Struct CubicCardinalSpline

pub struct CubicCardinalSpline<P: VectorSpace> {
    pub tension: f32,
    pub control_points: Vec<P>,
}

A spline interpolated continuously across the nearest four control points, with the position of the curve specified at every control point and the tangents computed automatically. The associated CubicCurve has one segment between each pair of adjacent control points.

Note the Catmull-Rom spline is a special case of Cardinal spline where the tension is 0.5.

Interpolation

The curve passes through every control point.

Tangency

Tangents are automatically computed based on the positions of control points.

Continuity

The curve is at minimum C1, meaning that it is continuous (it has no holes or jumps), and its tangent vector is also well-defined everywhere, without 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 cardinal = CubicCardinalSpline::new(0.3, points).to_curve();
let positions: Vec<_> = cardinal.iter_positions(100).collect();

Fields

tension: f32

Tension

control_points: Vec<P>

The control points of the Cardinal spline

Implementations

impl<P: VectorSpace> CubicCardinalSpline<P>

pub fn new(tension: f32, control_points: impl Into<Vec<P>>) -> Self

Build a new Cardinal spline.

pub fn new_catmull_rom(control_points: impl Into<Vec<P>>) -> Self

Build a new Catmull-Rom spline, the special case of a Cardinal spline where tension = 1/2.

Trait Implementations

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

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

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

Formats the value using the given formatter.

impl<P> FromReflect for CubicCardinalSpline<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, f32: FromReflect + TypePath + RegisterForReflection, Vec<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 CubicCardinalSpline<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, f32: FromReflect + TypePath + RegisterForReflection, Vec<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 CubicCardinalSpline<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, f32: FromReflect + TypePath + RegisterForReflection, Vec<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 CubicCardinalSpline<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, f32: FromReflect + TypePath + RegisterForReflection, Vec<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 CubicCardinalSpline<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 CubicCardinalSpline<P>

where Self: Any + Send + Sync, P: TypePath + VectorSpace, f32: FromReflect + TypePath + RegisterForReflection, Vec<P>: FromReflect + TypePath + RegisterForReflection,

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.