# Struct bevy::math::primitives::RegularPolygon

``````pub struct RegularPolygon {
pub circumcircle: Circle,
pub sides: usize,
}``````
Expand description

A polygon where all vertices lie on a circle, equally far apart.

## Fields§

§`circumcircle: Circle`

The circumcircle on which all vertices lie

§`sides: usize`

The number of sides

## Implementations§

§

### impl RegularPolygon

#### pub fn new(circumradius: f32, sides: usize) -> RegularPolygon

Create a new `RegularPolygon` from the radius of the circumcircle and a number of sides

##### §Panics

Panics if `circumradius` is negative

##### Examples found in repository?
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```
``````    fn from_world(world: &mut World) -> Self {
Self {
triangle: world
.into(),
}
}``````
More examples
examples/2d/2d_shapes.rs (line 34)
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```
``````fn setup(
mut commands: Commands,
mut meshes: ResMut<Assets<Mesh>>,
mut materials: ResMut<Assets<ColorMaterial>>,
) {
commands.spawn(Camera2dBundle::default());

let shapes = [
Vec2::Y * 50.0,
Vec2::new(-50.0, -50.0),
Vec2::new(50.0, -50.0),
))),
];
let num_shapes = shapes.len();

for (i, shape) in shapes.into_iter().enumerate() {
// Distribute colors evenly across the rainbow.
let color = Color::hsl(360. * i as f32 / num_shapes as f32, 0.95, 0.7);

commands.spawn(MaterialMesh2dBundle {
mesh: shape,
transform: Transform::from_xyz(
// Distribute shapes from -X_EXTENT/2 to +X_EXTENT/2.
-X_EXTENT / 2. + i as f32 / (num_shapes - 1) as f32 * X_EXTENT,
0.0,
0.0,
),
..default()
});
}

commands.spawn(
TextBundle::from_section("Press space to toggle wireframes", TextStyle::default())
.with_style(Style {
position_type: PositionType::Absolute,
top: Val::Px(12.0),
left: Val::Px(12.0),
..default()
}),
);
}``````
examples/2d/bloom_2d.rs (line 60)
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```
``````fn setup(
mut commands: Commands,
mut meshes: ResMut<Assets<Mesh>>,
mut materials: ResMut<Assets<ColorMaterial>>,
asset_server: Res<AssetServer>,
) {
commands.spawn((
Camera2dBundle {
camera: Camera {
hdr: true, // 1. HDR is required for bloom
..default()
},
tonemapping: Tonemapping::TonyMcMapface, // 2. Using a tonemapper that desaturates to white is recommended
..default()
},
BloomSettings::default(), // 3. Enable bloom for the camera
));

// Sprite
commands.spawn(SpriteBundle {
sprite: Sprite {
color: Color::srgb(5.0, 5.0, 5.0), // 4. Put something bright in a dark environment to see the effect
custom_size: Some(Vec2::splat(160.0)),
..default()
},
..default()
});

// Circle mesh
commands.spawn(MaterialMesh2dBundle {
// 4. Put something bright in a dark environment to see the effect
transform: Transform::from_translation(Vec3::new(-200., 0., 0.)),
..default()
});

// Hexagon mesh
commands.spawn(MaterialMesh2dBundle {
// 4. Put something bright in a dark environment to see the effect
transform: Transform::from_translation(Vec3::new(200., 0., 0.)),
..default()
});

// UI
commands.spawn(
TextBundle::from_section("", TextStyle::default()).with_style(Style {
position_type: PositionType::Absolute,
bottom: Val::Px(12.0),
left: Val::Px(12.0),
..default()
}),
);
}``````
examples/2d/bounding_2d.rs (line 263)
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```
``````fn setup(mut commands: Commands) {
commands.spawn(Camera2dBundle::default());
commands.spawn((
SpatialBundle {
transform: Transform::from_xyz(-OFFSET_X, OFFSET_Y, 0.),
..default()
},
Shape::Circle(Circle::new(45.)),
DesiredVolume::Aabb,
Intersects::default(),
));

commands.spawn((
SpatialBundle {
transform: Transform::from_xyz(0., OFFSET_Y, 0.),
..default()
},
Shape::Rectangle(Rectangle::new(80., 80.)),
Spin,
DesiredVolume::Circle,
Intersects::default(),
));

commands.spawn((
SpatialBundle {
transform: Transform::from_xyz(OFFSET_X, OFFSET_Y, 0.),
..default()
},
Shape::Triangle(Triangle2d::new(
Vec2::new(-40., -40.),
Vec2::new(-20., 40.),
Vec2::new(40., 50.),
)),
Spin,
DesiredVolume::Aabb,
Intersects::default(),
));

commands.spawn((
SpatialBundle {
transform: Transform::from_xyz(-OFFSET_X, -OFFSET_Y, 0.),
..default()
},
Shape::Line(Segment2d::new(Dir2::from_xy(1., 0.3).unwrap(), 90.)),
