pub struct ConvexPolygon<N>where
    N: RealField + Copy,{ /* private fields */ }
Expand description

A 2D convex polygon.

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impl<N> ConvexPolygon<N>where N: RealField + Copy,

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pub fn try_from_points( points: &[OPoint<N, Const<2>>] ) -> Option<ConvexPolygon<N>>

Creates a new 2D convex polygon from an arbitrary set of points.

This explicitly computes the convex hull of the given set of points. Use Returns None if the convex hull computation failed.

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pub fn try_new( points: Vec<OPoint<N, Const<2>>, Global> ) -> Option<ConvexPolygon<N>>

Creates a new 2D convex polygon from a set of points assumed to describe a counter-clockwise convex polyline.

Convexity of the input polyline is not checked. Returns None if some consecutive points are identical (or too close to being so).

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pub fn points(&self) -> &[OPoint<N, Const<2>>]

The vertices of this convex polygon.

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pub fn normals( &self ) -> &[Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>>]

The normals of the edges of this convex polygon.

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pub fn tangent_cone_contains_dir( &self, feature: FeatureId, m: &Isometry<N, Unit<Complex<N>>, 2>, dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>> ) -> bool

Checks that the given direction in world-space is on the tangent cone of the given feature.

Trait Implementations§

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impl<N> Clone for ConvexPolygon<N>where N: Clone + RealField + Copy,

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fn clone(&self) -> ConvexPolygon<N>

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<N> ConvexPolyhedron<N> for ConvexPolygon<N>where N: RealField + Copy,

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fn vertex(&self, id: FeatureId) -> OPoint<N, Const<2>>

Gets the specified vertex in the shape local-space.
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fn face(&self, id: FeatureId, out: &mut ConvexPolygonalFeature<N>)

Fill face with the geometric description of the specified face, in the shape’s local-space.
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fn feature_normal( &self, feature: FeatureId ) -> Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>>

Returns any normal from the normal cone of the given feature.
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fn support_face_toward( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>>, out: &mut ConvexPolygonalFeature<N> )

Retrieve the face (in world-space) with a normal that maximizes the scalar product with dir.
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fn support_feature_toward( &self, transform: &Isometry<N, Unit<Complex<N>>, 2>, dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>>, _angle: N, out: &mut ConvexPolygonalFeature<N> )

Retrieve the feature (in world-space) which normal cone contains dir.
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fn support_feature_id_toward( &self, local_dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>> ) -> FeatureId

Retrieve the identifier of the feature which normal cone contains dir.
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impl<N> Debug for ConvexPolygon<N>where N: Debug + RealField + Copy,

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

Formats the value using the given formatter. Read more
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impl<'de, N> Deserialize<'de> for ConvexPolygon<N>where N: RealField + Copy + Deserialize<'de>,

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fn deserialize<__D>( __deserializer: __D ) -> Result<ConvexPolygon<N>, <__D as Deserializer<'de>>::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<N> HasBoundingVolume<N, AABB<N>> for ConvexPolygon<N>where N: RealField + Copy,

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fn bounding_volume(&self, m: &Isometry<N, Unit<Complex<N>>, 2>) -> AABB<N>

The bounding volume of self transformed by m.
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fn local_bounding_volume(&self) -> AABB<N>

The bounding volume of self.
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impl<N> HasBoundingVolume<N, BoundingSphere<N>> for ConvexPolygon<N>where N: RealField + Copy,

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fn bounding_volume( &self, m: &Isometry<N, Unit<Complex<N>>, 2> ) -> BoundingSphere<N>

The bounding volume of self transformed by m.
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fn local_bounding_volume(&self) -> BoundingSphere<N>

The bounding volume of self.
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impl<N> PointQuery<N> for ConvexPolygon<N>where N: RealField + Copy,

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fn project_point( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, point: &OPoint<N, Const<2>>, solid: bool ) -> PointProjection<N>

Projects a point on self transformed by m.
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fn project_point_with_feature( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, point: &OPoint<N, Const<2>> ) -> (PointProjection<N>, FeatureId)

Projects a point on the boundary of self transformed by m and retuns the id of the feature the point was projected on.
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fn distance_to_point( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, pt: &OPoint<N, Const<2>>, solid: bool ) -> N

Computes the minimal distance between a point and self transformed by m.
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fn contains_point( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, pt: &OPoint<N, Const<2>> ) -> bool

Tests if the given point is inside of self transformed by m.
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impl<N> RayCast<N> for ConvexPolygon<N>where N: RealField + Copy,

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fn toi_and_normal_with_ray( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, ray: &Ray<N>, max_toi: N, solid: bool ) -> Option<RayIntersection<N>>

Computes the time of impact, and normal between this transformed shape and a ray.
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fn toi_with_ray( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, ray: &Ray<N>, max_toi: N, solid: bool ) -> Option<N>

Computes the time of impact between this transform shape and a ray.
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fn intersects_ray( &self, m: &Isometry<N, Unit<Complex<N>>, 2>, ray: &Ray<N>, max_toi: N ) -> bool

Tests whether a ray intersects this transformed shape.
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impl<N> Serialize for ConvexPolygon<N>where N: RealField + Copy + Serialize,

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fn serialize<__S>( &self, __serializer: __S ) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<N> Shape<N> for ConvexPolygon<N>where N: RealField + Copy,

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fn aabb(&self, m: &Isometry<N, Unit<Complex<N>>, 2>) -> AABB<N>

The AABB of self transformed by m.
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fn local_aabb(&self) -> AABB<N>

