Struct bevy_math::cubic_splines::CubicBezier
source · pub struct CubicBezier<P: VectorSpace> {
pub control_points: Vec<[P; 4]>,
}
Expand description
A spline composed of a single cubic Bezier curve.
Useful for user-drawn curves with local control, or animation easing. See
CubicSegment::new_bezier
for use in easing.
§Interpolation
The curve only passes through the first and last control point in each set of four points. The curve is divided into “segments” by every fourth control point.
§Tangency
Tangents are manually defined by the two intermediate control points within each set of four points. You can think of the control points the curve passes through as “anchors”, and as the intermediate control points as the anchors displaced along their tangent vectors
§Continuity
A Bezier curve is at minimum C0 continuous, meaning it has no holes or jumps. Each curve segment is C2, meaning the tangent vector changes smoothly between each set of four control points, but this doesn’t hold at the control points between segments. Making the whole curve C1 or C2 requires moving the intermediate control points to align the tangent vectors between segments, and can result in a loss of local control.
§Usage
let points = [[
vec2(-1.0, -20.0),
vec2(3.0, 2.0),
vec2(5.0, 3.0),
vec2(9.0, 8.0),
]];
let bezier = CubicBezier::new(points).to_curve();
let positions: Vec<_> = bezier.iter_positions(100).collect();
Fields§
§control_points: Vec<[P; 4]>
The control points of the Bezier curve
Implementations§
source§impl<P: VectorSpace> CubicBezier<P>
impl<P: VectorSpace> CubicBezier<P>
Trait Implementations§
source§impl<P: Clone + VectorSpace> Clone for CubicBezier<P>
impl<P: Clone + VectorSpace> Clone for CubicBezier<P>
source§fn clone(&self) -> CubicBezier<P>
fn clone(&self) -> CubicBezier<P>
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read moresource§impl<P: VectorSpace> CubicGenerator<P> for CubicBezier<P>
impl<P: VectorSpace> CubicGenerator<P> for CubicBezier<P>
source§fn to_curve(&self) -> CubicCurve<P>
fn to_curve(&self) -> CubicCurve<P>
CubicCurve
by computing the interpolation coefficients for each curve segment.source§impl<P: Debug + VectorSpace> Debug for CubicBezier<P>
impl<P: Debug + VectorSpace> Debug for CubicBezier<P>
source§impl<P> FromReflect for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
impl<P> FromReflect for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
source§fn from_reflect(reflect: &dyn Reflect) -> Option<Self>
fn from_reflect(reflect: &dyn Reflect) -> Option<Self>
Self
from a reflected value.source§fn take_from_reflect(
reflect: Box<dyn Reflect>
) -> Result<Self, Box<dyn Reflect>>
fn take_from_reflect( reflect: Box<dyn Reflect> ) -> Result<Self, Box<dyn Reflect>>
Self
using,
constructing the value using from_reflect
if that fails. Read moresource§impl<P> GetTypeRegistration for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
impl<P> GetTypeRegistration for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
source§fn get_type_registration() -> TypeRegistration
fn get_type_registration() -> TypeRegistration
TypeRegistration
for this type.source§fn register_type_dependencies(registry: &mut TypeRegistry)
fn register_type_dependencies(registry: &mut TypeRegistry)
source§impl<P> Reflect for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
impl<P> Reflect for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
source§fn get_represented_type_info(&self) -> Option<&'static TypeInfo>
fn get_represented_type_info(&self) -> Option<&'static TypeInfo>
source§fn as_any_mut(&mut self) -> &mut dyn Any
fn as_any_mut(&mut self) -> &mut dyn Any
&mut dyn Any
.source§fn into_reflect(self: Box<Self>) -> Box<dyn Reflect>
fn into_reflect(self: Box<Self>) -> Box<dyn Reflect>
source§fn as_reflect(&self) -> &dyn Reflect
fn as_reflect(&self) -> &dyn Reflect
source§fn as_reflect_mut(&mut self) -> &mut dyn Reflect
fn as_reflect_mut(&mut self) -> &mut dyn Reflect
source§fn clone_value(&self) -> Box<dyn Reflect>
fn clone_value(&self) -> Box<dyn Reflect>
Reflect
trait object. Read moresource§fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>
fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>
source§fn reflect_kind(&self) -> ReflectKind
fn reflect_kind(&self) -> ReflectKind
source§fn reflect_ref(&self) -> ReflectRef<'_>
fn reflect_ref(&self) -> ReflectRef<'_>
