Compare commits
2
Commits
| Author | SHA1 | Date | |
|---|---|---|---|
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0ae461aef2 | ||
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6b66d205ec |
@@ -61,11 +61,15 @@ pixel is a handful of `f32` complex multiplies.
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- `src/view.rs` — `ViewState`; center is arbitrary-precision `FBig` (`Big`
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type alias), pixel scale stays `f64` (still in-range at 10³⁰×). Precision
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(bits) scales with zoom depth (`precision_for`).
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- `src/fractal/reference.rs` — `FractalKind` enum (Mandelbrot, Burning Ship,
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Tricorn, Multibrot, Celtic, Perpendicular, Buffalo, Phoenix, Lambda) and
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`compute_reference`/`compute_set_reference`: iterate the chosen formula at
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high precision on the CPU, emitting `Z_n` as `f32` pairs — that's the
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reference orbit the GPU perturbs from.
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- `src/fractal/kind.rs` — the `FractalKind` enum (Mandelbrot, Burning Ship,
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Tricorn, Multibrot, Celtic, Perpendicular, Buffalo, Phoenix, Lambda,
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Complex Multibrot) plus everything that only needs to switch on it:
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`label`/`description`/`formula` (UI text), `share_tag`/`from_share_tag`
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(share-link encoding), `default_set_view` (per-kind starting view), and the
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`ALL` array used to enumerate every kind.
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- `src/fractal/reference.rs` — `compute_reference`/`compute_set_reference`:
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iterate the chosen formula at high precision on the CPU, emitting `Z_n` as
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`f32` pairs — that's the reference orbit the GPU perturbs from.
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- `src/shaders/*.wgsl` — none of these are standalone WGSL modules; WGSL has
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no `#include`, so each is compiled by concatenating plain-text fragments
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with `concat!`/`include_str!` at the `create_shader_module` call site (see
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@@ -106,29 +110,31 @@ pixel is a handful of `f32` complex multiplies.
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`should_request`/`ensure_reference` (decide when the reference is stale and
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dispatch/collect it), `make_uniforms` (assemble the per-frame `Uniforms`),
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`tick_animations` (drives the "morph c/p/λ" and auto-zoom animations),
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`default_view_for` (per-kind starting view). `KINDS`, `JULIA_PRESETS`, and
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`SET_PRESETS` are sized as `[T; FractalKind::<last variant> as usize + 1]` —
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adding a new `FractalKind` means bumping all three (and adding an empty
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`&[]` slot to the two preset arrays if the kind has none).
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`default_view_for` (wraps `FractalKind::default_set_view`, adding the
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kind-independent Julia case). `JULIA_PRESETS` and `SET_PRESETS` are sized as
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`[T; FractalKind::<last variant> as usize + 1]` — adding a new `FractalKind`
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means bumping both (and adding an empty `&[]` slot to each if the kind has
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none), plus adding it to `FractalKind::ALL` in `kind.rs`.
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- `src/fractal/share.rs` — `ShareState`: encodes the full view (mode, kind,
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full-precision decimal center, zoom, iterations, per-kind constants,
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coloring) as a `#`-fragment URL for bookmarking/sharing deep-zoom locations.
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### Adding a new `FractalKind`
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Touches, in order: `reference.rs` (enum variant + CPU iteration formula, and a
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test comparing against a naive `f64` iteration), `common.wgsl` (matching
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`KIND_*` const), `mandelbrot.wgsl` (matching `advance_delta`/`fprime` arms),
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`buddhabrot.wgsl` (matching arm in `advance()`, if the kind makes sense as a
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Buddhabrot), `renderer.rs`
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`Uniforms` (only if the kind needs a new per-kind constant, e.g. Phoenix's
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`phoenix_p`), `share.rs` (encode/decode string tag), `app.rs` (`KINDS` label,
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`JULIA_PRESETS`/`SET_PRESETS` slot, `default_view_for` entry, and optionally a
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UI control for its constant + an animation toggle, following the
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Phoenix/Lambda pattern). If `c` doesn't enter the formula additively (e.g. a
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rational map with `c` in a denominator), the `advance_delta`/`step_add` split
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doesn't work — that needs its own step function plus extra per-step reference
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data uploaded in a second GPU buffer alongside the orbit.
