From d2a4e466ab19599245cfe34d71073a69a0b71ef2 Mon Sep 17 00:00:00 2001 From: Matan Lurey Date: Sun, 4 Aug 2024 02:55:42 -0700 Subject: [PATCH] Initial commit. --- .DS_Store | Bin 0 -> 6148 bytes .github/workflows/check.yaml | 29 +++ .github/workflows/deploy.yaml | 21 +++ .gitignore | 4 + .vscode/extensions.json | 5 + CHANGELOG.md | 5 + LICENSE | 19 ++ README.md | 69 +++++++ analysis_options.yaml | 3 + chore | 15 ++ dart_test.yaml | 22 +++ example/README.md | 33 ++++ example/generate_pngs.dart | 73 ++++++++ example/out/checkerboard.png | Bin 0 -> 860 bytes example/out/perlin_noise.png | Bin 0 -> 19456 bytes example/out/simplex_noise.png | Bin 0 -> 95460 bytes example/out/value_noise.png | Bin 0 -> 30408 bytes example/out/white_noise.png | Bin 0 -> 96613 bytes example/out/worley_distance.png | Bin 0 -> 91782 bytes example/out/worley_value.png | Bin 0 -> 75939 bytes lib/mirage.dart | 13 ++ lib/src/generator.dart | 311 ++++++++++++++++++++++++++++++++ lib/src/interpolate.dart | 0 lib/src/math.dart | 215 ++++++++++++++++++++++ lib/src/noise/hasher.dart | 59 ++++++ lib/src/noise/perlin.dart | 75 ++++++++ lib/src/noise/simplex.dart | 143 +++++++++++++++ lib/src/noise/value.dart | 54 ++++++ lib/src/noise/white.dart | 30 +++ lib/src/noise/worley.dart | 157 ++++++++++++++++ lib/src/patterns.dart | 82 +++++++++ pubspec.yaml | 21 +++ test/noise_test.dart | 153 ++++++++++++++++ test/pattern_test.dart | 93 ++++++++++ test/src/prelude.dart | 2 + 35 files changed, 1706 insertions(+) create mode 100644 .DS_Store create mode 100644 .github/workflows/check.yaml create mode 100644 .github/workflows/deploy.yaml create mode 100644 .gitignore create mode 100644 .vscode/extensions.json create mode 100644 CHANGELOG.md create mode 100644 LICENSE create mode 100644 README.md create mode 100644 analysis_options.yaml create mode 100755 chore create mode 100644 dart_test.yaml create mode 100644 example/README.md create mode 100755 example/generate_pngs.dart create mode 100644 example/out/checkerboard.png create mode 100644 example/out/perlin_noise.png create mode 100644 example/out/simplex_noise.png create mode 100644 example/out/value_noise.png create mode 100644 example/out/white_noise.png create mode 100644 example/out/worley_distance.png create mode 100644 example/out/worley_value.png create mode 100644 lib/mirage.dart create mode 100644 lib/src/generator.dart create mode 100644 lib/src/interpolate.dart create mode 100644 lib/src/math.dart create mode 100644 lib/src/noise/hasher.dart create mode 100644 lib/src/noise/perlin.dart create mode 100644 lib/src/noise/simplex.dart create mode 100644 lib/src/noise/value.dart create mode 100644 lib/src/noise/white.dart create mode 100644 lib/src/noise/worley.dart create mode 100644 lib/src/patterns.dart create mode 100644 pubspec.yaml create mode 100644 test/noise_test.dart create mode 100644 test/pattern_test.dart create mode 100644 test/src/prelude.dart diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..2f6e8bb5bbfd3f2fafbb9cc9319a394b687b12a8 GIT binary patch literal 6148 zcmeH~F$w}f3`G;&La^D=avBfd4Tfbs!Ct^Zun`4O>p8kVnIJe?i^z{8f0CIX`-+{7 zi0E+JZ$x?#S-?