14 Commits

Author SHA1 Message Date
bspeice fc76a8308a Add image accumulation
CI / cargo fmt (push) Failing after 27s
CI / cargo test (push) Failing after 53s
CI / cargo test (GPU) (push) Successful in 13m6s
2026-08-02 11:10:25 -04:00
bspeice 0d2e80145c Add color blending 2026-08-01 15:52:44 -04:00
bspeice 7adb747625 Add a color coordinate to the chaos game
All shader-related code has been removed; GPU entry points will be added once there's a better understanding of how the API should work.
2026-08-01 15:48:54 -04:00
bspeice 7ff19631ba Merge pull request 'Add clippy, fix up warnings' (#7) from clippy into main
CI / cargo fmt (push) Successful in 25s
CI / cargo test (push) Successful in 12m39s
CI / cargo test (GPU) (push) Successful in 16m24s
Reviewed-on: #7
2026-07-12 15:50:24 -04:00
bspeice 9ea4261a84 Add clippy, fix up warnings
CI / cargo fmt (push) Successful in 23s
CI / cargo test (push) Successful in 12m44s
CI / cargo test (GPU) (push) Successful in 16m32s
2026-07-12 14:46:06 -04:00
bspeice 81f23c1bd8 Merge pull request 'Implement post-transform coefficients' (#6) from post_transform into main
CI / cargo fmt (push) Successful in 27s
CI / cargo test (push) Successful in 12m43s
CI / cargo test (GPU) (push) Successful in 12m25s
Reviewed-on: #6
2026-07-12 13:43:22 -04:00
bspeice 08ada94bd2 Implement post-transform coefficients
CI / cargo fmt (push) Successful in 1m25s
CI / cargo test (push) Successful in 14m59s
CI / cargo test (GPU) (push) Successful in 16m50s
2026-07-12 10:05:19 -04:00
bspeice 4005e14ab0 Merge pull request 'Include examples as part of cargo check' (#5) from ci_all_targets into main
CI / cargo fmt (push) Successful in 22s
CI / cargo test (push) Successful in 13m7s
CI / cargo test (GPU) (push) Successful in 12m35s
Reviewed-on: #5
2026-07-03 17:48:20 -04:00
bspeice 3bd01da563 Include examples as part of cargo check
CI / cargo fmt (push) Successful in 23s
CI / cargo test (push) Successful in 13m22s
CI / cargo test (GPU) (push) Successful in 12m35s
2026-07-03 16:23:11 -04:00
bspeice 616bd2ae6d Merge pull request 'Variation' (#3) from variation into main
CI / cargo fmt (push) Successful in 27s
CI / cargo test (push) Successful in 14m32s
CI / cargo test (GPU) (push) Successful in 16m32s
Reviewed-on: #3
2026-07-03 09:29:05 -04:00
bspeice 86ef0887e3 Fix RNG transmutation
CI / cargo test (push) Successful in 14m31s
CI / cargo test (GPU) (push) Successful in 12m49s
CI / cargo fmt (push) Successful in 28s
2026-06-29 20:40:12 -04:00
bspeice 3c5563c940 Add documentation for recent functions
CI / cargo fmt (push) Successful in 28s
CI / cargo test (push) Successful in 14m23s
CI / cargo test (GPU) (push) Successful in 13m26s
2026-06-28 15:03:52 -04:00
bspeice c3224fadd8 Upgrade rand/rand_xoshiro version
CI / cargo fmt (push) Successful in 32s
CI / cargo test (push) Failing after 29s
CI / cargo test (GPU) (push) Successful in 17m53s
2026-06-27 18:27:43 -04:00
bspeice 44b71c2692 Add entry points for GPU 2026-06-27 18:25:41 -04:00
15 changed files with 481 additions and 897 deletions
+5 -2
View File
@@ -21,7 +21,10 @@ jobs:
steps:
- uses: actions/checkout@v6
- uses: actions-rust-lang/setup-rust-toolchain@v1
- run: cargo check
with:
components: clippy
- run: cargo check --all-targets
- run: cargo clippy --all-targets
- run: cargo test
test-gpu:
@@ -30,5 +33,5 @@ jobs:
steps:
- uses: actions/checkout@v6
- uses: actions-rust-lang/setup-rust-toolchain@v1
- run: cargo install --git https://github.com/rust-gpu/rust-gpu cargo-gpu
- run: cargo install --git https://github.com/rust-gpu/rust-gpu cargo-gpu --rev 67f1ff2
- run: cargo gpu check --auto-install-rust-toolchain -p enkou-shaders
Generated
+3 -687
View File
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@@ -360,15 +263,6 @@ dependencies = [
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@@ -389,23 +283,6 @@ dependencies = [
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@@ -678,16 +426,6 @@ version = "1.12.2"
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@@ -708,19 +446,13 @@ dependencies = [
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@@ -752,27 +484,12 @@ version = "0.2.16"
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source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d540f220d3187173da220f885ab66608367b6574e925011a9353e4badda91d79"
dependencies = [
"proc-macro2",
"quote",
"syn",
]
[[package]]
name = "serde_json"
version = "1.0.150"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "e8014e44b4736ed0538adeecded0fce2a272f22dc9578a7eb6b2d9993c74cfb9"
dependencies = [
"itoa",
"memchr",
"serde",
"serde_core",
"zmij",
]
[[package]]
name = "serde_spanned"
version = "0.6.9"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bf41e0cfaf7226dca15e8197172c295a782857fcb97fad1808a166870dee75a3"
dependencies = [
"serde",
]
[[package]]
name = "shlex"
version = "2.0.1"
@@ -1352,41 +899,6 @@ version = "1.15.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "8ed6a63f02c8539c91a8685a86f4099661ba3da017932f6ebbea6de3f0fa7c90"
[[package]]
name = "spirv"
version = "0.3.0+sdk-1.3.268.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "eda41003dc44290527a59b13432d4a0379379fa074b70174882adfbdfd917844"
dependencies = [
"bitflags 2.13.0",
"serde",
]
[[package]]
name = "spirv"