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Touches, in order: `kind.rs` (enum variant + `ALL` slot + `label`/
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`description`/`formula`/`share_tag`/`from_share_tag`/`default_set_view`
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arms), `reference.rs` (CPU iteration formula arm, and a test comparing
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against a naive `f64` iteration), `common.wgsl` (matching `KIND_*` const),
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`mandelbrot.wgsl` (matching `advance_delta`/`fprime` arms), `buddhabrot.wgsl`
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(matching arm in `advance()`, if the kind makes sense as a Buddhabrot),
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`renderer.rs` `Uniforms` (only if the kind needs a new per-kind constant,
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e.g. Phoenix's `phoenix_p`), `app.rs` (`JULIA_PRESETS`/`SET_PRESETS` slot,
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and optionally a UI control for its constant + an animation toggle,
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following the Phoenix/Lambda pattern). If `c` doesn't enter the formula
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additively (e.g. a rational map with `c` in a denominator), the
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`advance_delta`/`step_add` split doesn't work — that needs its own step
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function plus extra per-step reference data uploaded in a second GPU buffer
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alongside the orbit.
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### Buddhabrot is a separate pipeline
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+6
-64
@@ -46,49 +46,6 @@ pub enum FractalMode {
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Buddhabrot,
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}
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/// Selectable fractal formulas, with UI labels.
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const KINDS: &[(FractalKind, &str)] = &[
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(FractalKind::Mandelbrot, "Mandelbrot"),
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(FractalKind::BurningShip, "Burning Ship"),
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(FractalKind::Tricorn, "Tricorn"),
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(FractalKind::Multibrot, "Multibrot"),
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(FractalKind::Celtic, "Celtic"),
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(FractalKind::Perpendicular, "Perpendicular"),
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(FractalKind::Buffalo, "Buffalo"),
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(FractalKind::Phoenix, "Phoenix"),
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(FractalKind::Lambda, "Lambda"),
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(FractalKind::ComplexMultibrot, "Complex Multibrot"),
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];
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/// UI label for a fractal kind.
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fn kind_label(kind: FractalKind) -> &'static str {
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KINDS
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.iter()
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.find(|(k, _)| *k == kind)
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.map(|(_, name)| *name)
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.unwrap_or("Mandelbrot")
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}
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/// The iteration formula for a kind, in human-readable notation (mirrors the
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/// doc comments on `FractalKind`'s variants). `power` is only used by
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/// Multibrot; `complex_power` only by Complex Multibrot.
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fn kind_formula(kind: FractalKind, power: u32, complex_power: (f64, f64)) -> String {
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match kind {
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FractalKind::Mandelbrot => "z = z² + c".to_string(),
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FractalKind::BurningShip => "z = (|Re(z)| + i|Im(z)|)² + c".to_string(),
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FractalKind::Tricorn => "z = conj(z)² + c".to_string(),
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FractalKind::Multibrot => format!("z = z^{power} + c"),
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FractalKind::Celtic => "z = |Re(z²)| + i·Im(z²) + c".to_string(),
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FractalKind::Perpendicular => "z = (x² − y²) − 2x|y|i + c".to_string(),
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FractalKind::Buffalo => "z = |Re(z²)| − i|Im(z²)| + c".to_string(),
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FractalKind::Phoenix => "z = z² + c + p·z_prev".to_string(),
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FractalKind::Lambda => "z = λ·z(1 − z)".to_string(),
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FractalKind::ComplexMultibrot => {
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format!("z = z^({:.3}{:+.3}i) + c", complex_power.0, complex_power.1)
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}
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}
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}
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type JuliaPreset = (&'static str, f64, f64, u32, Option<(f64, f64)>);
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/// Nice-looking Julia constants offered as presets.