$YZJ{wm-pN(Y_#N-l<#ars4yaju7H4e@@1@y~Z3+pH011!)36Q`K z5wLq3wpdnWBmoj2fhPfbKP0$m4lPyv)q&t60JKBd4Qrnzpvel*99pWP0@IitG+Nci z5UYDTG{w0bTB_D|(HK57{#k8`foW|QO-NvxT^LA!1R4VKn)i19Z{eTj|E7g036Q{_ z5zua&#sLo%ckA2ZS$!8(TNgOgk0ZQ%1R$}icm;REezFBLhnA|S!1y8H7#K+4s{|h7 C1`^Q# literal 0 HcmV?d00001 diff --git a/.github/workflows/check.yaml b/.github/workflows/check.yaml new file mode 100644 index 0000000..dc7c218 --- /dev/null +++ b/.github/workflows/check.yaml @@ -0,0 +1,29 @@ +name: Check + +on: + # Post-submit. + push: + branches: [ main ] + + # Pre-submit. + pull_request: + branches: [ main ] + +jobs: + build: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v4.1.1 + - uses: dart-lang/setup-dart@v1.6.4 + - uses: actions/setup-node@v4 + - uses: browser-actions/setup-chrome@v1 + - run: dart pub get + - run: dart format --output none --set-exit-if-changed . + - run: dart analyze + - run: dart test + - run: ./chore coverage -- -P coverage + - name: Upload coverage + uses: coverallsapp/github-action@v2.2.3 + with: + github-token: ${{ secrets.GITHUB_TOKEN }} + path-to-lcov: coverage/lcov.info diff --git a/.github/workflows/deploy.yaml b/.github/workflows/deploy.yaml new file mode 100644 index 0000000..1128f0f --- /dev/null +++ b/.github/workflows/deploy.yaml @@ -0,0 +1,21 @@ +name: Deploy + +on: + # Post-submit. + push: + branches: [ main ] + +jobs: + build: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v4.1.1 + - uses: dart-lang/setup-dart@v1.6.4 + - run: dart pub get + - name: Build API Docs + run: ./chore dartdoc + - name: Deploy to GitHub Pages + uses: peaceiris/actions-gh-pages@v4 + with: + github_token: ${{ secrets.GITHUB_TOKEN }} + publish_dir: ./doc/api diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..4e3b02d --- /dev/null +++ b/.gitignore @@ -0,0 +1,4 @@ +.dart_tool/ +coverage/ +doc/api/ +pubspec.lock diff --git a/.vscode/extensions.json b/.vscode/extensions.json new file mode 100644 index 0000000..d8086ea --- /dev/null +++ b/.vscode/extensions.json @@ -0,0 +1,5 @@ +{ + "recommendations": [ + "dart-code.dart-code" + ] +} diff --git a/CHANGELOG.md b/CHANGELOG.md new file mode 100644 index 0000000..621a0db --- /dev/null +++ b/CHANGELOG.md @@ -0,0 +1,5 @@ +# Changelog + +## 0.1.0 + +- Initial release. diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..bca8948 --- /dev/null +++ b/LICENSE @@ -0,0 +1,19 @@ +Copyright (c) 2024 Matan Lurey + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/README.md b/README.md new file mode 100644 index 0000000..d6fe247 --- /dev/null +++ b/README.md @@ -0,0 +1,69 @@ +# Mirage + +Generates noise and patterns algorithmically for use in software, textures, and graphics. + +![Mirage on pub.dev][pub_img]][pub_url] +[![Code coverage][cov_img]][cov_url] +[![Github action status][gha_img]][gha_url] +[![Dartdocs][doc_img]][doc_url] +[![Style guide][sty_img]][sty_url] + +[pub_url]: https://pub.dartlang.org/packages/chaos +[pub_img]: https://img.shields.io/pub/v/mirage.svg +[gha_url]: https://github.com/matanlurey/mirage.dart/actions +[gha_img]: https://github.com/matanlurey/mirage.dart/actions/workflows/check.yaml/badge.svg +[cov_url]: https://coveralls.io/github/matanlurey/mirage.dart?branch=main +[cov_img]: https://coveralls.io/repos/github/matanlurey/mirage.dart/badge.svg?branch=main +[doc_url]: https://www.dartdocs.org/documentation/chaos/latest +[doc_img]: https://img.shields.io/badge/Documentation-mirage-blue.svg +[sty_url]: https://pub.dev/packages/oath +[sty_img]: https://img.shields.io/badge/style-oath-9cf.svg + +## Usage + +An example of generating a Simplex noise pattern: + +![Simlex](./example/out/simplex_noise.png) + +```dart +import 'package:mirage/mirage.dart'; + +void main() { + final noise = Simplex(); + for (var y = 0; y < 256; y++) { + for (var x = 0; x < 256; x++) { + final value = noise.get2d(x / 256, y / 256); + // Do something with the value... + } + } +} +``` + +For a full example, see