Struct bevy_math::cubic_splines::CubicCurve

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pub struct CubicCurve<P: VectorSpace> {
    pub segments: Vec<CubicSegment<P>>,
}
Expand description

A collection of CubicSegments chained into a single parametric curve. Has domain [0, N) where N is the number of attached segments.

Use any struct that implements the CubicGenerator trait to create a new curve, such as CubicBezier.

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§segments: Vec<CubicSegment<P>>

Segments of the curve

Implementations§

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impl<P: VectorSpace> CubicCurve<P>

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pub fn position(&self, t: f32) -> P

Compute the position of a point on the cubic curve at the parametric value t.

Note that t varies from 0..=(n_points - 3).

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pub fn velocity(&self, t: f32) -> P

Compute the first derivative with respect to t at t. This is the instantaneous velocity of a point on the cubic curve at t.

Note that t varies from 0..=(n_points - 3).

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pub fn acceleration(&self, t: f32) -> P

Compute the second derivative with respect to t at t. This is the instantaneous acceleration of a point on the cubic curve at t.

Note that t varies from 0..=(n_points - 3).

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pub fn iter_samples<'a, 'b: 'a>( &'b self, subdivisions: usize, sample_function: impl FnMut(&Self, f32) -> P + 'a ) -> impl Iterator<Item = P> + 'a

A flexible iterator used to sample curves with arbitrary functions.

This splits the curve into subdivisions of evenly spaced t values across the length of the curve from start (t = 0) to end (t = n), where n = self.segment_count(), returning an iterator evaluating the curve with the supplied sample_function at each t.

For subdivisions = 2, this will split the curve into two lines, or three points, and return an iterator with 3 items, the three points, one at the start, middle, and end.

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pub fn segments(&self) -> &[CubicSegment<P>]

The list of segments contained in this CubicCurve.

This spline’s global t value is equal to how many segments it has.

All method accepting t on CubicCurve depends on the global t. When sampling over the entire curve, you should either use one of the iter_* methods or account for the segment count using curve.segments().len().

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pub fn iter_positions( &self, subdivisions: usize ) -> impl Iterator<Item = P> + '_

Iterate over the curve split into subdivisions, sampling the position at each step.

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pub fn iter_velocities( &self, subdivisions: usize ) -> impl Iterator<Item = P> + '_

Iterate over the curve split into subdivisions, sampling the velocity at each step.

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pub fn iter_accelerations( &self, subdivisions: usize ) -> impl Iterator<Item = P> + '_

Iterate over the curve split into subdivisions, sampling the acceleration at each step.

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pub fn push_segment(&mut self, segment: CubicSegment<P>)

Adds a segment to the curve

Trait Implementations§

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impl<P: Clone + VectorSpace> Clone for CubicCurve<P>

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fn clone(&self) -> CubicCurve<P>

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<P: Debug + VectorSpace> Debug for CubicCurve<P>

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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<P: VectorSpace> Extend<CubicSegment<P>> for CubicCurve<P>

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fn extend<T: IntoIterator<Item = CubicSegment<P>>>(&mut self, iter: T)

Extends a collection with the contents of an iterator. Read more
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fn extend_one(&mut self, item: A)

🔬This is a nightly-only experimental API. (extend_one)
Extends a collection with exactly one element.
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fn extend_reserve(&mut self, additional: usize)

🔬This is a nightly-only experimental API. (extend_one)
Reserves capacity in a collection for the given number of additional elements. Read more
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impl<P: VectorSpace> From<CubicCurve<P>> for RationalCurve<P>

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fn from(value: CubicCurve<P>) -> Self

Converts to this type from the input type.
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impl<P> FromReflect for CubicCurve<P>
where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<CubicSegment<P>>: FromReflect + TypePath + RegisterForReflection,

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fn from_reflect(reflect: &dyn Reflect) -> Option<Self>

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<P> GetTypeRegistration for CubicCurve<P>
where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<CubicSegment<P>>: 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<P: VectorSpace> IntoIterator for CubicCurve<P>

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type IntoIter = <Vec<CubicSegment<P>> as IntoIterator>::IntoIter

Which kind of iterator are we turning this into?
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type Item = CubicSegment<P>

The type of the elements being iterated over.
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fn into_iter(self) -> Self::IntoIter

Creates an iterator from a value. Read more
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impl<P: PartialEq + VectorSpace> PartialEq for CubicCurve<P>

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fn eq(&self, other: &CubicCurve<P>) -> 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<P> Reflect for CubicCurve<P>
where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<CubicSegment<P>>: 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<Self>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.
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fn as_any(&self) -> &dyn Any

Returns the value as a &dyn Any.
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fn as_any_mut(&mut self) -> &mut dyn Any

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

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

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

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) -> 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<Self>) -> ReflectOwned

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

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

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<P> Struct for CubicCurve<P>
where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<CubicSegment<P>>: FromReflect + TypePath + RegisterForReflection,

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

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>

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>

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>

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<P> TypePath for CubicCurve<P>
where Self: Any + Send + Sync, P: TypePath + VectorSpace,

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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<P> Typed for CubicCurve<P>
where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<CubicSegment<P>>: 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<P: VectorSpace> StructuralPartialEq for CubicCurve<P>

Auto Trait Implementations§

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impl<P> Freeze for CubicCurve<P>

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impl<P> RefUnwindSafe for CubicCurve<P>
where P: RefUnwindSafe,

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impl<P> Send for CubicCurve<P>
where P: Send,

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impl<P> Sync for CubicCurve<P>
where P: Sync,

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impl<P> Unpin for CubicCurve<P>
where P: Unpin,

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impl<P> UnwindSafe for CubicCurve<P>
where P: UnwindSafe,

Blanket Implementations§

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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> 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> 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<T> DynamicTypePath for T
where T: TypePath,

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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> GetField for S
where 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 T
where 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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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> 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> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

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Performs the conversion.
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type Error = <U as TryFrom<T>>::Error

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Performs the conversion.
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where S: Into<Dispatch>,

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