# Struct bevy::math::prelude::RationalCurve

pub struct RationalCurve<P>
where P: VectorSpace,
{ pub segments: Vec<RationalSegment<P>>, }
Expand description

A collection of RationalSegments chained into a single parametric curve.

Use any struct that implements the RationalGenerator trait to create a new curve, such as CubicNurbs, or convert CubicCurve using into/from.

## Fields§

§segments: Vec<RationalSegment<P>>

The segments in the curve

## Implementations§

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### impl<P> RationalCurve<P>where P: VectorSpace,

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

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

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

#### 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 curve at t.

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

#### 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 curve at t.

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

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

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

The list of segments contained in this RationalCurve.

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

All method accepting t on RationalCurve 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().

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

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

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

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

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

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

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

Adds a segment to the curve.

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

Returns the length of of the domain of the parametric curve.

## Trait Implementations§

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### impl<P> Clone for RationalCurve<P>where P: Clone + VectorSpace,

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#### fn clone(&self) -> RationalCurve<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 for RationalCurve<P>where P: Debug + VectorSpace,

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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> Extend<RationalSegment<P>> for RationalCurve<P>where P: VectorSpace,

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

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> From<CubicCurve<P>> for RationalCurve<P>where P: VectorSpace,

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#### fn from(value: CubicCurve<P>) -> RationalCurve<P>

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

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

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 RationalCurve<P>where P: VectorSpace + TypePath, RationalCurve<P>: Any + Send + Sync, Vec<RationalSegment<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> IntoIterator for RationalCurve<P>where P: VectorSpace,

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#### type IntoIter = <Vec<RationalSegment<P>> as IntoIterator>::IntoIter

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

The type of the elements being iterated over.
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#### fn into_iter(self) -> <RationalCurve<P> as IntoIterator>::IntoIter

Creates an iterator from a value. Read more
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### impl<P> PartialEq for RationalCurve<P>where P: PartialEq + VectorSpace,

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#### fn eq(&self, other: &RationalCurve<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 RationalCurve<P>where P: VectorSpace + TypePath, RationalCurve<P>: Any + Send + Sync, Vec<RationalSegment<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<RationalCurve<P>>) -> 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<RationalCurve<P>>) -> 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<RationalCurve<P>>) -> 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<P> Struct for RationalCurve<P>where P: VectorSpace + TypePath, RationalCurve<P>: Any + Send + Sync, Vec<RationalSegment<P>>: 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<P> TypePath for RationalCurve<P>where P: VectorSpace + TypePath, RationalCurve<P>: 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<P> Typed for RationalCurve<P>where P: VectorSpace + TypePath, RationalCurve<P>: Any + Send + Sync, Vec<RationalSegment<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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#### fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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#### fn as_bind_group_shader_type(&self, _images: &RenderAssets<GpuImage>) -> U

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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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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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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Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
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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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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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Returns the argument unchanged.

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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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Returns a mutable reference to the value of the field named name, downcast to T.
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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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Returns a statically typed reference to the value specified by path. Read more
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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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Calls U::from(self).

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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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The alignment of pointer.
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The type for initializers.
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