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@@ -697,18 +654,7 @@ impl FractalApp {
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if mode == FractalMode::Julia {
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return ViewState::with_center(big_from_f64(0.0, 53), big_from_f64(0.0, 53), 1.5);
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}
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let (cr, ci, hh) = match kind {
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FractalKind::Mandelbrot => (-0.5, 0.0, 1.25),
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FractalKind::BurningShip => (-0.5, -0.5, 1.3),
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FractalKind::Tricorn => (-0.25, 0.0, 1.6),
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FractalKind::Multibrot => (0.0, 0.0, 1.5),
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FractalKind::Celtic => (-0.5, 0.0, 1.6),
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FractalKind::Perpendicular => (-0.5, 0.0, 1.5),
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FractalKind::Buffalo => (-0.5, -0.5, 1.5),
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FractalKind::Phoenix => (0.0, 0.0, 1.6),
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FractalKind::Lambda => (0.0, 0.0, 1.6),
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FractalKind::ComplexMultibrot => (0.0, 0.0, 1.5),
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};
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let (cr, ci, hh) = kind.default_set_view();
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ViewState::with_center(big_from_f64(cr, 53), big_from_f64(ci, 53), hh)
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}
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@@ -1249,11 +1195,7 @@ impl FractalApp {
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.resizable(false)
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.anchor(egui::Align2::LEFT_BOTTOM, egui::vec2(8.0, -44.0))
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.show(ctx, |ui| {
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ui.label(
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egui::RichText::new(kind_label(self.kind))
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.strong()
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.heading(),
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);
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ui.label(egui::RichText::new(self.kind.label()).strong().heading());
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let mode_label = match self.mode {
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FractalMode::Mandelbrot => {
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"Mandelbrot mode — parameter space (c varies per pixel, z₀ = 0)"
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@@ -1268,7 +1210,7 @@ impl FractalApp {
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ui.label(format!(
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"formula: {}",
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kind_formula(self.kind, self.power, self.complex_power)
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self.kind.formula(self.power, self.complex_power)
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));
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if self.mode == FractalMode::Julia {
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ui.label(format!("c = {:.6} {:+.6}i", self.julia_c.0, self.julia_c.1));
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@@ -1517,10 +1459,10 @@ impl FractalApp {
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// since interesting regions differ between fractals.
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let prev_kind = self.kind;
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egui::ComboBox::from_label("fractal")
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.selected_text(kind_label(self.kind))
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.selected_text(self.kind.label())
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.show_ui(ui, |ui| {
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for &(kind, name) in KINDS {
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ui.selectable_value(&mut self.kind, kind, name);
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for kind in FractalKind::ALL {
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ui.selectable_value(&mut self.kind, kind, kind.label());
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}
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});
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if self.kind == FractalKind::Multibrot {
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@@ -0,0 +1,165 @@
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//! `FractalKind`: the enum selecting which iteration formula is in use, plus
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//! everything that only needs to switch on it (UI label/description/formula
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//! text, share-link tag, default parameter-plane view). The CPU/GPU orbit
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//! math itself lives in `reference.rs` (CPU reference orbit) and
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//! `shaders/mandelbrot.wgsl` (GPU perturbation delta) since both must also
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//! stay in sync with `common.wgsl`'s `KIND_*` constants.
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/// The iteration formula. Must be kept in sync with `advance_delta` and the
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/// `KIND_*` constants in the shader.
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#[repr(u8)]
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#[derive(Clone, Copy, PartialEq, Eq, Debug)]
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pub enum FractalKind {
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/// `z -> z^2 + c`.
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Mandelbrot = 0,
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/// `z -> (|Re z| + i|Im z|)^2 + c`.
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BurningShip = 1,
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/// `z -> conj(z)^2 + c` (the Mandelbar).
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Tricorn = 2,
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/// `z -> z^power + c` (power >= 2).
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Multibrot = 3,
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/// `z -> |Re(z^2)| + i·Im(z^2) + c` (abs on the real output of the square).
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Celtic = 4,
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/// `z -> (x^2 - y^2) - 2·x·|y|·i + c` (abs on the imaginary input).
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Perpendicular = 5,
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/// `z -> |Re(z^2)| - |Im(z^2)|·i + c` (abs on both outputs).
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Buffalo = 6,
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/// `z -> z^2 + c + p·z_{n-1}` (two-term recurrence; `p` is `phoenix_p`).
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Phoenix = 7,
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/// `z -> lambda·z(1 - z)` (logistic map).
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Lambda = 8,
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/// `z -> z^power + c`, where `power` is a complex constant (the
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/// `complex_power` argument), via the principal branch `z^p = exp(p·ln z)`.
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ComplexMultibrot = 9,
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}
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impl FractalKind {
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/// Every kind, in declaration/discriminant order. Sized arrays keyed by
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/// `kind as usize` (`JULIA_PRESETS`, `SET_PRESETS`) must have one slot per
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/// entry here.