version = "0.4.0+sdk-1.4.341.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d9571ea910ebd84c86af4b3ed27f9dbdc6ad06f17c5f96146b2b671e2976744f"
dependencies = [
"bitflags 2.13.0",
]
[[package]]
name = "spirv-builder"
version = "0.10.0-alpha.1"
source = "git+https://github.com/Rust-GPU/rust-gpu.git?rev=67f1ff2#67f1ff27272a1dff82776a5ad7388c738e0b31be"
dependencies = [
"cargo_metadata",
"log",
"memchr",
"raw-string",
"rustc_codegen_spirv-types",
"semver",
"serde",
"serde_json",
"thiserror",
]
[[package]]
name = "spirv-std"
version = "0.10.0-alpha.1"
@@ -1433,17 +945,6 @@ dependencies = [
"unicode-ident",
]
[[package]]
name = "synstructure"
version = "0.13.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "728a70f3dbaf5bab7f0c4b1ac8d7ae5ea60a4b5549c8a5914361c99147a709d2"
dependencies = [
"proc-macro2",
"quote",
"syn",
]
[[package]]
name = "tempfile"
version = "3.27.0"
@@ -1451,7 +952,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "32497e9a4c7b38532efcdebeef879707aa9f794296a4f0244f6f69e9bc8574bd"
dependencies = [
"fastrand",
"getrandom 0.3.4",
"getrandom",
"once_cell",
"rustix",
"windows-sys",
@@ -1491,93 +992,12 @@ dependencies = [
"zune-jpeg",
]
[[package]]
name = "tinystr"
version = "0.8.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "c8323304221c2a851516f22236c5722a72eaa19749016521d6dff0824447d96d"
dependencies = [
"displaydoc",
"zerovec",
]
[[package]]
name = "toml"
version = "0.8.23"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "dc1beb996b9d83529a9e75c17a1686767d148d70663143c7854d8b4a09ced362"
dependencies = [
"serde",
"serde_spanned",
"toml_datetime",
"toml_edit",
]
[[package]]
name = "toml_datetime"
version = "0.6.11"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "22cddaf88f4fbc13c51aebbf5f8eceb5c7c5a9da2ac40a13519eb5b0a0e8f11c"
dependencies = [
"serde",
]
[[package]]
name = "toml_edit"
version = "0.22.27"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "41fe8c660ae4257887cf66394862d21dbca4a6ddd26f04a3560410406a2f819a"
dependencies = [
"indexmap",
"serde",
"serde_spanned",
"toml_datetime",
"toml_write",
"winnow",
]
[[package]]
name = "toml_write"
version = "0.1.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "5d99f8c9a7727884afe522e9bd5edbfc91a3312b36a77b5fb8926e4c31a41801"
[[package]]
name = "typeid"
version = "1.0.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bc7d623258602320d5c55d1bc22793b57daff0ec7efc270ea7d55ce1d5f5471c"
[[package]]
name = "unicode-ident"
version = "1.0.24"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "e6e4313cd5fcd3dad5cafa179702e2b244f760991f45397d14d4ebf38247da75"
[[package]]
name = "unicode-xid"
version = "0.2.6"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ebc1c04c71510c7f702b52b7c350734c9ff1295c464a03335b00bb84fc54f853"
[[package]]
name = "url"
version = "2.5.8"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ff67a8a4397373c3ef660812acab3268222035010ab8680ec4215f38ba3d0eed"
dependencies = [
"form_urlencoded",
"idna",
"percent-encoding",
"serde",
]
[[package]]
name = "utf8_iter"
version = "1.0.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "b6c140620e7ffbb22c2dee59cafe6084a59b5ffc27a8859a5f0d494b5d52b6be"
[[package]]
name = "v_frame"
version = "0.3.9"
@@ -1589,12 +1009,6 @@ dependencies = [
"wasm-bindgen",
]
[[package]]
name = "wasi"
version = "0.11.1+wasi-snapshot-preview1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ccf3ec651a847eb01de73ccad15eb7d99f80485de043efb2f370cd654f4ea44b"
[[package]]
name = "wasip2"
version = "1.0.4+wasi-0.2.12"
@@ -1670,56 +1084,18 @@ dependencies = [
"windows-link",
]
[[package]]
name = "winnow"
version = "0.7.15"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "df79d97927682d2fd8adb29682d1140b343be4ac0f08fd68b7765d9c059d3945"
dependencies = [
"memchr",
]
[[package]]
name = "wit-bindgen"
version = "0.57.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "1ebf944e87a7c253233ad6766e082e3cd714b5d03812acc24c318f549614536e"
[[package]]
name = "writeable"
version = "0.6.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "1ffae5123b2d3fc086436f8834ae3ab053a283cfac8fe0a0b8eaae044768a4c4"
[[package]]
name = "y4m"
version = "0.8.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "7a5a4b21e1a62b67a2970e6831bc091d7b87e119e7f9791aef9702e3bef04448"
[[package]]
name = "yoke"
version = "0.8.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "709fe23a0424b6a435d82152b1bd3fdfb0833487d5fa90d05d42762a9891fef5"
dependencies = [
"stable_deref_trait",
"yoke-derive",
"zerofrom",
]
[[package]]
name = "yoke-derive"
version = "0.8.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "de844c262c8848816172cef550288e7dc6c7b7814b4ee56b3e1553f275f1858e"
dependencies = [
"proc-macro2",
"quote",
"syn",
"synstructure",
]
[[package]]
name = "zerocopy"
version = "0.8.52"
@@ -1740,66 +1116,6 @@ dependencies = [
"syn",
]
[[package]]
name = "zerofrom"
version = "0.1.8"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "0ec05a11813ea801ff6d75110ad09cd0824ddba17dfe17128ea0d5f68e6c5272"
dependencies = [
"zerofrom-derive",
]
[[package]]
name = "zerofrom-derive"
version = "0.1.7"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "11532158c46691caf0f2593ea8358fed6bbf68a0315e80aae9bd41fbade684a1"
dependencies = [
"proc-macro2",
"quote",