the [example](./example) directory. + +## Features + +- Full implementations of popular 2D noise functions. +- Simple and predictable API for generating noise patterns. +- Build your own generator functions with the `Pattern2d` interface. +- Thoughtfully tested and documented for ease of use. + +## Contributing + +To run the tests, run: + +```shell +dart test +``` + +To check code coverage locally, run: + +```shell +./chore coverage +``` + +To preview `dartdoc` output locally, run: + +```shell +./chore dartodc +``` diff --git a/analysis_options.yaml b/analysis_options.yaml new file mode 100644 index 0000000..1b0034e --- /dev/null +++ b/analysis_options.yaml @@ -0,0 +1,3 @@ +# Format: https://dart.dev/tools/analysis#the-analysis-options-file. + +include: package:oath/strict.yaml diff --git a/chore b/chore new file mode 100755 index 0000000..5d374a6 --- /dev/null +++ b/chore @@ -0,0 +1,15 @@ +#!/usr/bin/env sh + +# Chore is a tiny task runner with some pre-defined commands. + +set -e + +GIT_URL="https://github.com/matanlurey/chore.dart.git" +GIT_REF="8b252e7" + +# Silently activate the pinned version of `chore.dart` from GitHub. +# Only print if there is an error. +dart pub global activate -sgit $GIT_URL --git-ref=$GIT_REF 2>&1 > /dev/null + +# Now run and forward arguments and the output. +dart pub global run chore "$@" diff --git a/dart_test.yaml b/dart_test.yaml new file mode 100644 index 0000000..d9b4bf6 --- /dev/null +++ b/dart_test.yaml @@ -0,0 +1,22 @@ +# https://github.com/dart-lang/test/blob/master/pkgs/test/doc/configuration.md + +presets: + # Runs VM-specific tests and captures coverage. + coverage: + reporter: github + + # Runs tests on the VM and NodeJS. + all: + platforms: + - vm + - node + +platforms: + - vm + +fold_stack_frames: + except: + - checks + - test + - test_api + - stream_channel diff --git a/example/README.md b/example/README.md new file mode 100644 index 0000000..56dae74 --- /dev/null +++ b/example/README.md @@ -0,0 +1,33 @@ +# Examples + +The provided script, [`generate_pngs.dart`](./generate_pngs.dart) uses this +library combined with `package:image` to generate the following images for each +pattern function: + +## `Checkerboard` + +![Checkerboard](./out/checkerboard.png) + +## `White` + +![White](./out/white_noise.png) + +## `Value` + +![Value](./out/value_noise.png) + +## `Perlin` + +![Perlin](./out/perlin_noise.png) + +## `Simplex` + +![Simplex](./out/simplex_noise.png) + +## `Worley.distance` + +![Worley.distance](./out/worley_distance.png) + +## `Worley.value` + +![Worley.value](./out/worley_value.png) diff --git a/example/generate_pngs.dart b/example/generate_pngs.dart new file mode 100755 index 0000000..f2519c2 --- /dev/null +++ b/example/generate_pngs.dart @@ -0,0 +1,73 @@ +#!/usr/bin/env dart + +import 'dart:math'; + +import 'package:image/image.dart' as i; +import 'package:mirage/mirage.dart'; +import 'package:path/path.dart' as p; + +/// This script generates PNG previews for all patterns in the library. +/// +/// ## Usage +/// +/// ```sh +/// dart example/generate_pngs.dart [seed] +/// ``` +void main(List args) async { + final Random random; + if (args.isNotEmpty) { + random = Random(int.parse(args.first)); + } else { + random = Random(0xDEADBEEF); + } + + final output = p.join('example', 'out'); + + const width = 256; + const height = 256; + Future generate( + String name, + Pattern2d Function(Random) generate, + ) async { + final pattern = generate(random).normalized; + final image = i.Image(width: width, height: height); + for (var y = 0; y < height; y++) { + for (var x = 0; x < width; x++) { + // 0.0 = black, 1.0 = white + final value = pattern.get2d(x, y); + final color = (value * 255).toInt(); + image.setPixel(x, y, i.ColorRgb8(color, color, color)); + } + } + await i.writeFile(p.join(output, '$name.png'), i.encodePng(image)); + } + + await generate( + 'checkerboard', + (_) => Checkerboard.odd, + ); + await generate( + 'white_noise', + White.new, + ); + await generate( + 'value_noise', + (r) => Value(NoiseTable(r)), + ); + await generate( + 'perlin_noise', + (r) => Perlin(NoiseTable(r)), + ); + await generate( + 'simplex_noise', + (r) => Simplex(NoiseTable(r)), + ); + await generate( + 'worley_value', + (r) => Worley.value(hasher: NoiseTable(r)), + ); + await generate( + 'worley_distance', + (r) => Worley.distance(hasher: NoiseTable(r)), + ); +} diff --git a/example/out/checkerboard.png b/example/out/checkerboard.png new file mode 100644 index 0000000000000000000000000000000000000000..e2a132a32843e7e0c90e0e484d4b62a197bb7732 GIT binary patch literal 860 zcmeAS@N?(olHy`uVBq!ia0y~yU<5K58911L)MWvCLk0$BWltB!kP61PS2yx9DDWIG znDFEO(;~O_ijQ-2-_J2N{vK!aB3fTTy!JKglSO<7wv3|D5EyA8AU{=IsxB$KDiD}! 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+ /// print(pattern.get(1, 2)); // 3.0 + /// ``` + const factory Pattern2d.from( + double Function(int x, int y) get, + ) = _DelegatePattern2d; + + /// Returns the value of the pattern at the given coordinates. + /// + /// The value returned is typically within the range of `[-1.0, 1.0]`, where: + /// + /// - `-1.0` represents the lowest value of the pattern; + /// - `0.0` represents the middle value of the pattern; + /// - `1.0` represents the highest value of the pattern. + double get2d(int x, int y); + + /// Returns a new pattern that maps the output of this pattern using the given + /// function. + /// + /// Prefer specialized methods for common mapping operations, such as: + /// + /// - [scale] for scaling the output by a factor; + /// - [normalized] for normalizing the output to `[0.0, 1.0]`; + /// - [inverted] for inverting the output; + /// - [transposed] for transposing the output. + /// + /// The [map] function should be pure and side-effect free. + /// + /// ## Example + /// + /// ```dart + /// final pattern = Constant(0.5); + /// final mapped = pattern.map((value) => value * 2.0); + /// print(mapped.get(0, 0)); // 1.0 + /// ``` + Pattern2d map(double Function(double) map) => _MappedPattern2d(this, map); + + /// Returns a new pattern that scales the output of this pattern by the given + /// [factor]. + /// + /// The output value at `(x, y)` is `get(x, y) * factor`. + /// + /// ## Example + /// + /// ```dart + /// final pattern = Constant(0.5); + /// final scaled = pattern.scale(2.0); + /// print(scaled.get(0, 0)); // 1.0 + /// ``` + Pattern2d scale(double factor) => _ScaledPattern2d(this, factor); + + /// Returns a new pattern that scales the output of this pattern by the given + /// [factor]. + /// + /// This is an alias for [scale]. + Pattern2d operator *(double factor) => scale(factor); + + /// Returns a new pattern that returns the absolute value of the output of + /// this pattern. + /// + /// The output value at `(x, y)` is `get(x, y).abs()`. + /// + /// ## Example + /// + /// ```dart + /// final pattern = Constant(-0.5); + /// final absolute = pattern.absolute; + /// print(absolute.get(0, 0)); // 0.5 + /// + Pattern2d get absolute => _AbsolutePattern2d(this); + + /// Returns a new pattern that normalizes the