Struct CubicHermite

pub struct CubicHermite<P: VectorSpace> {
    pub control_points: Vec<(P, P)>,
}

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

impl<P: VectorSpace> CubicHermite<P>

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

Create a new Hermite curve from sets of control points.

Trait Implementations

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

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

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<P: VectorSpace> CubicGenerator<P> for CubicHermite<P>

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

Build a CubicCurve by computing the interpolation coefficients for each curve segment.

impl<P: Debug + VectorSpace> Debug for CubicHermite<P>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<P> FromReflect for CubicHermite<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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

Constructs a concrete instance of Self from a reflected value.

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.

impl<P> GetTypeRegistration for CubicHermite<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.

fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type.

impl<P> Reflect for CubicHermite<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value.

fn into_any(self: Box<Self>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.

fn as_any(&self) -> &dyn Any

Returns the value as a &dyn Any.

fn as_any_mut(&mut self) -> &mut dyn Any

Returns the value as a &mut dyn Any.

fn into_reflect(self: Box<Self>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.

fn as_reflect(&self) -> &dyn Reflect

Casts this type to a reflected value.

fn as_reflect_mut(&mut self) -> &mut dyn Reflect

Casts this type to a mutable reflected value.

fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object.

fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value.

fn try_apply(&mut self, value: &dyn Reflect) -> Result<(), ApplyError>

Tries to apply a reflected value to this value.

fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type.

fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type.

fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type.

fn reflect_owned(self: Box<Self>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type.

fn reflect_partial_eq(&self, value: &dyn Reflect) -> Option<bool>

Returns a “partial equality” comparison result.

fn debug(&self, f: &mut Formatter<'_>) -> Result

Debug formatter for the value.

fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value.

fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type).

fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value.

fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type.

impl<P> Struct for CubicHermite<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

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

Returns a reference to the value of the field named name as a &dyn Reflect.

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.

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.

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.

fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.

fn field_len(&self) -> usize

Returns the number of fields in the struct.

fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.

fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.

impl<P> TypePath for CubicHermite<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace,

fn type_path() -> &'static str

Returns the fully qualified path of the underlying type.

fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type.

fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous.

fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous.

fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous.

impl<P> Typed for CubicHermite<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, Vec<(P, P)>: FromReflect + TypePath + RegisterForReflection,

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.