Struct Ellipse

#[repr(C)]
pub struct Ellipse<T> {
    pub center: Point<T>,
    pub radius: (T, T),
    pub rotate: T,
}

An ellipse defined by center and axes.

Fields

center: Point<T>

The center points of the ellipse.

radius: (T, T)

The axes of the ellipse.

rotate: T

The rotation of the ellipse.

Implementations

impl<T> Ellipse<T>

where T: Clone + Real + FloatConst,

pub fn new<P>(center: P, radius: (T, T), angle: T) -> Self

where P: Into<Point<T>>,

Create a new ellipse with the center and the two axes and .

pub fn from_coefficient(a: T, b: T, c: T, d: T, e: T, f: T) -> Self

Create a new ellipse with the coefficient of equation.

a x^2 + b y^2 + c xy + d x + e y + f = 0

pub fn from_5_points( p1: Point<T>, p2: Point<T>, p3: Point<T>, p4: Point<T>, p5: Point<T>, ) -> Self

Create a new ellipse with 5 points.

impl<T> Ellipse<T>

where T: Zero + PartialEq,

pub fn is_horizontal(&self) -> bool

a / pi in Z

impl<T> Ellipse<T>

where T: Real,

pub fn major_axis(&self) -> &T

Return the center of the ellipse.

pub fn minor_axis(&self) -> &T

Get the minor axis of the ellipse.

pub fn homogeneous(&self) -> (T, T, T, T, T, T)

Return the homogeneous coefficients.

Ax^2 + 2Bxy + Cy^2 + 2Dx + 2Ey + F = 0

pub fn coefficients(&self) -> (T, T, T, T, T, T)

Return the coefficients.

a x^2 + b xy + c y^2 + d x + e y + f = 0

pub fn major_delta(&self) -> T

Get the major delta of the ellipse.

\Delta =
\begin{vmatrix}
A & B & D \\
B & C & E \\
D & E & F \\
\end{vmatrix}
= ACF+2BDE-AE^2-CD^2-FB^2

pub fn minor_delta(&self) -> T

Get the minor delta of the ellipse.

\delta =
\begin{vmatrix}
A & B \\
B & C \\
\end{vmatrix}
= AC - B^2

impl<T> Ellipse<T>

where T: Clone + Real + FromPrimitive + FloatConst,

pub fn sample_polygon(&self, n: usize) -> Polygon<T>

pub fn sample_polyline(&self, n: usize) -> Polyline<T>

pub fn sample_x(&self, t: &T) -> T

pub fn sample_y(&self, t: &T) -> T

Trait Implementations

impl<T: Clone> Clone for Ellipse<T>

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Ellipse<T>

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

Formats the value using the given formatter.

impl<'de, T> Deserialize<'de> for Ellipse<T>

where T: Deserialize<'de>,

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<T: Hash> Hash for Ellipse<T>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

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

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T: PartialEq> PartialEq for Ellipse<T>

fn eq(&self, other: &Ellipse<T>) -> 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<T> Projective<T> for Ellipse<T>

where T: Float + AddAssign,

fn transform(&mut self, _: &[&T; 9])

Transform by a 3×3 matrix.

fn translate(&mut self, x: &T, y: &T)

Transform by length $\delta x, \delta y$.

fn rotate(&mut self, angle: &T)

Transform by rotate degree $\alpha$.

fn translate_x(&mut self, x: &T)

Transform by length $\delta x$.

fn translate_y(&mut self, y: &T)

Transform by length $\delta y$.

fn rotate_point(&mut self, point: &[&T; 2], angle: &T)

Transform by rotate with a point $\alpha$.

fn scale(&mut self, x: &T, y: &T)

Transform by scale $x, y$.

fn scale_x(&mut self, x: &T)

Transform by scale $x$.

fn scale_y(&mut self, y: &T)

Transform by scale $y$.

fn reflect(&mut self, x: &T, y: &T)

Transform by skew $x, y$.

fn reflect_x(&mut self)

Transform by skew $x$.

fn reflect_y(&mut self)

Transform by skew $y$.

fn skew(&mut self, a: &T, b: &T)

Transform by angle $\alpha, \beta$.

fn skew_x(&mut self, a: &T)

Transform by angle $\alpha$.

fn skew_y(&mut self, b: &T)

Transform by angle $\beta$.

impl<T> Serialize for Ellipse<T>

where T: Serialize,

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<T: Copy> Copy for Ellipse<T>

impl<T: Eq> Eq for Ellipse<T>

impl<T> StructuralPartialEq for Ellipse<T>