Struct RationalCurve

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

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

impl<P: VectorSpace> RationalCurve<P>

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: 'a>( &'b self, subdivisions: usize, sample_function: impl FnMut(&Self, f32) -> P + 'a, ) -> impl Iterator<Item = P> + '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

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

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

Returns a copy of the value.

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

Performs copy-assignment from source.

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

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

Formats the value using the given formatter.

impl<P: VectorSpace> Extend<RationalSegment<P>> for RationalCurve<P>

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

Extends a collection with the contents of an iterator.

fn extend_one(&mut self, item: A)

🔬This is a nightly-only experimental API. (extend_one)

Extends a collection with exactly one element.

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.

impl<P: VectorSpace> From<CubicCurve<P>> for RationalCurve<P>

fn from(value: CubicCurve<P>) -> Self

Converts to this type from the input type.

impl<P> FromReflect for RationalCurve<P>

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

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

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

Which kind of iterator are we turning this into?

type Item = RationalSegment<P>

The type of the elements being iterated over.

fn into_iter(self) -> Self::IntoIter

Creates an iterator from a value.

impl<P: PartialEq + VectorSpace> PartialEq for RationalCurve<P>

fn eq(&self, other: &RationalCurve<P>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<P> Reflect for RationalCurve<P>

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

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

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

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.

impl<P: VectorSpace> StructuralPartialEq for RationalCurve<P>