"syn",
"synstructure",
]
[[package]]
name = "zerotrie"
version = "0.2.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "0f9152d31db0792fa83f70fb2f83148effb5c1f5b8c7686c3459e361d9bc20bf"
dependencies = [
"displaydoc",
"yoke",
"zerofrom",
]
[[package]]
name = "zerovec"
version = "0.11.6"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "90f911cbc359ab6af17377d242225f4d75119aec87ea711a880987b18cd7b239"
dependencies = [
"yoke",
"zerofrom",
"zerovec-derive",
]
[[package]]
name = "zerovec-derive"
version = "0.11.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "625dc425cab0dca6dc3c3319506e6593dcb08a9f387ea3b284dbd52a92c40555"
dependencies = [
"proc-macro2",
"quote",
"syn",
]
[[package]]
name = "zmij"
version = "1.0.21"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "b8848ee67ecc8aedbaf3e4122217aff892639231befc6a1b58d29fff4c2cabaa"
[[package]]
name = "zune-core"
version = "0.5.1"
+1 -2
View File
@@ -1,7 +1,6 @@
[workspace]
members = [
"enkou-shaders",
"enkou-shaders-tests",
]
resolver = "3"
@@ -13,6 +12,7 @@ license = "MIT"
repository = ""
[workspace.lints.rust]
missing_docs = { level = "warn" }
unexpected_cfgs = { level = "allow", check-cfg = ['cfg(target_arch, values("spirv"))'] }
[workspace.dependencies]
@@ -25,6 +25,5 @@ glam = { version = "0.33.1", default-features = false, features = ["bytemuck", "
image = { version = "0.25.10", default-features = false, features = ["default-formats"]}
libm = "0.2.16"
rand = { version = "0.10.1", default-features = false }
rspirv = "0.13.0"
rand_xoshiro = "0.8.1"
tempfile = "3.27.0"
-18
View File
@@ -1,18 +0,0 @@
[package]
name = "enkou-shaders-tests"
publish = false
version.workspace = true
authors.workspace = true
edition.workspace = true
license.workspace = true
repository.workspace = true
[lints]
workspace = true
[dependencies]
rspirv.workspace = true
[build-dependencies]
anyhow.workspace = true
cargo-gpu-install.workspace = true
-24
View File
@@ -1,24 +0,0 @@
use cargo_gpu_install::install::Install;
use cargo_gpu_install::spirv_builder::{ShaderPanicStrategy, SpirvMetadata};
use std::path::PathBuf;
pub fn main() -> anyhow::Result<()> {
let manifest_dir = env!("CARGO_MANIFEST_DIR");
let crate_path = [manifest_dir, "..", "enkou-shaders"]
.iter()
.copied()
.collect::<PathBuf>();
let install = Install::from_shader_crate(crate_path.clone())
.within_build_script()
.run()?;
let mut builder = install.to_spirv_builder(crate_path, "spirv-unknown-vulkan1.3");
builder.build_script.defaults = true;
builder.shader_panic_strategy = ShaderPanicStrategy::SilentExit;
builder.spirv_metadata = SpirvMetadata::Full;
let compile_result = builder.build()?;
let spv_path = compile_result.module.unwrap_single();
println!("cargo::rustc-env=SHADER_SPV_PATH={}", spv_path.display());
Ok(())
}
-67
View File
@@ -1,67 +0,0 @@
#[cfg(test)]
mod test {
use rspirv::binary::parse_bytes;
use rspirv::dr::{Module, Operand};
use rspirv::spirv::ExecutionModel;
use std::sync::OnceLock;
static SHADER_MODULE: OnceLock<Module> = OnceLock::new();
fn shader() -> &'static Module {
SHADER_MODULE.get_or_init(|| {
let shader_bytes = include_bytes!(env!("SHADER_SPV_PATH"));
let mut loader = rspirv::dr::Loader::new();
parse_bytes(shader_bytes, &mut loader).expect("Unable to parse shader");
loader.module()
})
}
fn has_entry_point(execution_model: ExecutionModel, name: &str) -> bool {
for ref entry_point in shader().entry_points.iter() {
let operands: Vec<Operand> = entry_point
.operands
.iter()
.filter(|op| match op {
Operand::ExecutionModel(_) | Operand::LiteralString(_) => true,
_ => false,
})
.map(|op| op.clone())
.collect();
assert_eq!(operands.len(), 2);
match &operands[0] {
Operand::ExecutionModel(actual) => {
if execution_model != *actual {
continue;
}
}
op => panic!("Unexpected operand; {}", op),
}
match &operands[1] {
Operand::LiteralString(actual) => {
if name != actual {
continue;
}
}
op => panic!("Unexpected operand; {}", op),
}
return true;
}
false
}
#[test]
pub fn has_entry_main_fs() {
assert!(has_entry_point(ExecutionModel::Fragment, "main_fs"))
}
#[test]
pub fn has_entry_main_vs() {
assert!(has_entry_point(ExecutionModel::Vertex, "main_vs"))
}
}
+1 -1
View File
@@ -14,10 +14,10 @@ bytemuck.workspace = true
glam.workspace = true
libm.workspace = true
rand.workspace = true
rand_xoshiro.workspace = true
spirv-std.workspace = true
[dev-dependencies]
anyhow.workspace = true
image.workspace = true
rand_xoshiro.workspace = true
tempfile.workspace = true
+106
View File
@@ -0,0 +1,106 @@
//! # Fractal flame
//!
//! The `flam3` sources include example parameters (`test.flam3`) to demonstrate the fractal flame algorithm,
//! which are copied here and used to generate an image that can be compared against the reference `flam3` renderer
use anyhow::Result;
use enkou_shaders::chaos_game::ChaosGame;
use enkou_shaders::transform::Transform;
use enkou_shaders::variation::{Variation, VariationKind};
use glam::{UVec2, UVec3, UVec4, Vec2, Vec2Swizzles, Vec4};
use rand::SeedableRng;
use rand_xoshiro::Xoshiro256StarStar;
use enkou_shaders::camera::Camera;
use enkou_shaders::image::BlendMode;
const ITERATIONS_DISCARD: usize = 100;
const IMAGE_DIMENSIONS: UVec2 = UVec2::new(640, 480);
const IMAGE_QUALITY: f32 = 10.0;
// Palette data copied from `flam3-palettes.xml`.