source§fn reflect_mut(&mut self) -> ReflectMut<'_>
fn reflect_mut(&mut self) -> ReflectMut<'_>
source§fn reflect_owned(self: Box<Self>) -> ReflectOwned
fn reflect_owned(self: Box<Self>) -> ReflectOwned
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fn reflect_partial_eq(&self, value: &dyn Reflect) -> Option<bool>
source§fn apply(&mut self, value: &(dyn Reflect + 'static))
fn apply(&mut self, value: &(dyn Reflect + 'static))
source§fn reflect_hash(&self) -> Option<u64>
fn reflect_hash(&self) -> Option<u64>
source§fn serializable(&self) -> Option<Serializable<'_>>
fn serializable(&self) -> Option<Serializable<'_>>
source§fn is_dynamic(&self) -> bool
fn is_dynamic(&self) -> bool
source§impl<P> Struct for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
impl<P> Struct for CubicBezier<P>where
Self: Any + Send + Sync,
P: TypePath + VectorSpace,
Vec<[P; 4]>: FromReflect + TypePath + RegisterForReflection,
source§fn field(&self, name: &str) -> Option<&dyn Reflect>
fn field(&self, name: &str) -> Option<&dyn Reflect>
name
as a &dyn Reflect
.source§fn field_mut(&mut self, name: &str) -> Option<&mut dyn Reflect>
fn field_mut(&mut self, name: &str) -> Option<&mut dyn Reflect>
name
as a
&mut dyn Reflect
.source§fn field_at(&self, index: usize) -> Option<&dyn Reflect>
fn field_at(&self, index: usize) -> Option<&dyn Reflect>
index
as a
&dyn Reflect
.source§fn field_at_mut(&mut self, index: usize) -> Option<&mut dyn Reflect>
fn field_at_mut(&mut self, index: usize) -> Option<&mut dyn Reflect>
index
as a &mut dyn Reflect
.source§fn name_at(&self, index: usize) -> Option<&str>
fn name_at(&self, index: usize) -> Option<&str>
index
.source§fn iter_fields(&self) -> FieldIter<'_>
fn iter_fields(&self) -> FieldIter<'_>
source§fn clone_dynamic(&self) -> DynamicStruct
fn clone_dynamic(&self) -> DynamicStruct
DynamicStruct
.source§impl<P> TypePath for CubicBezier<P>
impl<P> TypePath for CubicBezier<P>
source§fn type_path() -> &'static str
fn type_path() -> &'static str
source§fn short_type_path() -> &'static str
fn short_type_path() -> &'static str
source§fn type_ident() -> Option<&'static str>
fn type_ident() -> Option<&'static str>
source§fn crate_name() -> Option<&'static str>
fn crate_name() -> Option<&'static str>
Auto Trait Implementations§
impl<P> Freeze for CubicBezier<P>
impl<P> RefUnwindSafe for CubicBezier<P>where
P: RefUnwindSafe,
impl<P> Send for CubicBezier<P>where
P: Send,
impl<P> Sync for CubicBezier<P>where
P: Sync,
impl<P> Unpin for CubicBezier<P>where
P: Unpin,
impl<P> UnwindSafe for CubicBezier<P>where
P: UnwindSafe,
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
source§impl<T> Downcast for Twhere
T: Any,
impl<T> Downcast for Twhere
T: Any,
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fn into_any(self: Box<T>) -> Box<dyn Any>
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(where Trait: Downcast
) to Box<dyn Any>
. Box<dyn Any>
can
then be further downcast
into Box<ConcreteType>
where ConcreteType
implements Trait
.source§fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>
fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>
Rc<Trait>
(where Trait: Downcast
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. Rc<Any>
can then be
further downcast
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impl<T> DowncastSync for T
source§impl<T> DynamicTypePath for Twhere
T: TypePath,
impl<T> DynamicTypePath for Twhere
T: TypePath,
source§fn reflect_type_path(&self) -> &str
fn reflect_type_path(&self) -> &str
TypePath::type_path
.source§fn reflect_short_type_path(&self) -> &str
fn reflect_short_type_path(&self) -> &str
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fn reflect_type_ident(&self) -> Option<&str>
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.source§fn reflect_crate_name(&self) -> Option<&str>
fn reflect_crate_name(&self) -> Option<&str>
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source§impl<S> GetField for Swhere
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S: Struct,
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impl<T> GetPath for T
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&self,
path: impl ReflectPath<'p>
) -> Result<&(dyn Reflect + 'static), ReflectPathError<'p>>
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) -> Result<&mut T, ReflectPathError<'p>>where
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