Spin,
DesiredVolume::Circle,
Intersects::default(),
));

commands.spawn((
SpatialBundle {
transform: Transform::from_xyz(0., -OFFSET_Y, 0.),
..default()
},
Shape::Capsule(Capsule2d::new(25., 50.)),
Spin,
DesiredVolume::Aabb,
Intersects::default(),
));

commands.spawn((
SpatialBundle {
transform: Transform::from_xyz(OFFSET_X, -OFFSET_Y, 0.),
..default()
},
Shape::Polygon(RegularPolygon::new(50., 6)),
Spin,
DesiredVolume::Circle,
Intersects::default(),
));

commands.spawn(
TextBundle::from_section("", TextStyle::default()).with_style(Style {
position_type: PositionType::Absolute,
bottom: Val::Px(12.0),
left: Val::Px(12.0),
..default()
}),
);
}``````

#### pub fn circumradius(&self) -> f32

Get the radius of the circumcircle on which all vertices of the regular polygon lie

#### pub fn inradius(&self) -> f32

Get the inradius or apothem of the regular polygon. This is the radius of the largest circle that can be drawn within the polygon

#### pub fn side_length(&self) -> f32

Get the length of one side of the regular polygon

#### pub fn internal_angle_degrees(&self) -> f32

Get the internal angle of the regular polygon in degrees.

This is the angle formed by two adjacent sides with points within the angle being in the interior of the polygon

#### pub fn internal_angle_radians(&self) -> f32

Get the internal angle of the regular polygon in radians.

This is the angle formed by two adjacent sides with points within the angle being in the interior of the polygon

#### pub fn external_angle_degrees(&self) -> f32

Get the external angle of the regular polygon in degrees.

This is the angle formed by two adjacent sides with points within the angle being in the exterior of the polygon

#### pub fn external_angle_radians(&self) -> f32

Get the external angle of the regular polygon in radians.

This is the angle formed by two adjacent sides with points within the angle being in the exterior of the polygon

#### pub fn vertices(self, rotation: f32) -> impl IntoIterator<Item = Vec2>

Returns an iterator over the vertices of the regular polygon, rotated counterclockwise by the given angle in radians.

With a rotation of 0, a vertex will be placed at the top `(0.0, circumradius)`.

## Trait Implementations§

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### impl Bounded2d for RegularPolygon

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#### fn aabb_2d(&self, translation: Vec2, rotation: impl Into<Rot2>) -> Aabb2d

Get an axis-aligned bounding box for the shape with the given translation and rotation. The rotation is in radians, counterclockwise, with 0 meaning no rotation.
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#### fn bounding_circle( &self, translation: Vec2, _rotation: impl Into<Rot2>, ) -> BoundingCircle

Get a bounding circle for the shape The rotation is in radians, counterclockwise, with 0 meaning no rotation.
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### impl BoundedExtrusion for RegularPolygon

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#### fn extrusion_aabb_3d( &self, half_depth: f32, translation: Vec3, rotation: Quat, ) -> Aabb3d

Get an axis-aligned bounding box for an extrusion with this shape as a base and the given `half_depth`, transformed by the given `translation` and `rotation`.
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#### fn extrusion_bounding_sphere( &self, half_depth: f32, translation: Vec3, rotation: Quat, ) -> BoundingSphere

Get a bounding sphere for an extrusion of the `base_shape` with the given `half_depth` with the given translation and rotation
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### impl Clone for RegularPolygon

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#### fn clone(&self) -> RegularPolygon

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 Debug for RegularPolygon

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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 Default for RegularPolygon

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#### fn default() -> RegularPolygon

Returns the default `RegularPolygon` with six sides (a hexagon) and a circumradius of `0.5`.

