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JuliaSet

oxiphysics_geometry::fractal_geometry::types

Struct JuliaSet 

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pub struct JuliaSet {
    pub cr: f64,
    pub ci: f64,
    pub max_iter: u32,
    pub escape_radius_sq: f64,
}
Expand description

A Julia set for the quadratic map z_{n+1} = z_n^2 + c with fixed c.

Points z_0 in the complex plane are classified by orbit behavior.

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§cr: f64

Real part of the constant c.

§ci: f64

Imaginary part of the constant c.

§max_iter: u32

Maximum iterations.

§escape_radius_sq: f64

Escape radius squared.

Implementations§

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impl JuliaSet

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pub fn new(cr: f64, ci: f64, max_iter: u32, escape_radius: f64) -> Self

Create a new Julia set with given c parameter.

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pub fn classic() -> Self

Classic Julia set c = -0.7 + 0.27015i.

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pub fn dendrite() -> Self

Dendrite Julia set c = 0 + i.

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pub fn escape_time(&self, zr: f64, zi: f64) -> Option<u32>

Compute escape time for an initial point z0 = (zr, zi).

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pub fn is_in_set(&self, zr: f64, zi: f64) -> bool

Check if a point is in the Julia set (orbit does not escape).

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pub fn classify_orbit(&self, zr: f64, zi: f64) -> OrbitType

Classify the orbit of z0: returns OrbitType.

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pub fn smooth_escape_time(&self, zr: f64, zi: f64) -> f64

Smooth escape time for coloring.

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pub fn render_grid( &self, x_min: f64, x_max: f64, y_min: f64, y_max: f64, width: usize, height: usize, ) -> Vec<Vec<Option<u32>>>

Render a grid of escape times.

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