// Palettes are ASCII hexadecimal strings; two characters form a byte,
// and bytes are grouped in triplets to get a single RGB color.
const PALETTE: &'static str = "\
00dadebc00eee6c500eef2ce00eef2cf00e6eee100eaeed800f2f1eb00f2f5d8
00e6f2ce00deeac500d6dac600ced2bc00c2caa900becaa000ced6aa00dee2c5
00eaedce00eaf2c500dee2c500c2caaa00aebeaa00a5b29600a2a98d0096a284
008d8d7a0085897100858d710085856700797d6700797d670071795e00656d55
004d5d4200344025003040250030381c002c3c1c002c341c00242c1200242400
00242c0900283409003840120030401c0040502f0055694200657555006c7d5e
00748d710074898400748d8400788d840079897a0079857100757d670071795e
006c715e006d705e006c795e0068755e00697155006d7555006d755500697155
0065715500696d550064715e006870670068706700686c67006c6c5e0071715e
0079796700818571007d91710085927a0085927a007d9284007992840078928d
00788d8d00748d84007492840075927a006c85670064795e0059694b00aa5700
0038441c00303c1c002c3c1c003440250050614b005d6d5e0064715e0060715e
0060755e0068755e006c795e006c795e0071796700707967006c7d6700687967
006c7967006c75670071755e0071755e0075795e00757d5e00818d5e008d925e
008d9267009a9a71009aa27a009aa27a009aa17a00929a71008992670081855e
007d7d550069794b00616d4200444c250038441c0040512500454d2500716d42
00797d4b00817d5500797955006d755500697d55006c795e006579540068795e
00647967006479670068755e0064715e00646c5e00656d55004d584200344025
002c381c0020281c001c1409001818000004140000081000000c1800001c2809
00243012003c4425005d6555007579550085895e008991710096a271009aa27a
009eaa7a009eaa7a00aaae7100a6aa7a00a2aa7a00a1a57a00969e7a0085967a
0081927a0078927a0075927a00758d7a00708167007d7d670089896700929a71
009eaa7a00aab68400b2b68d00b6ba9700c2ca9700b2be8d00b2b68d00aab28d
00a2ae84009aa67a00929e7a00859a7a007d967a007d927a007d9284007d9284
0081968400859684008596840081928400859a8400859a84008d9a8400929684
009ea98400aeb28400aaba8400b2be8d00b6c2a000c6caa000c6ceaa00d6dab3
00dae2c500d2d6bc00bec2a000aab68d009ea67a00929a710089897100817d67
007d7d6700817867007d7d5e0079795e0079815e00817d6700817d6700818167
008189710085917a0089927a00969d7a00969e7a0092968400969a8d00929284
0089918400819284007d928d0078928d0074928d0078928d007896970081968d
0081968d00819a8d00859a8d00899e8d00899e8d008da2970095a297008da297
0096a68d009aa18d009ea984009ea67a00a2a571009ea671009aa67100959d71";
/// Generate an image
pub fn main() -> Result<()> {
let transforms: &[Transform] = &[];
let weights = [0.25; 4];
let variations = [Variation::new(
VariationKind::Spherical,
1.0,
[0.0; 4].into(),
)];
let camera = Camera::new(IMAGE_DIMENSIONS, Vec2::ZERO, 0.0, Vec2::ZERO, (IMAGE_DIMENSIONS / 2).as_vec2());
let palette_chars: String = PALETTE.chars().filter(|c| c.is_alphanumeric()).collect();
let palette_bytes: Vec<u8> = (0..palette_chars.len())
.step_by(2)
.map(|i| {
let s = &palette_chars[i..i + 2];
let b = u8::from_str_radix(s, 16).expect("illegal palette value");
b
})
.collect();
let palette_colors: Vec<Vec4> = palette_bytes
.chunks(3)
.map(|chunk| [chunk[0] as f32, chunk[1] as f32, chunk[2] as f32, 255.0].into())
.collect();
let mut rng = Xoshiro256StarStar::from_seed([4u8; 32]);
let chaos_game = ChaosGame::new(&mut rng, transforms, &weights, &variations);
let mut image_accum: Vec<Vec4> = Vec::new();
image_accum.resize(IMAGE_DIMENSIONS.element_product() as usize, Vec4::ZERO);
let iterations: usize = (IMAGE_DIMENSIONS.element_product() as f32 * IMAGE_QUALITY) as usize;
chaos_game.skip(ITERATIONS_DISCARD).take(iterations).for_each(|(ifs_point, ifs_color)| {
let pixel_point = camera.transform_point_to_image(ifs_point);
if pixel_point.is_none() {
return;
}
let pixel_point = pixel_point.unwrap();
let pixel_index = pixel_point.y * IMAGE_DIMENSIONS.x + pixel_point.x;
let pixel_color = BlendMode::Linear.ifs_to_rgb(ifs_color, palette_colors.as_ref());
image_accum[pixel_index as usize] += pixel_color;
});
Ok(())
}
+44 -33
View File
@@ -1,8 +1,15 @@
//! # Sierpinski Gasket
//!
//! The Sierpinski Gasket is a simple iterated function system (IFS) that demonstrates
//! the basic principles of using the "chaos game" to generate images. Using a set of three
//! transforms, generate new points in the function system using the chaos game,
//! then plot those points and display the resulting image.
