wallswitch 0.60.9

//! Nova Julia liquid fractal generator overlay.
//!
//! This module implements the Nova Julia fractal, a formula combining
//! Newton-Raphson root-finding loops with a dynamic Julia-like perturbation constant.
//! It produces fluid, organic, plume-like structures resembling liquid metal, glowing
//! plasma currents, and detailed biological lattices.

use crate::effects::{
    ComplexEffectsExt, MAX_ITERATIONS, MIN_ITERATIONS, RelaxedEscape, RelaxedViewportConfig,
    optimize_relaxed_viewport, render_fractal_parallel,
};
use crate::{Complex, ImageEffect, NEON_PALETTES, NeonColor, get_random_integer};
use image::RgbImage;

/// Valid operational range for randomized zoom viewport allocation.
const ZOOM_RANGE: [f64; 2] = [1.2, 3.2];

/// Structural parameters governing the Nova fluid dynamics.
#[derive(Debug, Clone, Copy, PartialEq)]
pub struct NovaPreset {
    /// The integer exponent p in the polynomial formula z^p - 1.
    pub power: u32,
    /// The relaxation factor R represented as a complex scalar or vector coordinate.
    pub r: Complex,
    /// The perturbation constant c added at each iteration step.
    pub c: Complex,
    /// The user-friendly identifier name of the preset.
    pub name: &'static str,
}

/// A procedural generator for rendering Nova Julia fractals onto desktop backgrounds.
pub struct NovaGenerator {
    /// The active parameters defining the shape and behavior of the fractal.
    pub preset: NovaPreset,
    /// The maximum iteration limit for escape-time calculations.
    pub scan_iterations: u32,
    /// The base color palette selected for the neon glow.
    pub color_palette: NeonColor,
    /// The viewport zoom level.
    pub zoom: f64,
    /// The complex phasor representing the viewport rotation.
    pub rotation: Complex,
}

impl Default for NovaGenerator {
    fn default() -> Self {
        Self {
            preset: NovaPreset {
                power: 3,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(0.1, 0.15),
                name: "Liquid Mercury Flow",
            },
            scan_iterations: get_random_integer::<_, u32>(MIN_ITERATIONS / 12, MAX_ITERATIONS / 12)
                .max(50),
            color_palette: NEON_PALETTES[0],
            zoom: 1.8,
            rotation: Complex::one(),
        }
    }
}

impl ImageEffect for NovaGenerator {
    /// Applies the procedural effect in-place to a mutable image buffer.
    fn apply(&self, rgb_img: &mut RgbImage) {
        let scan_iterations = self.scan_iterations;
        let power = self.preset.power;
        let r = self.preset.r;
        let c = self.preset.c;
        let color_palette = self.color_palette;

        let (width, height) = rgb_img.dimensions();
        let w_f = width as f64;
        let h_f = height as f64;
        let aspect_ratio = w_f.max(h_f) / w_f.min(h_f);

        // Dynamically scale the edge fade radius to cover 98% of the maximum viewport extent
        let max_radius = 0.98 * 0.5 * self.zoom * aspect_ratio;

        render_fractal_parallel(
            rgb_img,
            self.zoom,
            self.rotation,
            Complex::new(0.0, 0.0),
            true,
            move |z_init, _scale| {
                let (i, diff_norm, z_final) =
                    compute_nova_escape(z_init, power, r, c, scan_iterations);

                // Leverage ComplexEffectsExt circular_fade on Complex coordinates directly
                let edge_fade = z_init.circular_fade(max_radius as f32, 0.40);

                let escape_state = RelaxedEscape {
                    iterations: i,
                    max_iterations: scan_iterations,
                    diff_norm,
                    z_final,
                };

                // Leverage RelaxedEscape::color method
                escape_state.color(color_palette, edge_fade, (1e-5_f64).ln() as f32, true)
            },
        );
    }