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### impl<'de> Deserialize<'de> for RegularPolygon

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

Deserialize this value from the given Serde deserializer. Read more
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### impl From<RegularPolygon> for Mesh

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#### fn from(polygon: RegularPolygon) -> Mesh

Converts to this type from the input type.
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### impl FromReflect for RegularPolygonwhere RegularPolygon: Any + Send + Sync, Circle: FromReflect + TypePath + RegisterForReflection, usize: FromReflect + TypePath + RegisterForReflection,

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#### fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<RegularPolygon>

Constructs a concrete instance of `Self` from a reflected value.
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#### fn take_from_reflect( reflect: Box<dyn Reflect>, ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to `Self` using, constructing the value using `from_reflect` if that fails. Read more
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### impl GetTypeRegistration for RegularPolygonwhere RegularPolygon: Any + Send + Sync, Circle: FromReflect + TypePath + RegisterForReflection, usize: FromReflect + TypePath + RegisterForReflection,

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#### fn get_type_registration() -> TypeRegistration

Returns the default `TypeRegistration` for this type.
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#### fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type. Read more
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### impl<'w, 's, Config, Clear> GizmoPrimitive2d<RegularPolygon> for Gizmos<'w, 's, Config, Clear>where Config: GizmoConfigGroup, Clear: 'static + Send + Sync,

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#### type Output<'a> = ()where Gizmos<'w, 's, Config, Clear>: 'a

The output of `primitive_2d`. This is a builder to set non-default values.
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#### fn primitive_2d( &mut self, primitive: &RegularPolygon, position: Vec2, angle: f32, color: impl Into<Color>, ) -> <Gizmos<'w, 's, Config, Clear> as GizmoPrimitive2d<RegularPolygon>>::Output<'_>

Renders a 2D primitive with its associated details.
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### impl Measured2d for RegularPolygon

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#### fn area(&self) -> f32

Get the area of the regular polygon

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#### fn perimeter(&self) -> f32

Get the perimeter of the regular polygon. This is the sum of its sides

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### impl Meshable for RegularPolygon

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#### type Output = RegularPolygonMeshBuilder

The output of `Self::mesh`. This will be a `MeshBuilder` used for creating a `Mesh`.
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#### fn mesh(&self) -> <RegularPolygon as Meshable>::Output

Creates a `Mesh` for a shape.
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### impl PartialEq for RegularPolygon

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#### fn eq(&self, other: &RegularPolygon) -> 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 Reflect for RegularPolygonwhere RegularPolygon: Any + Send + Sync, Circle: FromReflect + TypePath + RegisterForReflection, usize: FromReflect + TypePath + RegisterForReflection,

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#### fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the `TypeInfo` of the type represented by this value. Read more
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#### fn into_any(self: Box<RegularPolygon>) -> Box<dyn Any>

Returns the value as a `Box<dyn Any>`.
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#### fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a `&dyn Any`.
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#### fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a `&mut dyn Any`.
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#### fn into_reflect(self: Box<RegularPolygon>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.
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#### fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a reflected value.
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#### fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable reflected value.
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#### fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a `Reflect` trait object. Read more
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#### fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
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#### fn try_apply( &mut self, value: &(dyn Reflect + 'static), ) -> Result<(), ApplyError>

Tries to `apply` a reflected value to this value. Read more
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#### fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
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#### fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
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#### fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
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#### fn reflect_owned(self: Box<RegularPolygon>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
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#### fn reflect_partial_eq(&self, value: &(dyn Reflect + 'static)) -> Option<bool>

Returns a “partial equality” comparison result. Read more
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#### fn debug(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Debug formatter for the value. Read more
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#### fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. Read more
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#### fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
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#### fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. Read more
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#### fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
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### impl Serialize for RegularPolygon

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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 Struct for RegularPolygonwhere RegularPolygon: Any + Send + Sync, Circle: FromReflect + TypePath + RegisterForReflection, usize: FromReflect + TypePath + RegisterForReflection,

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#### fn field(&self, name: &str) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field named `name` as a `&dyn Reflect`.
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#### fn field_mut(&mut self, name: &str) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field named `name` as a `&mut dyn Reflect`.
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#### fn field_at(&self, index: usize) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field with index `index` as a `&dyn Reflect`.
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#### fn field_at_mut(&mut self, index: usize) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field with index `index` as a `&mut dyn Reflect`.
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#### fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index `index`.
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#### fn field_len(&self) -> usize

Returns the number of fields in the struct.