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pub const ALL: [FractalKind; 10] = [
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FractalKind::Mandelbrot,
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FractalKind::BurningShip,
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FractalKind::Tricorn,
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FractalKind::Multibrot,
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FractalKind::Celtic,
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FractalKind::Perpendicular,
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FractalKind::Buffalo,
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FractalKind::Phoenix,
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FractalKind::Lambda,
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FractalKind::ComplexMultibrot,
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];
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pub fn description(&self) -> &'static str {
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match self {
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FractalKind::Mandelbrot => {
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"The Mandelbrot set is the most famous fractal set, obtained with the simplest escape-time formula. This set represents all Julia fractals: each points of the Mandelbrot set is related to a specific Julia fractal."
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}
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FractalKind::BurningShip => {
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"A variation of the famous Mandelbrot set, using absolute values on the real and imaginary part of each iterations."
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}
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FractalKind::Tricorn => {
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"The Tricorn set is obtained using the same formula as the Mandelbrot set, taking the complex conjugate of the previous iteration."
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}
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FractalKind::Multibrot => {
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"Multibrot use the same formula as the Mandelbrot set, with a bigger exposant."
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}
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FractalKind::Celtic => "",
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FractalKind::Perpendicular => "",
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FractalKind::Buffalo => "",
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FractalKind::Phoenix => "",
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FractalKind::Lambda => "",
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FractalKind::ComplexMultibrot => {
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"Like Multibrot, but the exponent itself is a complex number instead of a plain integer, via z^p = exp(p·ln z)."
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}
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}
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}
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/// UI label for this kind (combo box / info panel heading).
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pub fn label(&self) -> &'static str {
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match self {
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FractalKind::Mandelbrot => "Mandelbrot",
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FractalKind::BurningShip => "Burning Ship",
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FractalKind::Tricorn => "Tricorn",
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FractalKind::Multibrot => "Multibrot",
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FractalKind::Celtic => "Celtic",
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FractalKind::Perpendicular => "Perpendicular",
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FractalKind::Buffalo => "Buffalo",
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FractalKind::Phoenix => "Phoenix",
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FractalKind::Lambda => "Lambda",
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FractalKind::ComplexMultibrot => "Complex Multibrot",
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}
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}
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/// The iteration formula in human-readable notation (mirrors the doc
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/// comments on the variants above). `power` is only used by Multibrot;
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/// `complex_power` only by Complex Multibrot.
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pub fn formula(&self, power: u32, complex_power: (f64, f64)) -> String {
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match self {
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FractalKind::Mandelbrot => "z = z² + c".to_string(),
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FractalKind::BurningShip => "z = (|Re(z)| + i|Im(z)|)² + c".to_string(),
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FractalKind::Tricorn => "z = conj(z)² + c".to_string(),
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FractalKind::Multibrot => format!("z = z^{power} + c"),
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FractalKind::Celtic => "z = |Re(z²)| + i·Im(z²) + c".to_string(),
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FractalKind::Perpendicular => "z = (x² − y²) − 2x|y|i + c".to_string(),
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FractalKind::Buffalo => "z = |Re(z²)| − i|Im(z²)| + c".to_string(),
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FractalKind::Phoenix => "z = z² + c + p·z_prev".to_string(),
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FractalKind::Lambda => "z = λ·z(1 − z)".to_string(),
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FractalKind::ComplexMultibrot => {
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format!("z = z^({:.3}{:+.3}i) + c", complex_power.0, complex_power.1)
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}
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}
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}
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/// Short tag used to identify this kind in a share-link fragment.
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pub fn share_tag(&self) -> &'static str {
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match self {
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FractalKind::Mandelbrot => "mandel",
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FractalKind::BurningShip => "burning",
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FractalKind::Tricorn => "tricorn",
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FractalKind::Multibrot => "multi",
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FractalKind::Celtic => "celtic",
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FractalKind::Perpendicular => "perp",
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FractalKind::Buffalo => "buffalo",
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FractalKind::Phoenix => "phoenix",
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FractalKind::Lambda => "lambda",
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FractalKind::ComplexMultibrot => "cmulti",
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}
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}
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/// Inverse of `share_tag`; unknown tags fall back to `None` so the caller
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/// can decide the default (matches historical share-link behavior).
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pub fn from_share_tag(tag: &str) -> Option<FractalKind> {
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Some(match tag {
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"mandel" => FractalKind::Mandelbrot,
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"burning" => FractalKind::BurningShip,
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"tricorn" => FractalKind::Tricorn,
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"multi" => FractalKind::Multibrot,
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"celtic" => FractalKind::Celtic,
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"perp" => FractalKind::Perpendicular,
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"buffalo" => FractalKind::Buffalo,
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"phoenix" => FractalKind::Phoenix,
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"lambda" => FractalKind::Lambda,
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"cmulti" => FractalKind::ComplexMultibrot,
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_ => return None,
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})
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}
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/// Default parameter-plane (Mandelbrot-mode) view for this kind, as
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/// `(center_re, center_im, half_height)`. The Julia (dynamical) plane
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/// doesn't vary by kind, so it isn't covered here.