    /// Returns formatting diagnostic information about the active generator.
    fn info(&self) -> String {
        format!(
            "fractal [{}]\n\
            f(z) = z^{} - 1 = 0, where c = {:6.3} {} {:5.3}i (iter = {:4}, zoom = {:.2}), color: {}",
            self.preset.name,
            self.preset.power,
            self.preset.c.re,
            if self.preset.c.im >= 0.0 { "+" } else { "-" },
            self.preset.c.im.abs(),
            self.scan_iterations,
            self.zoom,
            self.color_palette
        )
    }
}

impl NovaGenerator {
    /// Generates a randomized Nova Julia configuration fitted to monitor proportions.
    pub fn random(monitor: &crate::Monitor) -> Self {
        let width = monitor.resolution.width as u32;
        let height = monitor.resolution.height as u32;

        let presets = [
            NovaPreset {
                power: 3,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(0.10, 0.15),
                name: "Liquid Mercury Flow",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(-0.20, 0.45),
                name: "Cosmic Plasma Flare",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(0.22, 0.10),
                name: "Ornate Coral Filigree",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(0.9, 0.0),
                c: Complex::new(-0.35, 0.25),
                name: "Nebulous Dust Whispers",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(-0.10, 0.35),
                name: "Gilded Lace Tapestry",
            },
            NovaPreset {
                power: 5,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(-0.05, 0.55),
                name: "Glacial Frost Lattice",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(1.15, 0.0),
                c: Complex::new(0.0, 0.12),
                name: "Spiritual Mandala Ripple",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(0.8, 0.0),
                c: Complex::new(0.30, -0.20),
                name: "Bioluminescent Spore Nest",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(0.18, -0.40),
                name: "Abyssal Trench Vines",
            },
            NovaPreset {
                power: 6,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(-0.15, 0.15),
                name: "Hyperdimensional Loom",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(1.0, 0.15),
                c: Complex::new(-0.15, 0.35),
                name: "Gothic Cathedral Rose",
            },
            NovaPreset {
                power: 5,
                r: Complex::new(0.85, 0.25),
                c: Complex::new(0.25, 0.05),
                name: "Quantum Foam Fluctuation",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(1.2, -0.10),
                c: Complex::new(-0.28, -0.28),
                name: "Stellar Nucleosynthesis",
            },
            NovaPreset {
                power: 6,
                r: Complex::new(0.95, 0.05),
                c: Complex::new(0.05, 0.42),
                name: "Emerald Moss Labyrinth",
            },
            NovaPreset {
                power: 7,
                r: Complex::new(1.0, 0.0),
                c: Complex::new(-0.08, 0.38),
                name: "Bismuth Crystal Citadel",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(0.75, -0.30),
                c: Complex::new(0.32, 0.18),
                name: "Astral Jellyfish Canopy",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(1.1, 0.15),
                c: Complex::new(-0.45, 0.10),
                name: "Solar Prominence Loops",
            },
            NovaPreset {
                power: 5,
                r: Complex::new(0.9, -0.20),
                c: Complex::new(-0.12, -0.32),
                name: "Aetheric Ley Line Matrix",
            },
            NovaPreset {
                power: 8,
                r: Complex::new(1.05, 0.10),
                c: Complex::new(0.15, 0.15),
                name: "Phytoplankton Radiance",
            },
            NovaPreset {
                power: 6,
                r: Complex::new(0.8, 0.40),
                c: Complex::new(-0.22, 0.22),
                name: "Chronos Vortex Gear",
            },
            NovaPreset {
                power: 5,
                r: Complex::new(1.0, 0.3),
                c: Complex::new(-0.18, 0.12),
                name: "Aeon Temple Portico",
            },
            NovaPreset {
                power: 8,
                r: Complex::new(0.9, -0.15),
                c: Complex::new(0.20, 0.35),
                name: "Hyperborean Crown",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(1.1, 0.45),
                c: Complex::new(-0.33, -0.05),
                name: "Abyssal Nautilus Shell",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(0.7, 0.5),
                c: Complex::new(0.15, -0.55),
                name: "Spectral Dragon Spine",
            },
            NovaPreset {
                power: 3,
                r: Complex::new(1.3, -0.2),
                c: Complex::new(0.25, 0.25),
                name: "Opalescent Silk Ribbons",
            },
            NovaPreset {
                power: 5,
                r: Complex::new(1.0, -0.4),
                c: Complex::new(-0.42, 0.18),
                name: "Phoenix Heart Nebula",
            },
            NovaPreset {
                power: 7,
                r: Complex::new(0.85, 0.1),
                c: Complex::new(0.30, -0.30),
                name: "Crystalline Geode Valley",
            },
            NovaPreset {
                power: 6,
                r: Complex::new(1.15, -0.3),
                c: Complex::new(-0.02, 0.48),
                name: "Eldritch Eye Lattice",
            },
            NovaPreset {
                power: 4,
                r: Complex::new(0.9, 0.35),
                c: Complex::new(-0.25, 0.30),
                name: "Prismatic Quantum Lattice",
            },
            NovaPreset {
                power: 9,
                r: Complex::new(1.0, 0.25),
                c: Complex::new(0.08, -0.28),
                name: "Void Weaver Spindle",
            },
        ];