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#### fn iter_fields(&self) -> FieldIter<'_> ⓘ

Returns an iterator over the values of the reflectable fields for this struct.
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#### fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a `DynamicStruct`.
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### impl TypePath for RegularPolygonwhere RegularPolygon: Any + Send + Sync,

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#### fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
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#### fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
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#### fn type_ident() -> Option<&'static str>

Returns the name of the type, or `None` if it is anonymous. Read more
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#### fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or `None` if it is anonymous. Read more
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#### fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or `None` if it is anonymous. Read more
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### impl Typed for RegularPolygonwhere RegularPolygon: Any + Send + Sync, Circle: FromReflect + TypePath + RegisterForReflection, usize: FromReflect + TypePath + RegisterForReflection,

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#### fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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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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Return the `T` `ShaderType` for `self`. When used in `AsBindGroup` derives, it is safe to assume that all images in `self` exist.
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Immutably borrows from an owned value. Read more
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Mutably borrows from an owned value. Read more
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#### fn into_any(self: Box<T>) -> Box<dyn Any>

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>) -> Rc<dyn Any>

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

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> From<T> for T

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#### fn from(t: T) -> T

Returns the argument unchanged.

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### impl<T> FromWorld for Twhere T: Default,

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#### fn from_world(_world: &mut World) -> T

Creates `Self` using data from the given `World`.
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### impl<S> GetField for Swhere S: Struct,

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#### fn get_field<T>(&self, name: &str) -> Option<&T>where T: Reflect,

Returns a reference to the value of the field named `name`, downcast to `T`.
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#### fn get_field_mut<T>(&mut self, name: &str) -> Option<&mut T>where T: Reflect,

Returns a mutable reference to the value of the field named `name`, downcast to `T`.
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### impl<T> GetPath for Twhere T: Reflect + ?Sized,

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#### fn reflect_path<'p>( &self, path: impl ReflectPath<'p>, ) -> Result<&(dyn Reflect + 'static), ReflectPathError<'p>>

Returns a reference to the value specified by `path`. Read more
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#### fn reflect_path_mut<'p>( &mut self, path: impl ReflectPath<'p>, ) -> Result<&mut (dyn Reflect + 'static), ReflectPathError<'p>>

Returns a mutable reference to the value specified by `path`. Read more
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#### fn path<'p, T>( &self, path: impl ReflectPath<'p>, ) -> Result<&T, ReflectPathError<'p>>where T: Reflect,

Returns a statically typed reference to the value specified by `path`. Read more
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#### fn path_mut<'p, T>( &mut self, path: impl ReflectPath<'p>, ) -> Result<&mut T, ReflectPathError<'p>>where T: Reflect,

Returns a statically typed mutable reference to the value specified by `path`. Read more
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### impl<T> Instrument for T

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#### fn instrument(self, span: Span) -> Instrumented<Self> ⓘ

Instruments this type with the provided `Span`, returning an `Instrumented` wrapper. Read more
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Instruments this type with the current `Span`, returning an `Instrumented` wrapper. Read more
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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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#### fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ

Converts `self` into a `Left` variant of `Either<Self, Self>` if `into_left` is `true`. Converts `self` into a `Right` variant of `Either<Self, Self>` otherwise. Read more
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Converts `self` into a `Left` variant of `Either<Self, Self>` if `into_left(&self)` returns `true`. Converts `self` into a `Right` variant of `Either<Self, Self>` otherwise. Read more
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#### fn null_value() -> T

The none-equivalent value.
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### impl<T> Pointable for T

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#### const ALIGN: usize = _

The alignment of pointer.
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#### type Init = T

The type for initializers.
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#### unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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#### unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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Mutably dereferences the given pointer. Read more
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#### unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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Read this value from the supplied reader. Same as `ReadEndian::read_from_little_endian()`.
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Read this value from the supplied reader. Same as `ReadEndian::read_from_big_endian()`.
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Read this value from the supplied reader. Same as `ReadEndian::read_from_native_endian()`.
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#### type Output = T

Should always be `Self`
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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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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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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> WithSubscriber for T

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#### fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self> ⓘwhere S: Into<Dispatch>,

Attaches the provided `Subscriber` to this type, returning a `WithDispatch` wrapper. Read more
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#### fn with_current_subscriber(self) -> WithDispatch<Self> ⓘ

Attaches the current default `Subscriber` to this type, returning a `WithDispatch` wrapper. Read more
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