use anyhow::{Context, Result};
use enkou_shaders::Coefficients2;
use enkou_shaders::camera::Camera;
use enkou_shaders::chaos_game::ChaosGame;
use enkou_shaders::transform::Transform;
use enkou_shaders::variation::Variation;
use glam::{Affine2, UVec2, Vec2, uvec2};
use image::{GrayImage, Luma};
use rand::SeedableRng;
@@ -11,26 +18,33 @@ use std::mem;
use std::process::Command;
use tempfile::NamedTempFile;
const ITERATIONS: u32 = 50_000;
const ITERATIONS_DISCARD: u32 = 20;
const ITERATIONS_DISCARD: usize = 20;
const IMAGE_DIMENSION: UVec2 = uvec2(600, 600);
const IMAGE_QUALITY: f32 = 1.0;
/// Build and display a simple fractal - the Sierpinski Gasket
pub fn main() -> Result<()> {
let seed: u64 = 4; // chosen by fair dice roll
let mut rng = Xoshiro256StarStar::seed_from_u64(seed);
let mut rng = Xoshiro256StarStar::from_seed([4u8; 32]);
let transforms = [
// F_0: (x / 2, y / 2)
Transform::new(Affine2::from_coefficients(0.5, 0.0, 0.0, 0.0, 0.5, 0.0)),
// F_1: ((x + 1) / 2, y / 2)
Transform::new(Affine2::from_coefficients(0.5, 0.0, 0.5, 0.0, 0.5, 0.0)),
// F_2: (x / 2, (y + 1) / 2)
Transform::new(Affine2::from_coefficients(0.5, 0.0, 0.0, 0.0, 0.5, 0.5)),
{
// F_0: (x / 2, y / 2)
let coefficients = Affine2::from_coefficients(0.5, 0.0, 0.0, 0.0, 0.5, 0.0);
Transform::new(coefficients, Affine2::IDENTITY, uvec2(0, 1), 0.0, 0.5)
},
{
// F_1: ((x + 1) / 2, y / 2)
let coefficients = Affine2::from_coefficients(0.5, 0.0, 0.5, 0.0, 0.5, 0.0);
Transform::new(coefficients, Affine2::IDENTITY, uvec2(0, 1), 0.5, 0.5)
},
{
// F_2: (x / 2, (y + 1) / 2)
let coefficients = Affine2::from_coefficients(0.5, 0.0, 0.0, 0.0, 0.5, 0.5);
Transform::new(coefficients, Affine2::IDENTITY, uvec2(0, 1), 1.0, 0.5)
},
];
let weights = [1.0 / 3.0, 1.0 / 3.0, 1.0 / 3.0];
let mut image = GrayImage::new(IMAGE_DIMENSION.x, IMAGE_DIMENSION.y);
let variations = [Variation::IDENTITY];
// The gasket is defined on the range [0, 1] for both X and Y
let camera = Camera::new(
@@ -41,31 +55,28 @@ pub fn main() -> Result<()> {
IMAGE_DIMENSION.as_vec2(),
);
let mut chaos_game = ChaosGame::new(&mut rng, &transforms, &weights);
for i in 0..ITERATIONS {
let next_point = chaos_game.next().unwrap();
let mut image = GrayImage::new(IMAGE_DIMENSION.x, IMAGE_DIMENSION.y);
let chaos_game = ChaosGame::new(&mut rng, &transforms, &weights, &variations);
if i < ITERATIONS_DISCARD {
continue;
}
if let Some(next_point) = camera.transform_point_to_image(next_point) {
image.put_pixel(next_point.x, next_point.y, Luma([255u8]))
}
}
let iterations = (IMAGE_DIMENSION.element_product() as f32 * IMAGE_QUALITY) as usize;
chaos_game
.skip(ITERATIONS_DISCARD)
.take(iterations)
.for_each(|(ifs_point, _)| {
if let Some(pixel_point) = camera.transform_point_to_image(ifs_point) {
image.put_pixel(pixel_point.x, pixel_point.y, Luma([255u8]));
}
});
let temp = NamedTempFile::with_suffix(".png").context("Unable to create file for image")?;
image.save(temp.path()).context("Unable to save image")?;
let open_program = cfg_select! {
unix => "xdg-open",
_ => panic!("Unknown system"),
};
Command::new(open_program)
.arg(temp.path())
.spawn()?
.wait()?;
let mut command = cfg_select! {
unix => Command::new("xdg-open").arg(temp.path()).spawn(),
windows => Command::new("PowerShell").arg("-Command").arg(format!("start {}", temp.path().display())).spawn(),
_ => Err(anyhow::anyhow!("No available program to open images"))?
}?;
command.wait()?;
// In case the image viewer forks and gives control back prior to reading the file,
// drop it and don't run the destructor
+24 -5
View File
@@ -26,14 +26,14 @@ impl Camera {
///
/// * `dimensions` - Width and height of the output image (in pixels).
/// * `center` - Location of the origin in IFS coordinates. Positive `x` shifts the image
/// left, and positive `y` position shifts the image up.
/// left, and positive `y` position shifts the image up.
/// * `rotate` - Rotation angle (in radians) of IFS coordinates. Rotation is applied after the
/// `center` translation, so it is about the new origin.
/// `center` translation, so it is about the new origin.
/// * `zoom` - Zoom factor applied to IFS coordinates. IFS coordinates are scaled by
/// `pow(2, zoom)`, so a zoom factor of 0 is the identity.
/// `pow(2, zoom)`, so a zoom factor of 0 is the identity.
/// * `scale` - Pixels per unit of IFS coordinates. This parameter is usually chosen such
/// that the largest dimension will cover the range `[-2, 2]`, but values higher or lower
/// can be used as a secondary zoom.
/// that the largest dimension will cover the range `[-2, 2]`, but values higher or lower
/// can be used as a secondary zoom.
pub fn new(dimensions: UVec2, center: Vec2, rotate: f32, zoom: Vec2, scale: Vec2) -> Camera {
let ifs_center_transform = Affine2::from_translation(-center);
let zoom_transform = Affine2::from_scale(vec2(powf(2.0, zoom.x), powf(2.0, zoom.y)));
@@ -90,6 +90,25 @@ impl Camera {
}
}
/// Shader entry point for running the camera transformation over a list of IFS coordinates
pub mod entry {
use crate::camera::Camera;
use spirv_std::glam::{IVec2, Vec2};
use spirv_std::spirv;
/// Transform IFS coordinates to pixel coordinates
#[spirv(compute(entry_point_name = "main_camera", threads(1)))]
pub fn main_camera(
#[spirv(storage_buffer, descriptor_set = 0, binding = 0)] camera: &Camera,
#[spirv(storage_buffer, descriptor_set = 0, binding = 1)] coordinates_ifs: &[Vec2],
#[spirv(storage_buffer, descriptor_set = 1, binding = 0)] coordinates_pixel: &mut [IVec2],
) {
for i in 0..coordinates_ifs.len() {
coordinates_pixel[i] = camera.transform_point(coordinates_ifs[i])
}
}
}
#[cfg(test)]
mod test {
use crate::camera::Camera;
+17 -9
View File
@@ -12,11 +12,12 @@
//!
