Struct Arc3 

pub struct Arc3<T: Number> {
    pub s: Vector3<T>,
    pub m: Vector3<T>,
    pub e: Vector3<T>,
}

The circular arc from s through m to e.

Fields

s: Vector3<T>

m: Vector3<T>

e: Vector3<T>

Implementations

impl<T: Number> Arc3<T>

pub fn normal(&self) -> GeopResult<Vector3<T>>

The unit normal of its plane, the way it turns: from s to e it runs counter-clockwise about it.

pub fn half_sweep(&self) -> GeopResult<(T, T)>

cos and sin of half its sweep.

pub fn radius(&self) -> GeopResult<T>

Its radius: |a| |b| |e - s| / (2 |a x b|).

pub fn center(&self) -> GeopResult<Vector3<T>>

Its center: m + (|a|^2 b - |b|^2 a) x (a x b) / (2 |a x b|^2).

pub fn half_sweep_between( &self, p: &Vector3<T>, q: &Vector3<T>, ) -> GeopResult<(T, T)>

cos and sin of half the sweep from p to q along its circle, the way it turns — two points of the arc, q after p: the part of the arc between two of its points. The sine is the chord over the diameter, |q - p| / (2 r); the cosine is the sine of the whole sweep over twice the sine of half of it, n . ((p - c) x (q - c)) / (r |q - p|), which carries the sign of a sweep past a half turn without a case.

pub fn tangent(&self, at_end: bool) -> GeopResult<Vector3<T>>

Its unit tangent at end, in its own direction — from s to e: the chord’s direction turned back (at the start) or on (at the end) by half the sweep, in the arc’s plane.

Trait Implementations

impl<T: Clone + Number> Clone for Arc3<T>

fn clone(&self) -> Arc3<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Copy + Number> Copy for Arc3<T>

impl<T: Debug + Number> Debug for Arc3<T>

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

Formats the value using the given formatter.