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Sphere

Struct Sphere 

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pub struct Sphere<P, E> {
    pub center: Vec3<P>,
    pub radius: E,
}
Expand description

Sphere (3D), represented by center and radius.

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§center: Vec3<P>§radius: E

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impl<P, E> Sphere<P, E>

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pub fn surface_area(self) -> E
where E: Copy + One<Output = E> + FloatConst + Add<Output = E> + Mul,

Gets this sphere’s surface area.

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pub fn volume(self) -> E
where E: Copy + One<Output = E> + FloatConst + Add<Output = E> + Mul + Div<Output = E>,

Gets this sphere’s volume.

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impl<P, E> Sphere<P, E>

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pub fn new(center: Vec3<P>, radius: E) -> Sphere<P, E>

Creates a new Sphere from center and radius.

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pub fn unit(center: Vec3<P>) -> Sphere<P, E>
where E: One,

Creates a new Sphere from center and a radius equal to one.

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pub fn point(center: Vec3<P>) -> Sphere<P, E>
where E: Zero,

Creates a new Sphere from center and a radius equal to zero.

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pub fn diameter(self) -> E
where E: Copy + Add<Output = E>,

Gets the value of twice the radius.

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pub fn rect3(self) -> Rect3<P, E>
where P: Sub<Output = P> + From<E> + Copy, E: Copy + Add<Output = E>,

Gets the bounding rectangle for this shape.

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impl<T> Sphere<T, T>
where T: Add<Output = T> + Sub<Output = T> + Copy,

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pub fn aabb(self) -> Aabb<T>

Gets this shape’s bounds.

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impl<T> Sphere<T, T>
where T: Real<Output = T> + Add,

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pub fn contains_point(self, p: Vec3<T>) -> bool
where T: PartialOrd,

Does this shape contain the given point ?

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pub fn collides_with_sphere(self, other: Sphere<T, T>) -> bool
where T: PartialOrd,

Does this shape collide with another ?

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pub fn collision_vector_with_sphere(self, other: Sphere<T, T>) -> Vec3<T>

Gets a vector that tells how much this shape penetrates another.

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impl<P, E> Clone for Sphere<P, E>
where P: Clone, E: Clone,

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fn clone(&self) -> Sphere<P, E>

Returns a duplicate 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<P, E> Debug for Sphere<P, E>
where P: Debug, E: Debug,

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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<P, E> Default for Sphere<P, E>
where P: Default, E: Default,

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fn default() -> Sphere<P, E>

Returns the “default value” for a type. Read more
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impl<'de, P, E> Deserialize<'de> for Sphere<P, E>
where P: Deserialize<'de>, E: Deserialize<'de>,

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fn deserialize<__D>( __deserializer: __D, ) -> Result<Sphere<P, E>, <__D as Deserializer<'de>>::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<P, E> Hash for Sphere<P, E>
where P: Hash, E: Hash,

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fn hash<__H>(&self, state: &mut __H)
where __H: Hasher,

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<P, E> PartialEq for Sphere<P, E>
where P: PartialEq, E: PartialEq,

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fn eq(&self, other: &Sphere<P, E>) -> bool

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<P, E> Serialize for Sphere<P, E>
where P: Serialize, E: 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<P, E> Copy for Sphere<P, E>
where P: Copy, E: Copy,

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impl<P, E> Eq for Sphere<P, E>
where P: Eq, E: Eq,

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impl<P, E> StructuralPartialEq for Sphere<P, E>

Auto Trait Implementations§

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impl<P, E> Freeze for Sphere<P, E>
where E: Freeze, P: Freeze,

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impl<P, E> RefUnwindSafe for Sphere<P, E>

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impl<P, E> Send for Sphere<P, E>
where E: Send, P: Send,

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impl<P, E> Sync for Sphere<P, E>
where E: Sync, P: Sync,

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impl<P, E> Unpin for Sphere<P, E>
where E: Unpin, P: Unpin,

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impl<P, E> UnsafeUnpin for Sphere<P, E>
where E: UnsafeUnpin, P: UnsafeUnpin,

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impl<P, E> UnwindSafe for Sphere<P, E>
where E: UnwindSafe, P: UnwindSafe,

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impl<T> Any for T
where 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> AnyEq for T
where T: Any + PartialEq,

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fn equals(&self, other: &(dyn Any + 'static)) -> bool

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fn as_any(&self) -> &(dyn Any + 'static)

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impl<T> Borrow<T> for T
where 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 T
where 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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> Downcast<T> for T

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fn downcast(&self) -> &T

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impl<T> Downcast for T
where T: Any,

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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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impl<T> DowncastSync for T
where T: Any + Send + Sync,

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

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<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. 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<S> FromSample<S> for S

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fn from_sample_(s: S) -> S

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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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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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impl<T, U> Into<U> for T
where 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> IntoEither for T

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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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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

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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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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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

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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impl<R, P> ReadPrimitive<R> for P
where R: Read + ReadEndian<P>, P: Default,

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fn read_from_little_endian(read: &mut R) -> Result<Self, Error>

Read this value from the supplied reader. Same as ReadEndian::read_from_little_endian().
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fn read_from_big_endian(read: &mut R) -> Result<Self, Error>

Read this value from the supplied reader. Same as ReadEndian::read_from_big_endian().
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fn read_from_native_endian(read: &mut R) -> Result<Self, Error>

Read this value from the supplied reader. Same as ReadEndian::read_from_native_endian().
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impl<T> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where 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 T
where 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> ToSample<U> for T
where U: FromSample<T>,

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fn to_sample_(self) -> U

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impl<T, U> TryFrom<U> for T
where 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 T
where 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> Upcast<T> for T

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fn upcast(&self) -> Option<&T>

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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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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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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<S, T> Duplex<S> for T
where T: FromSample<S> + ToSample<S>,

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impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,

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impl<T> WasmNotSend for T
where T: Send,

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impl<T> WasmNotSendSync for T

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impl<T> WasmNotSync for T
where T: Sync,