//! This algorithm is also known as the ["chaos game"](https://en.wikipedia.org/wiki/Chaos_game),
//! and it forms the basic system for producing images.
use crate::transform::Transform;
use crate::variation::Variation;
use glam::{Vec2, vec2};
use rand::distr::{Distribution, StandardUniform};
use rand::{Rng, RngExt};
use spirv_std::glam::{Vec2, vec2};
struct BiUnit;
impl Distribution<f32> for BiUnit {
@@ -35,16 +36,17 @@ impl Distribution<f32> for BiUnit {
/// * `weights` - Weights are assumed to be normalized; adding all elements together should return the value 1
pub fn step_chaos_game<R: Rng>(
point: Vec2,
color: f32,
rng: &mut R,
transforms: &[Transform],
weights: &[f32],
variations: &[Variation],
) -> (Vec2, u32) {
) -> (Vec2, f32) {
let mut choice_weight = rng.sample::<f32, _>(StandardUniform);
let mut transform_index: u32 = 0;
for weight in weights {
choice_weight -= weight;
for i in 0..weights.len() {
choice_weight -= weights[i];
if choice_weight <= 0.0 {
break;
}
@@ -52,9 +54,10 @@ pub fn step_chaos_game<R: Rng>(
transform_index += 1;
}
let transform = &transforms[transform_index as usize];
(
transforms[transform_index as usize].transform_point(rng, variations, point),
transform_index,
transform.transform_point(rng, variations, point),
transform.transform_color(color),
)
}
@@ -64,6 +67,7 @@ pub fn step_chaos_game<R: Rng>(
/// New points in the chaos game are produced by iterating on the chaos game.
pub struct ChaosGame<'a, R: Rng> {
current_point: Vec2,
current_color: f32,
rng: &'a mut R,
transforms: &'a [Transform],
weights: &'a [f32],
@@ -79,8 +83,10 @@ impl<'a, R: Rng> ChaosGame<'a, R> {
variations: &'a [Variation],
) -> Self {
let current_point = vec2(rng.sample(BiUnit), rng.sample(BiUnit));
let current_color = rng.sample(StandardUniform);
ChaosGame {
current_point,
current_color,
rng,
transforms,
weights,
@@ -90,18 +96,20 @@ impl<'a, R: Rng> ChaosGame<'a, R> {
}
impl<'a, R: Rng> Iterator for ChaosGame<'a, R> {
type Item = Vec2;
type Item = (Vec2, f32);
fn next(&mut self) -> Option<Self::Item> {
let (next_point, _) = step_chaos_game(
let (next_point, next_color) = step_chaos_game(
self.current_point,
self.current_color,
self.rng,
self.transforms,
self.weights,
self.variations,
);
self.current_point = next_point;
self.current_color = next_color;
Some(next_point)
Some((next_point, next_color))
}
}
+84
View File
@@ -0,0 +1,84 @@
//! Image
use glam::Vec4;
use libm::floorf;
/// Blending modes for mapping IFS color values (which are on a scale `[0, 1]`)
/// to RGBA colors.
#[derive(Copy, Clone, Default)]
#[repr(u32)]
pub enum BlendMode {
/// Map IFS color values to a linear blend of the nearest two palette colors
#[default]
Linear = 0,
/// Map IFS color values to the nearest single palette color
Step = 1,
}
impl BlendMode {
/// Map an IFS color value to RGBA color from the provided palette.
pub fn ifs_to_rgb(&self, color: f32, palette: &[Vec4]) -> Vec4 {
let colors_m_one = palette.len() - 1;
let period = 1.0 / colors_m_one as f32;
let index_lower = floorf(color / period) as usize;
let index_upper = (index_lower + 1).clamp(0, colors_m_one);
let rem = color % period / period;
match self {
BlendMode::Linear => palette[index_lower].lerp(palette[index_upper], rem),
BlendMode::Step => palette[index_lower],
}
}
}
// UNSAFE: Sound because enum has guaranteed layout (u32) and defined zero-value
unsafe impl bytemuck::Zeroable for BlendMode {}
// UNSAFE: Sound because enum has guaranteed layout (u32) and defined zero-value
unsafe impl bytemuck::Pod for BlendMode {}
#[cfg(test)]
mod test {
use crate::image::BlendMode;
use glam::Vec4;
#[test]
fn blend_linear() {
let ifs_to_rgb = |color, palette| BlendMode::Linear.ifs_to_rgb(color, palette);
let palette = &[Vec4::splat(0.0), Vec4::splat(1.0)];
assert_eq!(ifs_to_rgb(0.0, palette), Vec4::splat(0.0));
assert_eq!(ifs_to_rgb(0.5, palette), Vec4::splat(0.5));
assert_eq!(ifs_to_rgb(1.0, palette), Vec4::splat(1.0));
let palette = &[Vec4::splat(1.0), Vec4::splat(2.0), Vec4::splat(3.0)];
assert_eq!(ifs_to_rgb(0.0, palette), Vec4::splat(1.0));
assert_eq!(ifs_to_rgb(0.5, palette), Vec4::splat(2.0));
assert_eq!(ifs_to_rgb(1.0, palette), Vec4::splat(3.0));
let palette = &[
Vec4::splat(1.0),
Vec4::splat(2.0),
Vec4::splat(3.0),
Vec4::splat(4.0),
];
assert_eq!(ifs_to_rgb(0.0, palette), Vec4::splat(1.0));
assert_eq!(ifs_to_rgb(0.5, palette), Vec4::splat(2.5));
assert_eq!(ifs_to_rgb(1.0, palette), Vec4::splat(4.0));
}
#[test]
fn blend_step() {
let ifs_to_rgb = |color, palette| BlendMode::Step.ifs_to_rgb(color, palette);
let palette = &[Vec4::splat(0.0), Vec4::splat(1.0)];
assert_eq!(ifs_to_rgb(0.5, palette), Vec4::splat(0.0));
let palette = &[Vec4::splat(1.0), Vec4::splat(2.0), Vec4::splat(3.0)];
assert_eq!(ifs_to_rgb(0.0, palette), palette[0]);
assert_eq!(ifs_to_rgb(0.25, palette), palette[0]);
assert_eq!(ifs_to_rgb(0.4, palette), palette[0]);
assert_eq!(ifs_to_rgb(0.5, palette), palette[1]);
assert_eq!(ifs_to_rgb(0.7, palette), palette[1]);
assert_eq!(ifs_to_rgb(1.0, palette), palette[2]);
}
}
+39 -39
View File
@@ -1,18 +1,14 @@
//! # Enkou
#![no_std]
#![warn(missing_docs)]
#![allow(clippy::needless_range_loop)] // SPIR-V backend has issues with iteration over items
pub mod camera;
pub mod chaos_game;
pub mod image;
pub mod transform;
mod variation;
pub mod variation;
use bytemuck::{Pod, Zeroable};
use core::f32::consts::PI;
use glam::{Affine2, Vec3, Vec4, vec2, vec3};
#[cfg(target_arch = "spirv")]
use spirv_std::num_traits::Float;
use spirv_std::spirv;
use glam::Affine2;
/// Utility trait to convert between `flam3` notation and [`glam`].
