Struct ContourIntegral 

pub struct ContourIntegral {
    pub path: Vec<Complex>,
}

A polygonal contour in the complex plane.

The path is represented as an ordered list of vertices; straight-line segments connect consecutive vertices. The contour is treated as closed when performing integrals or computing winding numbers.

Fields

path: Vec<Complex>

Ordered list of waypoints defining the polygonal path.

Implementations

impl ContourIntegral

pub fn new(path: Vec<Complex>) -> Self

Construct a new contour from a list of waypoints.

pub fn integrate(&self, f: impl Fn(Complex) -> Complex) -> Complex

Compute ∮_Γ f(z) dz by the trapezoidal rule.

The contour is automatically closed.

pub fn winding_number(&self, p: Complex) -> i32

Compute the winding number of the contour around point p.

The winding number counts (signed) how many times the closed path winds around p in the counter-clockwise direction.

Arguments

• p - query point

Returns

Winding number (positive = counter-clockwise, negative = clockwise).

Trait Implementations

impl Clone for ContourIntegral

fn clone(&self) -> ContourIntegral

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for ContourIntegral

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

Formats the value using the given formatter.