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Arc

oxiphysics_geometry::parametric::types

Struct Arc

pub struct Arc {
    pub center: [f64; 3],
    pub radius: f64,
    pub start_angle: f64,
    pub end_angle: f64,
    pub u_axis: [f64; 3],
    pub v_axis: [f64; 3],
}

Expand description

A parametric circular arc in 3-D space.

The arc lies in a plane defined by two orthogonal unit vectors u_axis and v_axis. The arc sweeps from start_angle to end_angle (in radians) around center at the given radius.

Fields§

§center: [f64; 3]

Centre point of the arc.

§radius: f64

Radius of the arc.

§start_angle: f64

Start angle in radians.

§end_angle: f64

End angle in radians.

§u_axis: [f64; 3]

First axis of the arc plane (should be a unit vector).

§v_axis: [f64; 3]

Second axis of the arc plane (should be a unit vector perpendicular to u_axis).

Implementations§

impl Arc

pub fn in_xy_plane( center: [f64; 3], radius: f64, start_angle: f64, end_angle: f64, ) -> Self

Construct an arc in the XY plane.

pub fn evaluate(&self, t: f64) -> [f64; 3]

Evaluate the arc at parameter t ∈ [0, 1].

t = 0 gives start_angle, t = 1 gives end_angle.

pub fn tangent(&self, t: f64) -> [f64; 3]

Tangent vector at parameter t (not normalised).

pub fn arc_length(&self) -> f64

Arc length (exact: radius × |end_angle − start_angle|).

pub fn sample(&self, n: usize) -> Vec<[f64; 3]>

Sample the arc at n uniformly-spaced parameter values t ∈ [0, 1].

Auto Trait Implementations§

impl Freeze for Arc

impl RefUnwindSafe for Arc

impl Send for Arc

impl Sync for Arc

impl Unpin for Arc

impl UnsafeUnpin for Arc

impl UnwindSafe for Arc

Blanket Implementations§

impl<T> Any for T
where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T, U> Into<U> for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> Same for T

type Output = T

Should always be Self

impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

impl<T, U> TryFrom<U> for T
where U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.