct<Plane> for IdealPoint

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type Output = Plane

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fn inner_product(self, other: Plane) -> Plane

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impl InnerProduct<Plane> for Motor

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type Output = Plane

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fn inner_product(self, other: Plane) -> Plane

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impl InnerProduct<Plane> for MotorDual

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type Output = Motor

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fn inner_product(self, other: Plane) -> Motor

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impl InnerProduct<Plane> for Plane

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type Output = f32

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fn inner_product(self, other: Plane) -> f32

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impl InnerProduct<Plane> for Point

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type Output = Plane

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fn inner_product(self, other: Plane) -> Plane

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impl InnerProduct<Plane> for Rotor

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type Output = Plane

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fn inner_product(self, other: Plane) -> Plane

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impl InnerProduct<Plane> for Translator

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type Output = Plane

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fn inner_product(self, other: Plane) -> Plane

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impl InnerProduct<Plane> for f32

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type Output = Plane

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fn inner_product(self, other: Plane) -> Plane

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impl InnerProduct<Point> for Plane

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type Output = Plane

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fn inner_product(self, other: Point) -> Plane

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impl InnerProduct<Rotor> for Plane

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type Output = Plane

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fn inner_product(self, other: Rotor) -> Plane

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impl InnerProduct<Translator> for Plane

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type Output = Plane

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fn inner_product(self, other: Translator) -> Plane

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impl InnerProduct<f32> for Plane

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type Output = Plane

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fn inner_product(self, other: f32) -> Plane

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impl Into<Plane> for MotorDual

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fn into(self) -> Plane

Converts this type into the (usually inferred) input type.
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impl Into<Plane> for MultiVector

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fn into(self) -> Plane

Converts this type into the (usually inferred) input type.
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impl Inverse for Plane

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type Output = Plane

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fn inverse(self) -> Plane

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impl LeftContraction<IdealPoint> for Plane

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type Output = Plane

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fn left_contraction(self, other: IdealPoint) -> Plane

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impl LeftContraction<Motor> for Plane

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type Output = Plane

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fn left_contraction(self, other: Motor) -> Plane

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impl LeftContraction<MotorDual> for Plane

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type Output = Motor

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fn left_contraction(self, other: MotorDual) -> Motor

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impl LeftContraction<Plane> for Motor

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type Output = Plane

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fn left_contraction(self, other: Plane) -> Plane

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impl LeftContraction<Plane> for MotorDual

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type Output = f32

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fn left_contraction(self, other: Plane) -> f32

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impl LeftContraction<Plane> for Plane

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type Output = f32

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fn left_contraction(self, other: Plane) -> f32

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impl LeftContraction<Plane> for Rotor

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type Output = Plane

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fn left_contraction(self, other: Plane) -> Plane

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impl LeftContraction<Plane> for Translator

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type Output = Plane

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fn left_contraction(self, other: Plane) -> Plane

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impl LeftContraction<Plane> for f32

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type Output = Plane

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fn left_contraction(self, other: Plane) -> Plane

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impl LeftContraction<Point> for Plane

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type Output = Plane

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fn left_contraction(self, other: Point) -> Plane

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impl LeftContraction<Translator> for Plane

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type Output = Plane

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fn left_contraction(self, other: Translator) -> Plane

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impl Magnitude for Plane

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type Output = f32

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fn magnitude(self) -> f32

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impl Mul<Plane> for Plane

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type Output = Plane

The resulting type after applying the * operator.
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fn mul(self, other: Plane) -> Plane

Performs the * operation. Read more
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impl Mul<f32> for Plane

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type Output = Plane

The resulting type after applying the * operator.
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fn mul(self, other: f32) -> Plane

Performs the * operation. Read more
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impl MulAssign<Plane> for Plane

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fn mul_assign(&mut self, other: Plane)

Performs the *= operation. Read more
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impl MulAssign<f32> for Plane

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fn mul_assign(&mut self, other: f32)

Performs the *= operation. Read more
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impl Neg for Plane

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type Output = Plane

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

Performs the unary - operation. Read more
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impl One for Plane

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fn one() -> Self

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impl OuterProduct<Motor> for Plane

