Struct Ellipse2D 

pub struct Ellipse2D { /* private fields */ }

A 2D ellipse defined by center and two semi-axis lengths.

Parameterized as P(t) = center + a*cos(t)*u + b*sin(t)*v where u = (cos(rotation), sin(rotation)) and v = (-sin(rotation), cos(rotation)).

Implementations

impl Ellipse2D

pub fn new( center: Point2, semi_major: f64, semi_minor: f64, rotation: f64, ) -> Result<Self, MathError>

Creates a new 2D ellipse.

Errors

Returns MathError::ParameterOutOfRange if either semi-axis is not positive.

pub fn evaluate(&self, t: f64) -> Point2

Evaluates the ellipse at parameter t (radians).

pub fn tangent(&self, t: f64) -> Vec2

Returns the tangent vector at parameter t.

pub const fn center(&self) -> Point2

Returns the center.

pub const fn semi_major(&self) -> f64

Returns the semi-major axis length.

pub const fn semi_minor(&self) -> f64

Returns the semi-minor axis length.

pub const fn rotation(&self) -> f64

Returns the rotation angle.

pub fn approximate_circumference(&self) -> f64

Approximate circumference using Ramanujan’s formula.

Trait Implementations

impl Clone for Ellipse2D

fn clone(&self) -> Ellipse2D

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Ellipse2D

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Ellipse2D

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for Ellipse2D

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

where __S: Serializer,

Serialize this value into the given Serde serializer.