Struct Trig2d 

pub struct Trig2d { /* private fields */ }

The affine-plus-trigonometric curve p(t) = c + d·t + a·cos t + b·sin t.

This is the family chart traces of oblique analytic sections live in: an oblique plane’s ellipse on a cylinder runs linearly in the chart angle and sinusoidally in height, which no line, conic or spline states exactly. Closed under similarity transforms and reversal, exact derivatives to any order.

Implementations

impl Trig2d

pub fn new( c: Point2, d: Vector2, a: Vector2, b: Vector2, domain: (f64, f64), ) -> OgeomResult<Self>

A trig curve over an increasing domain.

Errors

OgeomError::Construction if any coefficient is not finite or the domain is not increasing.

pub const fn constant(&self) -> Point2

The constant term.

pub const fn linear(&self) -> Vector2

The linear coefficient.

pub const fn cosine(&self) -> Vector2

The cosine coefficient.

pub const fn sine(&self) -> Vector2

The sine coefficient.

pub const fn is_reversed(&self) -> bool

Whether evaluation runs the domain backwards.

Trait Implementations

impl Clone for Trig2d

fn clone(&self) -> Trig2d

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for Trig2d

impl Curve2d for Trig2d

fn domain(&self) -> (f64, f64)

The parameter interval over which the curve is defined.

fn point_at(&self, u: f64, tol: Tolerances) -> OgeomResult<Point2>

The point at u.

fn d1_at(&self, u: f64, tol: Tolerances) -> OgeomResult<Vector2>

The first derivative at u.

fn derivatives_at( &self, u: f64, n: usize, tol: Tolerances, ) -> OgeomResult<Vec<Vector2>>

Derivatives up to order n, with result[0] the point itself.

fn kind(&self) -> CurveKind

What kind of curve this is.

fn is_closed(&self, tol: Tolerances) -> bool

Whether the curve’s ends meet.

fn is_periodic(&self) -> bool

Whether the curve continues past its domain by repeating.

fn start(&self, tol: Tolerances) -> OgeomResult<Point2>

The start point.

fn end(&self, tol: Tolerances) -> OgeomResult<Point2>

The end point.

impl Debug for Trig2d

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

Formats the value using the given formatter.

impl PartialEq for Trig2d

fn eq(&self, other: &Trig2d) -> 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 StructuralPartialEq for Trig2d