Struct Ellipse 

#[non_exhaustive]
pub struct Ellipse {
    pub level: f64,
    pub scale: f64,
    pub center_east_m: f64,
    pub center_north_m: f64,
    pub semi_major_m: f64,
    pub semi_minor_m: f64,
    pub major_heading_rad: f64,
}

An ellipse on the ground, holding a share of the landings. Built by Ellipse::gaussian, Scatter::ellipse or Scatter::prediction_ellipse; it serializes as its fields and reads back through checks on each.

Fields (Non-exhaustive)

Non-exhaustive structs could have additional fields added in future. Therefore, non-exhaustive structs cannot be constructed in external crates using the traditional Struct { .. } syntax; cannot be matched against without a wildcard ..; and struct update syntax will not work.

level: f64

Its level, in (0, 1): the share of a normal spread it holds, or for a prediction ellipse the probability that the next flight lands inside it.

scale: f64

Its scale k: the semi-axes are k standard deviations along each axis.

center_east_m: f64

Its center, east of the pad, m.

center_north_m: f64

Its center, north of the pad, m.

semi_major_m: f64

Half its long axis, m.

semi_minor_m: f64

Half its short axis, m; zero for landings on a line.

major_heading_rad: f64

Its long axis’s heading, clockwise from north, in [0, π).

Implementations

impl Ellipse

pub fn gaussian( center_east_m: f64, center_north_m: f64, covariance: &Covariance, level: f64, ) -> Result<Self, AnalysisError>

The ellipse holding the share level of a normal spread with the mean (center_east_m, center_north_m) and the covariance covariance, both known: its scale is gaussian_scale.

Errors

AnalysisError::Domain for a level outside (0, 1), a center that isn’t finite, or a covariance so large that an axis overflows.

pub fn area_m2(&self) -> f64

Its area, π a b, m².

pub fn contains(&self, east_m: f64, north_m: f64) -> bool

Whether the point east_m, north_m (m from the pad) lies inside or on the ellipse.

Neither semi-axis is taken below 10⁻¹² of the ellipse’s size and distance from the pad (a + |center east| + |center north|). Rounding in the center, the heading and this test’s rotation puts a point that lies on a flat ellipse’s axis (a zero minor axis, from landings on a line) a few units of rounding off it, and the floor keeps it inside. Against any real spread the floor is far below a millimeter.

Trait Implementations

impl Clone for Ellipse

fn clone(&self) -> Ellipse

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for Ellipse

impl Debug for Ellipse

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Ellipse

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl PartialEq for Ellipse

fn eq(&self, other: &Ellipse) -> 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 Serialize for Ellipse

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for Ellipse