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type Output = MotorDual

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fn outer_product(self, other: Motor) -> MotorDual

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impl OuterProduct<MotorDual> for Plane

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type Output = Point

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fn outer_product(self, other: MotorDual) -> Point

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impl OuterProduct<Plane> for Motor

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type Output = MotorDual

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fn outer_product(self, other: Plane) -> MotorDual

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impl OuterProduct<Plane> for MotorDual

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type Output = Point

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fn outer_product(self, other: Plane) -> Point

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impl OuterProduct<Plane> for Plane

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type Output = Point

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fn outer_product(self, other: Plane) -> Point

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impl OuterProduct<Plane> for Rotor

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type Output = MotorDual

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fn outer_product(self, other: Plane) -> MotorDual

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impl OuterProduct<Plane> for Translator

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type Output = MotorDual

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fn outer_product(self, other: Plane) -> MotorDual

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impl OuterProduct<Plane> for f32

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type Output = Plane

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fn outer_product(self, other: Plane) -> Plane

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impl OuterProduct<Rotor> for Plane

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type Output = MotorDual

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fn outer_product(self, other: Rotor) -> MotorDual

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impl OuterProduct<Translator> for Plane

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type Output = MotorDual

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fn outer_product(self, other: Translator) -> MotorDual

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impl OuterProduct<f32> for Plane

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type Output = Plane

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fn outer_product(self, other: f32) -> Plane

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impl RegressiveProduct<IdealPoint> for Plane

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type Output = f32

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fn regressive_product(self, other: IdealPoint) -> f32

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impl RegressiveProduct<Motor> for Plane

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type Output = f32

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fn regressive_product(self, other: Motor) -> f32

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impl RegressiveProduct<MotorDual> for Plane

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type Output = Plane

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fn regressive_product(self, other: MotorDual) -> Plane

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impl RegressiveProduct<Plane> for IdealPoint

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type Output = f32

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fn regressive_product(self, other: Plane) -> f32

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impl RegressiveProduct<Plane> for Motor

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type Output = f32

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fn regressive_product(self, other: Plane) -> f32

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impl RegressiveProduct<Plane> for MotorDual

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type Output = Plane

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fn regressive_product(self, other: Plane) -> Plane

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impl RegressiveProduct<Plane> for Point

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type Output = f32

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fn regressive_product(self, other: Plane) -> f32

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impl RegressiveProduct<Plane> for Rotor

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type Output = f32

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fn regressive_product(self, other: Plane) -> f32

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impl RegressiveProduct<Plane> for Translator

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type Output = f32

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fn regressive_product(self, other: Plane) -> f32

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impl RegressiveProduct<Point> for Plane

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type Output = f32

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fn regressive_product(self, other: Point) -> f32

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impl RegressiveProduct<Rotor> for Plane

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type Output = f32

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fn regressive_product(self, other: Rotor) -> f32

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impl RegressiveProduct<Translator> for Plane

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type Output = f32

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fn regressive_product(self, other: Translator) -> f32

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impl Reversal for Plane

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type Output = Plane

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fn reversal(self) -> Plane

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impl RightContraction<Motor> for Plane

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type Output = Plane

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fn right_contraction(self, other: Motor) -> Plane

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impl RightContraction<MotorDual> for Plane

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type Output = f32

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fn right_contraction(self, other: MotorDual) -> f32

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impl RightContraction<Plane> for IdealPoint

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type Output = Plane

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fn right_contraction(self, other: Plane) -> Plane

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impl RightContraction<Plane> for Motor

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type Output = Plane

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fn right_contraction(self, other: Plane) -> Plane

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impl RightContraction<Plane> for MotorDual

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type Output = Motor

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fn right_contraction(self, other: Plane) -> Motor

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impl RightContraction<Plane> for Plane

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type Output = f32

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fn right_contraction(self, other: Plane) -> f32

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impl RightContraction<Plane> for Point

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type Output = Plane

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fn right_contraction(self, other: Plane) -> Plane

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impl RightContraction<Plane> for Translator

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type Output = Plane

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fn right_contraction(self, other: Plane) -> Plane

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impl RightContraction<Rotor> for Plane

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type Output = Plane

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fn right_contraction(self, other: Rotor) -> Plane