The AABB of self.
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fn bounding_sphere( &self, m: &Isometry<N, Unit<Complex<N>>, 2> ) -> BoundingSphere<N>

The bounding sphere of self transformed by m.
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fn as_ray_cast(&self) -> Option<&dyn RayCast<N>>

The RayCast implementation of self.
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fn as_point_query(&self) -> Option<&dyn PointQuery<N>>

The PointQuery implementation of self.
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fn as_support_map(&self) -> Option<&dyn SupportMap<N>>

The support mapping of self if applicable.
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fn is_support_map(&self) -> bool

Whether self uses a support-mapping based representation.
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fn as_convex_polyhedron(&self) -> Option<&dyn ConvexPolyhedron<N>>

The convex polyhedron representation of self if applicable.
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fn is_convex_polyhedron(&self) -> bool

Whether self uses a convex polyhedron representation.
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fn tangent_cone_contains_dir( &self, feature: FeatureId, m: &Isometry<N, Unit<Complex<N>>, 2>, _: Option<&[N]>, dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>> ) -> bool

Check if if the feature _feature of the i-th subshape of self transformed by m has a tangent cone that contains dir at the point pt.
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fn local_bounding_sphere(&self) -> BoundingSphere<N>

The bounding sphere of self.
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fn subshape_containing_feature(&self, _i: FeatureId) -> usize

Returns the id of the subshape containing the specified feature. Read more
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fn as_composite_shape(&self) -> Option<&dyn CompositeShape<N>>

The composite shape representation of self if applicable.
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fn as_deformable_shape(&self) -> Option<&dyn DeformableShape<N>>

The deformable shape representation of self if applicable.
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fn as_deformable_shape_mut(&mut self) -> Option<&mut dyn DeformableShape<N>>

The mutable deformable shape representation of self if applicable.
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fn is_composite_shape(&self) -> bool

Whether self uses a composite shape-based representation.
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fn is_deformable_shape(&self) -> bool

Whether self uses a composite shape-based representation.
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impl<N> SupportMap<N> for ConvexPolygon<N>where N: RealField + Copy,

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fn local_support_point( &self, dir: &Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>> ) -> OPoint<N, Const<2>>

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fn local_support_point_toward( &self, dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>> ) -> OPoint<N, Const<2>>

Same as self.local_support_point except that dir is normalized.
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fn support_point( &self, transform: &Isometry<N, Unit<Complex<N>>, 2>, dir: &Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>> ) -> OPoint<N, Const<2>>

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fn support_point_toward( &self, transform: &Isometry<N, Unit<Complex<N>>, 2>, dir: &Unit<Matrix<N, Const<nalgebra::::base::dimension::U2::{constant#0}>, Const<1>, ArrayStorage<N, 2, 1>>> ) -> OPoint<N, Const<2>>

Same as self.support_point except that dir is normalized.
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impl<N> Volumetric<N> for ConvexPolygon<N>where N: RealField + Copy,

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fn area(&self) -> N

Computes the area of this object.
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fn volume(&self) -> N

Computes the volume of this object.
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fn center_of_mass(&self) -> OPoint<N, Const<2>>

Computes the center of mass of this object.
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fn unit_angular_inertia( &self ) -> Matrix<N, Const<1>, Const<1>, ArrayStorage<N, 1, 1>>

Computes the angular inertia tensor of this object.
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fn mass_properties( &self, density: N ) -> (N, OPoint<N, Const<2>>, Matrix<N, Const<1>, Const<1>, ArrayStorage<N, 1, 1>>)

Given its density, this computes the mass, center of mass, and inertia tensor of this object.
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fn mass(&self, density: N) -> N

Given its density, this computes the mass of this object.
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fn angular_inertia( &self, mass: N ) -> Matrix<N, Const<1>, Const<1>, ArrayStorage<N, 1, 1>>

Given its mass, this computes the angular inertia of this object.
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fn transformed_mass_properties( &self, density: N, pos: &Isometry<N, Unit<Complex<N>>, 2> ) -> (OPoint<N, Const<2>>, Inertia2<N>)

Given its density and position, this computes the mass, transformed center of mass, and transformed inertia tensor of this object.
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fn inertia(&self, density: N) -> Inertia2<N>

Auto Trait Implementations§

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impl<N> RefUnwindSafe for ConvexPolygon<N>where N: RefUnwindSafe,

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impl<N> Send for ConvexPolygon<N>

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impl<N> Sync for ConvexPolygon<N>

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impl<N> Unpin for ConvexPolygon<N>where N: Unpin,

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impl<N> UnwindSafe for ConvexPolygon<N>where N: UnwindSafe,

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> Downcast for Twhere T: Any,

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fn into_any(self: Box<T, Global>) -> Box<dyn Any, Global>

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
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fn into_any_rc(self: Rc<T, Global>) -> Rc<dyn Any, Global>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
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fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
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impl<T> DowncastSync for Twhere T: Any + Send + Sync,

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fn into_any_arc(self: Arc<T, Global>) -> Arc<dyn Any + Send + Sync, Global>

Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.
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impl<T> Finalize for T

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unsafe fn finalize_raw(data: *mut ())

Safety 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> 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.
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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.
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impl<T> UserData for Twhere T: Clone + Any + Send + Sync,

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fn clone_boxed(&self) -> Box<dyn UserData, Global>

Clone this trait-object.
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Clone as its super-trait trait objects.
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fn as_any(&self) -> &(dyn Any + Send + Sync + 'static)

Downcast to Any.
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