Struct IntrinsicPositionTable 

pub struct IntrinsicPositionTable { /* private fields */ }

Certified positions of an intrinsic curve over [0, end], read in any order: the unit tangent of its closed-form heading integrated by the composite two-point Gauss-Legendre rule, each point with a certified bound on its error (see the module documentation).

Implementations

impl IntrinsicPositionTable

pub fn new2( curve: &Intrinsic2, error: f64, end: f64, ) -> Option<IntrinsicPositionTable>

The table of a 2D intrinsic curve over [0, end], its points within about error, half of it spent on the remainders; None for an error or an end that is not finite and positive, an end past the curve’s length, a law with no closed-form bound of k to k''' on a seam-free piece, or more than MAX_TABLE_PANELS panels.

pub fn new3( curve: &Intrinsic3, error: f64, end: f64, ) -> Option<IntrinsicPositionTable>

The table of a planar space curve (its torsion law identically zero, Intrinsic3::is_planar); None as for Self::new2, or for a curve with torsion.

pub fn panels(&self) -> usize

The number of panels the table is cut into.

pub fn point2(&self, s: f64) -> Option<(DVec2, f64)>

The point at arc length s of a 2D curve and a certified bound on its distance from the exact point: the same bits whatever was read before. None outside [0, end], for a law that does not integrate there, or for a space curve.

pub fn point3(&self, s: f64) -> Option<(DVec3, f64)>

Self::point2 for a planar space curve.

pub fn max_error(&self) -> f64

A certified bound on the error of every point the table returns (the error of Self::point2 and Self::point3 grows with s and is never above it): the remainders of all panels and the roundings of the end, through the start frame.

pub fn heading_rounding(&self) -> f64

A certified bound on the rounding of the heading, in radians: what a tangent read from it may be turned by.

Trait Implementations

impl Clone for IntrinsicPositionTable

fn clone(&self) -> IntrinsicPositionTable

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for IntrinsicPositionTable

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

Formats the value using the given formatter.