# Struct bevy::math::prelude::CubicHermite

``````pub struct CubicHermite<P>where
P: VectorSpace,{
pub control_points: Vec<(P, P)>,
}``````
Expand description

A spline interpolated continuously between the nearest two control points, with the position and velocity of the curve specified at both control points. This curve passes through all control points, with the specified velocity which includes direction and parametric speed.

Useful for smooth interpolation when you know the position and velocity at two points in time, such as network prediction.

#### §Interpolation

The curve passes through every control point.

#### §Tangency

Tangents are explicitly defined at each control point.

#### §Continuity

The curve is at minimum C0 continuous, meaning it has no holes or jumps. It is also C1, meaning the tangent vector has no sudden jumps.

#### §Usage

``````let points = [
vec2(-1.0, -20.0),
vec2(3.0, 2.0),
vec2(5.0, 3.0),
vec2(9.0, 8.0),
];
let tangents = [
vec2(0.0, 1.0),
vec2(0.0, 1.0),
vec2(0.0, 1.0),
vec2(0.0, 1.0),
];
let hermite = CubicHermite::new(points, tangents).to_curve();
let positions: Vec<_> = hermite.iter_positions(100).collect();``````

## Fields§

§`control_points: Vec<(P, P)>`

The control points of the Hermite curve

## Implementations§

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

#### pub fn new( control_points: impl IntoIterator<Item = P>, tangents: impl IntoIterator<Item = P>, ) -> CubicHermite<P>

Create a new Hermite curve from sets of control points.

## Trait Implementations§

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

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#### fn clone(&self) -> CubicHermite<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> CubicGenerator<P> for CubicHermite<P>where P: VectorSpace,

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#### fn to_curve(&self) -> CubicCurve<P>

Build a `CubicCurve` by computing the interpolation coefficients for each curve segment.
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### impl<P> Debug for CubicHermite<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> FromArg for &'static CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### type Item<'from_arg> = &'from_arg CubicHermite<P>

The type of the item created from the argument. Read more
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#### fn from_arg<'from_arg>( arg: Arg<'from_arg>, info: &ArgInfo, ) -> Result<<&'static CubicHermite<P> as FromArg>::Item<'from_arg>, ArgError>

Creates an item from an argument. Read more
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### impl<P> FromArg for &'static mut CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### type Item<'from_arg> = &'from_arg mut CubicHermite<P>

The type of the item created from the argument. Read more
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#### fn from_arg<'from_arg>( arg: Arg<'from_arg>, info: &ArgInfo, ) -> Result<<&'static mut CubicHermite<P> as FromArg>::Item<'from_arg>, ArgError>

Creates an item from an argument. Read more
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### impl<P> FromArg for CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### type Item<'from_arg> = CubicHermite<P>

The type of the item created from the argument. Read more
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#### fn from_arg<'from_arg>( arg: Arg<'from_arg>, info: &ArgInfo, ) -> Result<<CubicHermite<P> as FromArg>::Item<'from_arg>, ArgError>

Creates an item from an argument. Read more
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### impl<P> FromReflect for CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<CubicHermite<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> GetOwnership for &CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### fn ownership() -> Ownership

Returns the ownership of `Self`.
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### impl<P> GetOwnership for &mut CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### fn ownership() -> Ownership

Returns the ownership of `Self`.
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### impl<P> GetOwnership for CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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#### fn ownership() -> Ownership

Returns the ownership of `Self`.
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### impl<P> GetTypeRegistration for CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, 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> Reflect for CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, 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<CubicHermite<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<CubicHermite<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<CubicHermite<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 CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, 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 CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<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 CubicHermite<P>where P: VectorSpace + TypePath, CubicHermite<P>: Any + Send + Sync, Vec<(P, 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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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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🔬This is a nightly-only experimental API. (`clone_to_uninit`)
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