Struct vek::bezier::repr_c::QuadraticBezier3

pub struct QuadraticBezier3<T>(pub Vec3<T>, pub Vec3<T>, pub Vec3<T>);

A 3D curve with one control point.

Methods

impl<T: Float> QuadraticBezier3<T>

fn evaluate(self, t: T) -> Vec3<T>

Evaluates the position of the point lying on the curve at interpolation factor t.

This is one of the most important Bézier curve operations, because, in one way or another, it is used to render a curve to the screen. The common use case is to successively evaluate a curve at a set of values that range from 0 to 1, to approximate the curve as an array of line segments which are then rendered.

fn evaluate_derivative(self, t: T) -> Vec3<T>

Evaluates the derivative tangent at interpolation factor t, which happens to give a non-normalized tangent vector.

See also normalized_tangent().

fn from_line_segment(line: LineSegment3<T>) -> Self

Creates a quadratic Bézier curve from a single segment.

fn matrix() -> Mat3<T>

Returns the constant matrix M such that, given T = [1, t*t, t*t*t] and P the vector of control points, dot(T * M, P) evalutes the Bezier curve at 't'.

This function name is arguably dubious.

fn split(self, t: T) -> (Self, Self)

Splits this quadratic Bézier curve into two curves, at interpolation factor t.

impl<T> QuadraticBezier3<T>

fn normalized_tangent(self, t: T) -> Vec3<T> where
    T: Float + Sum, 

Evaluates the normalized tangent at interpolation factor t.

fn length_by_discretization(self, step_count: u32) -> T where
    T: Float + AddAssign + Sum, 

Approximates the curve's length by subdividing it into step_count+1 segments.

Trait Implementations

impl<T: Debug> Debug for QuadraticBezier3<T>

fn fmt(&self, __arg_0: &mut Formatter) -> Result

Formats the value using the given formatter.

impl<T: Default> Default for QuadraticBezier3<T>

fn default() -> QuadraticBezier3<T>

Returns the "default value" for a type.

impl<T: Copy> Copy for QuadraticBezier3<T>

impl<T: Clone> Clone for QuadraticBezier3<T>

fn clone(&self) -> QuadraticBezier3<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Hash> Hash for QuadraticBezier3<T>

fn hash<__HT: Hasher>(&self, __arg_0: &mut __HT)

Feeds this value into the given [Hasher].

fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given [Hasher].

impl<T: PartialEq> PartialEq for QuadraticBezier3<T>

fn eq(&self, __arg_0: &QuadraticBezier3<T>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, __arg_0: &QuadraticBezier3<T>) -> bool

This method tests for !=.

impl<T: Eq> Eq for QuadraticBezier3<T>

impl<T> From<Vec3<Vec3<T>>> for QuadraticBezier3<T>

fn from(v: Vec3<Vec3<T>>) -> Self

Performs the conversion.