        let p_idx: usize = get_random_integer(0, NEON_PALETTES.len() - 1);
        let color_palette = NEON_PALETTES[p_idx];

        let angle_degrees: f64 = get_random_integer(0, 359);
        let radians = angle_degrees.to_radians();

        let preset_idx: usize = get_random_integer(0, presets.len() - 1);
        let selected_preset = presets[preset_idx];

        let mut nova = Self {
            preset: selected_preset,
            scan_iterations: get_random_integer(40, 80),
            color_palette,
            zoom: 1.8,
            rotation: Complex::from_polar(1.0, radians),
        };

        nova.optimize_fit(width, height);
        nova
    }

    /// Automatically aligns viewport dimensions to frame the central fluid core.
    pub fn optimize_fit(&mut self, width: u32, height: u32) {
        let scan_iterations = self.scan_iterations;
        let power = self.preset.power;
        let r = self.preset.r;
        let c = self.preset.c;

        let config = RelaxedViewportConfig {
            width,
            height,
            search_limit: 1.6,
            steps: 64,
            zoom_range: ZOOM_RANGE,
            rand_range: [0.90, 1.35],
            fallback_range: [1.30, 2.80],
        };

        let (zoom, rotation) = optimize_relaxed_viewport(config, self.rotation, |z| {
            let (i, _, _) = compute_nova_escape(z, power, r, c, scan_iterations);
            i > 6 && i < scan_iterations - 2
        });

        self.zoom = zoom;
        self.rotation = rotation;
    }
}

/// Evaluates fluid convergence under the Nova-Julia recurrence relation.
#[inline(always)]
fn compute_nova_escape(
    z_init: Complex,
    power: u32,
    r: Complex,
    c: Complex,
    scan_iterations: u32,
) -> (u32, f64, Complex) {
    let mut z = z_init;
    let mut i = 0;
    let mut diff_norm = 1.0;

    while i < scan_iterations {
        let z_norm_sq = z.abs_sq();
        if z_norm_sq < 1e-6 {
            break;
        }
        if z_norm_sq > 100.0 {
            break;
        }

        let step = r * z.newton_step_term(power);
        let z_next = z - step + c;

        let diff = z_next - z;
        diff_norm = diff.abs_sq();

        if diff_norm < 1e-5 {
            z = z_next;
            break;
        }

        z = z_next;
        i += 1;
    }

    (i, diff_norm, z)
}

#[cfg(test)]
mod tests_nova {
    use super::*;
    use crate::core::Monitor;

    #[test]
    fn test_nova_generation_random() {
        let monitor = Monitor::default();
        let nova = NovaGenerator::random(&monitor);
        assert!(nova.zoom > 0.0);
        assert!(nova.preset.power > 0);
    }
}