pub struct HalfSpace<T: Scalar, D: DimName = U3>where
    DefaultAllocator: Allocator<T, D>,
{ /* private fields */ }
Expand description

A $D$-dimensional half space.

A half space is defined by a point $\vec x$ and a normalized unit vector (normal) $\vec n$. The points belonging to the half space is then given by the points $\vec y$ that satisfy

$$ (\vec y - \vec x) \cdot \vec n \leq 0. $$

Implementations§

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impl<T, D> HalfSpace<T, D>where
    T: Real,
    D: DimName,
    DefaultAllocator: Allocator<T, D>,

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pub fn signed_distance_to_point(&self, point: &OPoint<T, D>) -> T

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pub fn contains_point(&self, point: &OPoint<T, D>) -> bool

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pub fn from_point_and_normal(
    point: OPoint<T, D>,
    normal: Unit<OVector<T, D>>
) -> Self

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pub fn point(&self) -> &OPoint<T, D>

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pub fn normal(&self) -> &OVector<T, D>

Returns the outwards-facing normal vector for the plane.

This vector is normalized.

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pub fn complement(&self) -> Self

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impl<T> HalfSpace<T>where
    T: Real,

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pub fn plane(&self) -> Plane<T>

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pub fn from_plane(plane: &Plane<T>) -> Self

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impl<T> HalfSpace<T, Const<2>>where
    T: Real,

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pub fn surface(&self) -> Line2d<T>

Returns a line representing the surface of the half plane

Trait Implementations§

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impl<T: Clone + Scalar, D: Clone + DimName> Clone for HalfSpace<T, D>where
    DefaultAllocator: Allocator<T, D>,

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fn clone(&self) -> HalfSpace<T, D>

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<T: Debug + Scalar, D: Debug + DimName> Debug for HalfSpace<T, D>where
    DefaultAllocator: Allocator<T, D>,

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

Formats the value using the given formatter. Read more
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impl<T: PartialEq + Scalar, D: PartialEq + DimName> PartialEq<HalfSpace<T, D>> for HalfSpace<T, D>where
    DefaultAllocator: Allocator<T, D>,

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

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T: Scalar, D: DimName> StructuralPartialEq for HalfSpace<T, D>where
    DefaultAllocator: Allocator<T, D>,

Auto Trait Implementations§

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impl<T, D = Const<3>> !RefUnwindSafe for HalfSpace<T, D>

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impl<T, D = Const<3>> !Send for HalfSpace<T, D>

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impl<T, D = Const<3>> !Sync for HalfSpace<T, D>

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impl<T, D = Const<3>> !Unpin for HalfSpace<T, D>

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impl<T, D = Const<3>> !UnwindSafe for HalfSpace<T, D>

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,

const: unstable · source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere
    T: ?Sized,

const: unstable · source§

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

const: unstable · source§

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere
    U: From<T>,

const: unstable · source§

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> Same<T> for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SPwhere
    SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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.
const: unstable · source§

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.
const: unstable · source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> Scalar for Twhere
    T: 'static + Clone + PartialEq<T> + Debug,