# Struct bevy::math::cubic_splines::CubicCurve

``````pub struct CubicCurve<P>where
P: Point,{ /* private fields */ }``````
Expand description

A collection of `CubicSegment`s chained into a curve.

## Implementations§

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### impl<P> CubicCurve<P>where P: Point,

#### 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)`.

#### 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)`.

#### 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)`.

#### pub fn iter_samples<'a, 'b>( &'b self, subdivisions: usize, sample_function: impl FnMut(&CubicCurve<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) -> &[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()`.

#### 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.

## Trait Implementations§

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### impl<P> Clone for CubicCurve<P>where P: Clone + Point,

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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 for CubicCurve<P>where P: Debug + Point,

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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> Default for CubicCurve<P>where P: Default + Point,

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#### fn default() -> CubicCurve<P>

Returns the “default value” for a type. Read more
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### impl<P> PartialEq<CubicCurve<P>> for CubicCurve<P>where P: PartialEq<P> + Point,

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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<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, U> AsBindGroupShaderType<U> for Twhere U: ShaderType, &'a T: for<'a> Into<U>,

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#### fn as_bind_group_shader_type(&self, _images: &RenderAssets<Image>) -> 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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### 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 + Sync + Send, 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> 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<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 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> NoneValue for Twhere T: Default,

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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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#### 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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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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### impl<T> Same<T> for T

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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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#### 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> 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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