#[allow(missing_docs)]
@@ -39,6 +35,28 @@ pub trait Coefficients2 {
/// ```
fn from_coefficients(a: f32, b: f32, c: f32, d: f32, e: f32, f: f32) -> Affine2;
/// Convert affine transformation coefficients to the [`glam`] representation.
/// Parameters use the following form:
///
/// ```text
/// (a * x + b * y + c, d * x + e * y + f)
/// ```
///
/// ```
/// # use glam::{Affine2, vec2};
/// # use crate::enkou_shaders::Coefficients2;
/// let coefs = Affine2::from_coefficients_arr([1.0, 2.0, 3.0, 4.0, 5.0, 6.0]);
/// let (x, y) = (7.0, 8.0);
/// assert_eq!(
/// coefs.transform_point2(vec2(x, y)),
/// vec2(
/// coefs.a() * x + coefs.b() * y + coefs.c(),
/// coefs.d() * x + coefs.e() * y + coefs.f()
/// )
/// );
/// ```
fn from_coefficients_arr(coefficients: [f32; 6]) -> Affine2;
fn a(&self) -> f32;
fn b(&self) -> f32;
fn c(&self) -> f32;
@@ -48,10 +66,23 @@ pub trait Coefficients2 {
}
impl Coefficients2 for Affine2 {
#[inline]
fn from_coefficients(a: f32, b: f32, c: f32, d: f32, e: f32, f: f32) -> Affine2 {
Affine2::from_cols_array(&[a, d, b, e, c, f])
}
#[inline]
fn from_coefficients_arr(coefficients: [f32; 6]) -> Affine2 {
Affine2::from_coefficients(
coefficients[0],
coefficients[1],
coefficients[2],
coefficients[3],
coefficients[4],
coefficients[5],
)
}
fn a(&self) -> f32 {
self.matrix2.x_axis.x
}
@@ -76,34 +107,3 @@ impl Coefficients2 for Affine2 {
self.translation.y
}
}
#[derive(Copy, Clone, Pod, Zeroable)]
#[repr(C)]
#[allow(missing_docs)]
pub struct ShaderConstants {
pub width: u32,
pub height: u32,
pub time: f32,
}
#[spirv(fragment)]
#[allow(missing_docs)]
pub fn main_fs(vtx_color: Vec3, output: &mut Vec4) {
*output = Vec4::from((vtx_color, 1.));
}
#[spirv(vertex)]
#[allow(missing_docs)]
pub fn main_vs(
#[spirv(vertex_index)] vert_id: i32,
#[spirv(descriptor_set = 0, binding = 0, storage_buffer)] constants: &ShaderConstants,
#[spirv(position)] vtx_pos: &mut Vec4,
vtx_color: &mut Vec3,
) {
let speed = 0.4;
let time = constants.time * speed + vert_id as f32 * (2. * PI * 120. / 360.);
let position = vec2(f32::sin(time), f32::cos(time));
*vtx_pos = Vec4::from((position, 0.0, 1.0));
*vtx_color = [vec3(1., 0., 0.), vec3(0., 1., 0.), vec3(0., 0., 1.)][vert_id as usize % 3];
}
+99 -6
View File
@@ -5,7 +5,7 @@
//! but produce more interesting images once we add variations.
use crate::variation::Variation;
use bytemuck::{Pod, Zeroable};
use glam::{Affine2, Vec2};
use glam::{Affine2, FloatExt, UVec2, Vec2};
use rand::Rng;
/// Affine transform for use in the [`chaos_game`](crate::chaos_game).
