[][src]Struct lyon_geom::quadratic_bezier::QuadraticBezierSegment

pub struct QuadraticBezierSegment<S> {
    pub from: Point<S>,
    pub ctrl: Point<S>,
    pub to: Point<S>,
}

A 2d curve segment defined by three points: the beginning of the segment, a control point and the end of the segment.

The curve is defined by equation: ∀ t ∈ [0..1], P(t) = (1 - t)² * from + 2 * (1 - t) * t * ctrl + 2 * t² * to

Fields

from: Point<S>ctrl: Point<S>to: Point<S>

Methods

impl<S: Scalar> QuadraticBezierSegment<S>[src]

pub fn sample(&self, t: S) -> Point<S>[src]

Sample the curve at t (expecting t between 0 and 1).

pub fn x(&self, t: S) -> S[src]

Sample the x coordinate of the curve at t (expecting t between 0 and 1).

pub fn y(&self, t: S) -> S[src]

Sample the y coordinate of the curve at t (expecting t between 0 and 1).

pub fn derivative(&self, t: S) -> Vector<S>[src]

Sample the curve's derivative at t (expecting t between 0 and 1).

pub fn dx(&self, t: S) -> S[src]

Sample the x coordinate of the curve's derivative at t (expecting t between 0 and 1).

pub fn dy(&self, t: S) -> S[src]

Sample the y coordinate of the curve's derivative at t (expecting t between 0 and 1).

pub fn flip(&self) -> Self[src]

Swap the beginning and the end of the segment.

pub fn y_maximum_t(&self) -> S[src]

Find the advancement of the y-most position in the curve.

This returns the advancement along the curve, not the actual y position.

pub fn y_minimum_t(&self) -> S[src]

Find the advancement of the y-least position in the curve.

This returns the advancement along the curve, not the actual y position.

pub fn local_y_extremum_t(&self) -> Option<S>[src]

Return the y inflection point or None if this curve is y-monotonic.

pub fn x_maximum_t(&self) -> S[src]

Find the advancement of the x-most position in the curve.

This returns the advancement along the curve, not the actual x position.

pub fn x_minimum_t(&self) -> S[src]

Find the advancement of the x-least position in the curve.

This returns the advancement along the curve, not the actual x position.

pub fn local_x_extremum_t(&self) -> Option<S>[src]

Return the x inflection point or None if this curve is x-monotonic.

pub fn split_range(&self, t_range: Range<S>) -> Self[src]

Return the sub-curve inside a given range of t.

This is equivalent splitting at the range's end points.

pub fn split(
    &self,
    t: S
) -> (QuadraticBezierSegment<S>, QuadraticBezierSegment<S>)
[src]

Split this curve into two sub-curves.

pub fn before_split(&self, t: S) -> QuadraticBezierSegment<S>[src]

Return the curve before the split point.

pub fn after_split(&self, t: S) -> QuadraticBezierSegment<S>[src]

Return the curve after the split point.

pub fn to_cubic(&self) -> CubicBezierSegment<S>[src]

Elevate this curve to a third order bézier.

pub fn baseline(&self) -> LineSegment<S>[src]

pub fn is_linear(&self, tolerance: S) -> bool[src]

pub fn fat_line(&self) -> (LineEquation<S>, LineEquation<S>)[src]

Computes a "fat line" of this segment.

A fat line is two convervative lines between which the segment is fully contained.

pub fn transform(&self, transform: &Transform2D<S>) -> Self[src]

Applies the transform to this curve and returns the results.

pub fn flattening_step(&self, tolerance: S) -> S[src]

Find the interval of the begining of the curve that can be approximated with a line segment.

pub fn for_each_flattened<F: FnMut(Point<S>)>(
    &self,
    tolerance: S,
    call_back: &mut F
)
[src]

Iterates through the curve invoking a callback at each point.

pub fn flattened(&self, tolerance: S) -> Flattened<S>[src]

Returns the flattened representation of the curve as an iterator, starting after the current point.

pub fn for_each_monotonic_t<F>(&self, cb: F) where
    F: FnMut(S), 
[src]

Invokes a callback between each monotonic part of the segment.

pub fn for_each_monotonic_range<F>(&self, cb: F) where
    F: FnMut(Range<S>), 
[src]

Invokes a callback for each monotonic part of the segment..

pub fn for_each_monotonic<F>(&self, cb: &mut F) where
    F: FnMut(&Monotonic<QuadraticBezierSegment<S>>), 
[src]

pub fn approximate_length(&self, tolerance: S) -> S[src]