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pub fn default_set_view(&self) -> (f64, f64, f64) {
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match self {
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FractalKind::Mandelbrot => (-0.5, 0.0, 1.25),
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FractalKind::BurningShip => (-0.5, -0.5, 1.3),
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FractalKind::Tricorn => (-0.25, 0.0, 1.6),
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FractalKind::Multibrot => (0.0, 0.0, 1.5),
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FractalKind::Celtic => (-0.5, 0.0, 1.6),
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FractalKind::Perpendicular => (-0.5, 0.0, 1.5),
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FractalKind::Buffalo => (-0.5, -0.5, 1.5),
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FractalKind::Phoenix => (0.0, 0.0, 1.6),
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FractalKind::Lambda => (0.0, 0.0, 1.6),
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FractalKind::ComplexMultibrot => (0.0, 0.0, 1.5),
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||||
}
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||||
}
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||||
}
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+3
-1
@@ -2,12 +2,14 @@
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||||
//! egui paint callback.
|
||||
|
||||
pub mod buddhabrot;
|
||||
pub mod kind;
|
||||
pub mod reference;
|
||||
pub mod renderer;
|
||||
pub mod share;
|
||||
|
||||
pub use buddhabrot::{BuddhabrotCallback, BuddhabrotRenderer, BuddhabrotUniforms};
|
||||
pub use reference::{FractalKind, compute_reference, compute_set_reference};
|
||||
pub use kind::FractalKind;
|
||||
pub use reference::{compute_reference, compute_set_reference};
|
||||
#[cfg(target_arch = "wasm32")]
|
||||
pub use renderer::encode_png_with_progress;
|
||||
#[cfg(not(target_arch = "wasm32"))]
|
||||
|
||||
@@ -10,57 +10,9 @@
|
||||
//! * Mandelbrot-set: `z0 = 0`, `c = view center` (the c-plane point per pixel).
|
||||
//! * Julia-set: `z0 = view center`, `c = fractal constant` (fixed per view).
|
||||
|
||||
use super::kind::FractalKind;
|
||||
use crate::view::{Big, big_from_f64};
|
||||
|
||||
/// The iteration formula. Must be kept in sync with `advance_delta` and the
|
||||
/// `KIND_*` constants in the shader.
|
||||
#[repr(u8)]
|
||||
#[derive(Clone, Copy, PartialEq, Eq, Debug)]
|
||||
pub enum FractalKind {
|
||||
/// `z -> z^2 + c`.
|
||||
Mandelbrot = 0,
|
||||
/// `z -> (|Re z| + i|Im z|)^2 + c`.
|
||||
BurningShip = 1,
|
||||
/// `z -> conj(z)^2 + c` (the Mandelbar).
|
||||
Tricorn = 2,
|
||||
/// `z -> z^power + c` (power >= 2).
|
||||
Multibrot = 3,
|
||||
/// `z -> |Re(z^2)| + i·Im(z^2) + c` (abs on the real output of the square).
|
||||
Celtic = 4,
|
||||
/// `z -> (x^2 - y^2) - 2·x·|y|·i + c` (abs on the imaginary input).
|
||||
Perpendicular = 5,
|
||||
/// `z -> |Re(z^2)| - |Im(z^2)|·i + c` (abs on both outputs).
|
||||
Buffalo = 6,
|
||||
/// `z -> z^2 + c + p·z_{n-1}` (two-term recurrence; `p` is `phoenix_p`).
|
||||
Phoenix = 7,
|
||||
/// `z -> lambda·z(1 - z)` (logistic map).
|
||||
Lambda = 8,
|
||||
/// `z -> z^power + c`, where `power` is a complex constant (the
|
||||
/// `complex_power` argument), via the principal branch `z^p = exp(p·ln z)`.
|
||||
ComplexMultibrot = 9,
|
||||
}
|
||||
|
||||
impl FractalKind {
|
||||
pub fn description(&self) -> &str {
|
||||
match self {
|
||||
FractalKind::Mandelbrot => {
|
||||
"The Mandelbrot set is the most famous fractal set, obtained with the simplest escape-time formula. This set represents all Julia fractals: each points of the Mandelbrot set is related to a specific Julia fractal."