@@ -13,15 +13,27 @@ use rand::Rng;
#[repr(C)]
pub struct Transform {
coefficients: Affine2,
variation_range: [u16; 2],
coefficients_post: Affine2,
variation_range: UVec2,
color: f32,
color_speed: f32,
}
impl Transform {
/// Create a new transform from an affine transformation matrix
pub fn new(coefficients: Affine2, variation_range: [u16; 2]) -> Self {
pub fn new(
coefficients: Affine2,
coefficients_post: Affine2,
variation_range: UVec2,
color: f32,
color_speed: f32,
) -> Self {
Transform {
coefficients,
coefficients_post,
variation_range,
color,
color_speed,
}
}
@@ -35,11 +47,92 @@ impl Transform {
let point = self.coefficients.transform_point2(point);
let mut point_output = Vec2::ZERO;
let variation_range = self.variation_range[0] as usize..self.variation_range[1] as usize;
for variation in variations[variation_range].iter() {
let variation_start = self.variation_range.x;
let variation_end = self.variation_range.y;
for variation_index in variation_start..variation_end {
let variation = &variations[variation_index as usize];
point_output += variation.transform_point(point, rng, &self.coefficients)
}
point_output
self.coefficients_post.transform_point2(point)
}
/// Apply this transform to a color in IFS coordinates, producing a new color
pub fn transform_color(&self, color: f32) -> f32 {
self.color.lerp(color, self.color_speed)
}
}
#[cfg(test)]
mod test {
use crate::transform::Transform;
use crate::variation::{Variation, VariationKind};
use glam::{Affine2, uvec2, vec2};
use rand::SeedableRng;
use rand_xoshiro::Xoshiro256StarStar;
#[test]
fn transform_scaling() {
let scale_coefficients = vec2(2.0, 0.5);
let transform = Transform::new(
Affine2::from_scale(scale_coefficients),
Affine2::IDENTITY,
uvec2(0, 1),
0.0,
0.0,
);
let mut rng = Xoshiro256StarStar::from_seed([0u8; 32]);
let variations = [Variation::IDENTITY];
let point = vec2(1.0, 1.0);
assert_eq!(
transform.transform_point(&mut rng, &variations, point),
scale_coefficients
);
}
#[test]
fn transform_scaling_post() {
let scale_coefficients = vec2(2.0, 0.5);
let transform_pdj =
Transform::new(Affine2::IDENTITY, Affine2::IDENTITY, uvec2(0, 1), 0.0, 0.0);
let transform_pdj_post = Transform::new(
Affine2::IDENTITY,
Affine2::from_scale(scale_coefficients),
uvec2(0, 1),
0.0,
0.0,
);
let mut rng = Xoshiro256StarStar::from_seed([0; 32]);
let variations = [Variation::new(VariationKind::Pdj, 1.0, [0.0f32; 4].into())];
let point = vec2(1.0, 1.0);
let point_pdj = transform_pdj.transform_point(&mut rng, &variations, point);
let point_pdj_post = transform_pdj_post.transform_point(&mut rng, &variations, point);
assert_eq!(point_pdj * scale_coefficients, point_pdj_post);
}
#[test]
fn transform_color() {
let starting_color = 0.0;
let transform_color = 1.0;
let transform_speed = 0.5;
let transform = Transform::new(
Affine2::IDENTITY,
Affine2::IDENTITY,
uvec2(0, 1),
starting_color,
transform_speed,
);
assert_eq!(
transform.transform_color(starting_color),
starting_color * (1.0 - transform_speed) + transform_color * transform_speed
);
}
}
+58 -4
View File
@@ -1,21 +1,41 @@
//! # Variation
//!
//! Variations extend the fractal flame iterated function system
//! with non-linear transforms (as opposed to [`Transform`]s,
//! which are strictly affine transformations).
use crate::Coefficients2;
use bytemuck::{Pod, Zeroable};
use core::f32::consts::PI;
use glam::{Affine2, Vec2, vec2};
use libm::{atan2f, cosf, powf, sinf, sqrtf, tanf};
use rand::distr::Bernoulli;
use rand::distr::StandardUniform;
use rand::{Rng, RngExt};
/// Generic variation parameters
///
/// Not all variations will use these parameters, but passing them
/// as an array per variation allows shaders to use a consistent struct size
/// no matter what the variation actually needs.
#[derive(Copy, Clone, Pod, Zeroable)]
#[repr(C)]
pub struct VariationParams([f32; 4]);
impl From<[f32; 4]> for VariationParams {
fn from(v: [f32; 4]) -> Self {
VariationParams(v)
}
}
/// Enum for all supported variation types
///
/// ID numbers are chosen to match the variation identifier also used by `flam3`
#[derive(Copy, Clone)]
#[repr(u32)]
#[allow(missing_docs)]
pub enum VariationKind {
/// Identity variation, returns the point as-is
Linear = 0,
Spherical = 2,
Julia = 13,
Popcorn = 17,
Pdj = 24,
@@ -26,6 +46,10 @@ unsafe impl bytemuck::Zeroable for VariationKind {}
// UNSAFE: Sound because enum has guaranteed layout (u32) and defined zero-value
unsafe impl bytemuck::Pod for VariationKind {}
/// Parameters required for shaders to run the variation function.
///
/// Not all variations use the [`VariationParams`], but using the struct
/// makes it easy to provide parameters to the shader.
#[derive(Copy, Clone, Pod, Zeroable)]
#[repr(C)]
pub struct Variation {
@@ -35,6 +59,26 @@ pub struct Variation {
}
impl Variation {
/// Identity variation; calling [`transform_point`] will yield
/// the same point as the input.
pub const IDENTITY: Variation = Variation {
kind: VariationKind::Linear,
weight: 1.0,
params: VariationParams([0f32; 4]),
};
/// Create a new variation by providing the variation kind, weight, and parameters.
pub fn new(kind: VariationKind, weight: f32, params: VariationParams) -> Variation {
Variation {
kind,
weight,
params,
}
}
/// Transform a point by applying this variation.
///
/// Output points are scaled by this variation's weight.
pub fn transform_point<R: Rng>(
&self,
point: Vec2,
@@ -43,6 +87,7 @@ impl Variation {
) -> Vec2 {
(match self.kind {
VariationKind::Linear => transform_point_linear(point),
VariationKind::Spherical => transform_point_spherical(point),
VariationKind::Julia => transform_point_julia(point, rng),
VariationKind::Popcorn => transform_point_popcorn(point, coefficients),
VariationKind::Pdj => transform_point_pdj(point, &self.params),
@@ -54,14 +99,23 @@ fn transform_point_linear(point: Vec2) -> Vec2 {
point
}
fn transform_point_spherical(point: Vec2) -> Vec2 {
let r2 = (point * point).element_sum();
let r2_inv = 1.0 / r2;
point * Vec2::splat(r2_inv)
}
fn transform_point_julia<R: Rng>(point: Vec2, rng: &mut R) -> Vec2 {
let x2 = powf(point.x, 2.0);
let y2 = powf(point.y, 2.0);
let r = sqrtf(x2 + y2);
let theta = atan2f(point.x, point.y);
let omega_choice = rng.sample(Bernoulli::new(0.5).unwrap());
let omega = if omega_choice { PI } else { 0.0 };
let omega = if rng.sample::<f32, _>(StandardUniform) > 0.5 {
PI
} else {
0.0
};
let sqrt_r = sqrtf(r);
let theta_val = theta / 2.0 + omega;