Compute the length of the segment using a flattened approximation.

pub fn bounding_triangle(&self) -> Triangle<S>[src]

Returns a triangle containing this curve segment.

pub fn fast_bounding_rect(&self) -> Rect<S>[src]

Returns a conservative rectangle that contains the curve.

pub fn fast_bounding_range_x(&self) -> (S, S)[src]

Returns a conservative range of x this curve is contained in.

pub fn fast_bounding_range_y(&self) -> (S, S)[src]

Returns a conservative range of y this curve is contained in.

pub fn bounding_rect(&self) -> Rect<S>[src]

Returns the smallest rectangle the curve is contained in

pub fn bounding_range_x(&self) -> (S, S)[src]

Returns the smallest range of x this curve is contained in.

pub fn bounding_range_y(&self) -> (S, S)[src]

Returns the smallest range of y this curve is contained in.

pub fn assume_monotonic(&self) -> MonotonicQuadraticBezierSegment<S>[src]

Cast this curve into a monotonic curve without checking that the monotonicity assumption is correct.

pub fn is_x_monotonic(&self) -> bool[src]

Returns whether this segment is monotonic on the x axis.

pub fn is_y_monotonic(&self) -> bool[src]

Returns whether this segment is monotonic on the y axis.

pub fn is_monotonic(&self) -> bool[src]

Returns whether this segment is fully monotonic.

pub fn line_intersections_t(&self, line: &Line<S>) -> ArrayVec<[S; 2]>[src]

Computes the intersections (if any) between this segment a line.

The result is provided in the form of the t parameters of each point along curve. To get the intersection points, sample the curve at the corresponding values.

pub fn line_intersections(&self, line: &Line<S>) -> ArrayVec<[Point<S>; 2]>[src]

Computes the intersection points (if any) between this segment a line.

pub fn line_segment_intersections_t(
    &self,
    segment: &LineSegment<S>
) -> ArrayVec<[(S, S); 2]>
[src]

Computes the intersections (if any) between this segment a line segment.

The result is provided in the form of the t parameters of each point along curve and segment. To get the intersection points, sample the segments at the corresponding values.

pub fn from(&self) -> Point<S>[src]

pub fn to(&self) -> Point<S>[src]

pub fn line_segment_intersections(
    &self,
    segment: &LineSegment<S>
) -> ArrayVec<[Point<S>; 2]>
[src]

Computes the intersection points (if any) between this segment a line segment.

Trait Implementations

impl<S: Scalar> Segment for QuadraticBezierSegment<S>[src]

type Scalar = S

impl<S: Scalar> FlatteningStep for QuadraticBezierSegment<S>[src]

fn flattened(self, tolerance: Self::Scalar) -> Flattened<Self::Scalar, Self>[src]

Returns the flattened representation of the curve as an iterator, starting after the current point. Read more

impl<S: Copy> Copy for QuadraticBezierSegment<S>[src]

impl<S: Clone> Clone for QuadraticBezierSegment<S>[src]

fn clone_from(&mut self, source: &Self)1.0.0[src]

Performs copy-assignment from source. Read more

impl<S: PartialEq> PartialEq<QuadraticBezierSegment<S>> for QuadraticBezierSegment<S>[src]

impl<S> From<QuadraticBezierSegment<S>> for BezierSegment<S>[src]

impl<S: Debug> Debug for QuadraticBezierSegment<S>[src]

Auto Trait Implementations

impl<S> Unpin for QuadraticBezierSegment<S> where
    S: Unpin

impl<S> Sync for QuadraticBezierSegment<S> where
    S: Sync

impl<S> Send for QuadraticBezierSegment<S> where
    S: Send

impl<S> UnwindSafe for QuadraticBezierSegment<S> where
    S: UnwindSafe

impl<S> RefUnwindSafe for QuadraticBezierSegment<S> where
    S: RefUnwindSafe

Blanket Implementations

impl<T> ToOwned for T where
    T: Clone
[src]

type Owned = T

The resulting type after obtaining ownership.

impl<T> From<T> for T[src]

impl<T, U> Into<U> for T where
    U: From<T>, 
[src]

impl<T, U> TryFrom<U> for T where
    U: Into<T>, 
[src]

type Error = Infallible

The type returned in the event of a conversion error.

impl<T, U> TryInto<U> for T where
    U: TryFrom<T>, 
[src]

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

impl<T> Borrow<T> for T where
    T: ?Sized
[src]

impl<T> BorrowMut<T> for T where
    T: ?Sized
[src]

impl<T> Any for T where
    T: 'static + ?Sized
[src]