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impl RightContraction<Translator> for Plane

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type Output = Plane

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fn right_contraction(self, other: Translator) -> Plane

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impl RightContraction<f32> for Plane

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type Output = Plane

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fn right_contraction(self, other: f32) -> Plane

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impl ScalarProduct<MotorDual> for Plane

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type Output = f32

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fn scalar_product(self, other: MotorDual) -> f32

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impl ScalarProduct<MultiVector> for Plane

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type Output = f32

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fn scalar_product(self, other: MultiVector) -> f32

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impl ScalarProduct<Plane> for MotorDual

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type Output = f32

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fn scalar_product(self, other: Plane) -> f32

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impl ScalarProduct<Plane> for MultiVector

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type Output = f32

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fn scalar_product(self, other: Plane) -> f32

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impl ScalarProduct<Plane> for Plane

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type Output = f32

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fn scalar_product(self, other: Plane) -> f32

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impl Signum for Plane

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type Output = Plane

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fn signum(self) -> Plane

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impl SquaredMagnitude for Plane

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type Output = f32

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fn squared_magnitude(self) -> f32

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impl Sub<MotorDual> for Plane

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type Output = MotorDual

The resulting type after applying the - operator.
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fn sub(self, other: MotorDual) -> MotorDual

Performs the - operation. Read more
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impl Sub<MultiVector> for Plane

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type Output = MultiVector

The resulting type after applying the - operator.
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fn sub(self, other: MultiVector) -> MultiVector

Performs the - operation. Read more
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impl Sub<Plane> for MotorDual

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type Output = MotorDual

The resulting type after applying the - operator.
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fn sub(self, other: Plane) -> MotorDual

Performs the - operation. Read more
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impl Sub<Plane> for MultiVector

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type Output = MultiVector

The resulting type after applying the - operator.
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fn sub(self, other: Plane) -> MultiVector

Performs the - operation. Read more
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impl Sub<Plane> for Plane

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type Output = Plane

The resulting type after applying the - operator.
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fn sub(self, other: Plane) -> Plane

Performs the - operation. Read more
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impl SubAssign<Plane> for MotorDual

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fn sub_assign(&mut self, other: Plane)

Performs the -= operation. Read more
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impl SubAssign<Plane> for MultiVector

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fn sub_assign(&mut self, other: Plane)

Performs the -= operation. Read more
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impl SubAssign<Plane> for Plane

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fn sub_assign(&mut self, other: Plane)

Performs the -= operation. Read more
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impl Transformation<IdealPoint> for Plane

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type Output = IdealPoint

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fn transformation(self, other: IdealPoint) -> IdealPoint

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impl Transformation<Motor> for Plane

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type Output = Motor

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fn transformation(self, other: Motor) -> Motor

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impl Transformation<MotorDual> for Plane

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type Output = MotorDual

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fn transformation(self, other: MotorDual) -> MotorDual

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impl Transformation<MultiVector> for Plane

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type Output = MultiVector

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fn transformation(self, other: MultiVector) -> MultiVector

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impl Transformation<Plane> for IdealPoint

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for Motor

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for MotorDual

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for MultiVector

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for Plane

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for Point

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for Rotor

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for Translator

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Plane> for f32

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type Output = Plane

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fn transformation(self, other: Plane) -> Plane

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impl Transformation<Point> for Plane

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type Output = Point

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fn transformation(self, other: Point) -> Point

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impl Transformation<Rotor> for Plane

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type Output = Rotor

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fn transformation(self, other: Rotor) -> Rotor

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impl Transformation<Translator> for Plane

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type Output = Translator

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fn transformation(self, other: Translator) -> Translator

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impl Transformation<f32> for Plane

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type Output = f32

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fn transformation(self, other: f32) -> f32

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impl Zero for Plane

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fn zero() -> Self

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impl Copy for Plane

Auto Trait Implementations§

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impl RefUnwindSafe for Plane

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impl Send for Plane

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impl Sync for Plane

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impl Unpin for Plane

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impl UnwindSafe for Plane

Blanket Implementations§

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impl<T> Any for Twhere 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 Twhere 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 Twhere 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> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere 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 Twhere 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 Twhere 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 Twhere 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.