|
||||
}
|
||||
FractalKind::BurningShip => {
|
||||
"A variation of the famous Mandelbrot set, using absolute values on the real and imaginary part of each iterations."
|
||||
}
|
||||
FractalKind::Tricorn => "The Tricorn set is obtained using the same formula as the Mandelbrot set, taking the complex conjugate of the previous iteration.",
|
||||
FractalKind::Multibrot => "Multibrot use the same formula as the Mandelbrot set, with a bigger exposant.",
|
||||
FractalKind::Celtic => "",
|
||||
FractalKind::Perpendicular => "",
|
||||
FractalKind::Buffalo => "",
|
||||
FractalKind::Phoenix => "",
|
||||
FractalKind::Lambda => "",
|
||||
FractalKind::ComplexMultibrot => "Like Multibrot, but the exponent itself is a complex number instead of a plain integer, via z^p = exp(p·ln z).",
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// Reference orbit escapes once |Z|^2 exceeds this. Kept larger than the pixel
|
||||
/// bailout so pixels escaping alongside the reference can still reach their
|
||||
/// bailout before the stored orbit runs out.
|
||||
|
||||
+2
-28
@@ -39,21 +39,7 @@ impl ShareState {
|
||||
pub fn encode(&self) -> String {
|
||||
let mut s = String::new();
|
||||
s.push_str(if self.julia { "m=j" } else { "m=m" });
|
||||
s.push_str(&format!(
|
||||
"&f={}",
|
||||
match self.kind {
|
||||
FractalKind::Mandelbrot => "mandel",
|
||||
FractalKind::BurningShip => "burning",
|
||||
FractalKind::Multibrot => "multi",
|
||||
FractalKind::Tricorn => "tricorn",
|
||||
FractalKind::Celtic => "celtic",
|
||||
FractalKind::Perpendicular => "perp",
|
||||
FractalKind::Buffalo => "buffalo",
|
||||
FractalKind::Phoenix => "phoenix",
|
||||
FractalKind::Lambda => "lambda",
|
||||
FractalKind::ComplexMultibrot => "cmulti",
|
||||
}
|
||||
));
|
||||
s.push_str(&format!("&f={}", self.kind.share_tag()));
|
||||
s.push_str(&format!("&pw={}", self.power));
|
||||
s.push_str(&format!(
|
||||
"&re={}&im={}&hh={}&it={}",
|
||||
@@ -86,19 +72,7 @@ impl ShareState {
|
||||
julia: map.get("m").map(|m| *m == "j").unwrap_or(false),
|
||||
kind: map
|
||||
.get("f")
|
||||
.map(|f| match *f {
|
||||
"mandel" => FractalKind::Mandelbrot,
|
||||
"multi" => FractalKind::Multibrot,
|
||||
"burning" => FractalKind::BurningShip,
|
||||
"tricorn" => FractalKind::Tricorn,
|
||||
"celtic" => FractalKind::Celtic,
|
||||
"perp" => FractalKind::Perpendicular,
|
||||
"buffalo" => FractalKind::Buffalo,
|
||||
"phoenix" => FractalKind::Phoenix,
|
||||
"lambda" => FractalKind::Lambda,
|
||||
"cmulti" => FractalKind::ComplexMultibrot,
|
||||
_ => FractalKind::Mandelbrot,
|
||||
})
|
||||
.and_then(|f| FractalKind::from_share_tag(f))
|
||||
.unwrap_or(FractalKind::Mandelbrot),
|
||||
power: map.get("pw").and_then(|s| s.parse().ok()).unwrap_or(2),
|
||||
center_re: (*map.get("re")?).to_string(),
|
||||
|
||||
+1
-1
@@ -33,7 +33,7 @@ pub fn run(cli: Cli) -> Result<(), String> {
|
||||
app.compute_reference_blocking();
|
||||
|
||||
let (device, queue) = pollster::block_on(request_device())?;
|
||||
let format = wgpu::TextureFormat::Rgba8UnormSrgb;
|
||||
let format = wgpu::TextureFormat::Bgra8Unorm;
|
||||
let renderer = FractalRenderer::new(&device, format);
|
||||
let (pipeline, bind_group_layout, format) = renderer.export_handles();
|
||||
|
||||
|
||||
Reference in New Issue
Block a user