Struct NewtonFractal 

pub struct NewtonFractal {
    pub coeffs: Vec<Complex>,
    pub max_iter: u32,
    pub tol: f64,
    pub relax: Complex,
}

Newton’s method fractal for a polynomial p(z)/p’(z). Converges to roots; color by which root was reached.

Fields

coeffs: Vec<Complex>

Coefficients of p(z) = coeff[0] + coeff[1]*z + … + coeff[n]*z^n.

max_iter: u32

tol: f64

relax: Complex

Implementations

impl NewtonFractal

pub fn cubic_unity() -> Self

z^3 - 1 = 0 (classic 3-root Newton fractal).

pub fn quartic_unity() -> Self

z^4 - 1 = 0.

pub fn sample(&self, z0: Complex) -> (Option<usize>, u32, Complex)

Returns (converged_to_root_index, iterations, final_z).