output of this pattern to the + /// range of `[0.0, 1.0]`. + /// + /// A value of `-1.0` shoild be mapped to `0.0`, and a value of `1.0` should + /// map to `1.0`. + /// + /// Implementations already in this range can return the same pattern. + /// + /// ## Example + /// + /// ```dart + /// final pattern = Constant(-0.5); + /// final normalized = pattern.normalized; + /// print(normalized.get(0, 0)); // 0.25 + /// ``` + Pattern2d get normalized => _NormalizedPattern(this); + + /// Returns a new pattern that is the inverse of this pattern. + /// + /// The inverse of a pattern is the pattern where the output value at `(x, y)` + /// is `-get(x, y)`. + /// + /// ## Example + /// + /// ```dart + /// final pattern = Constant(0.5); + /// final inverted = pattern.inverted; + /// print(inverted.get(0, 0)); // -0.5 + Pattern2d get inverted => _InvertedPattern(this); + + /// Returns a new pattern that is the inverse of this pattern. + /// + /// This is an alias for [inverted]. + Pattern2d operator -() => inverted; + + /// Returns a new pattern that is the transpose of this pattern. + /// + /// The transpose of a pattern is the pattern where the output value at + /// `(x, y)` is `get(y, x)`. + /// + /// ## Example + /// + /// ```dart + /// final pattern = Checkerboard(even: -1.0, odd: 1.0); + /// print(pattern.get(0, 0)); // -1.0 + /// + /// final transposed = pattern.transposed; + /// print(transposed.get(0, 0)); // -1.0 + /// ``` + Pattern2d get transposed => _TransposedPattern2d(this); + + /// Returns a new pattern that adds the output of this pattern with the output + /// of the given [pattern]. + /// + /// ## Example + /// + /// ```dart + /// final a = Constant(0.25); + /// final b = Constant(0.75); + /// final added = a.add(b); + /// print(added.get(0, 0)); // 1.0 + /// ``` + Pattern2d add(Pattern2d pattern) => _AddPattern2d(this, pattern); + + /// Returns a new pattern that adds the output of this pattern with the output + /// of the given [pattern]. + /// + /// This is an alias for [add]. + Pattern2d operator +(Pattern2d pattern) => add(pattern); + + /// Returns a new pattern that subtracts the output of the given [pattern] + /// from the output of this pattern. + /// + /// ## Example + /// + /// ```dart + /// final a = Constant(0.25); + /// final b = Constant(0.75); + /// final subtracted = a.subtract(b); + /// print(subtracted.get(0, 0)); // -0.5 + /// ``` + Pattern2d subtract(Pattern2d pattern) => _SubtractPattern2d(this, pattern); + + /// Returns a new pattern that subtracts the output of the given [pattern] + /// from the output of this pattern. + /// + /// This is an alias for [subtract]. + Pattern2d operator -(Pattern2d pattern) => subtract(pattern); + + /// Returns a new pattern that returns the maximum value between the output of + /// two patterns. + /// + /// ## Example + /// + /// ```dart + /// final a = Constant(0.25); + /// final b = Constant(0.75); + /// final maxed = a.max(b); + /// print(maxed.get(0, 0)); // 0.75 + /// ``` + Pattern2d max(Pattern2d pattern) => _MaxPattern2d(this, pattern); + + /// Returns a new pattern that returns the minimum value between the output of + /// two patterns. + /// + /// ## Example + /// + /// ```dart + /// final a = Constant(0.25); + /// final b = Constant(0.75); + /// final minned = a.min(b); + /// print(minned.get(0, 0)); // 0.25 + /// ``` + Pattern2d min(Pattern2d pattern) => _MinPattern2d(this, pattern); +} + +final class _DelegatePattern2d with Pattern2d { + const _DelegatePattern2d(this._get); + final double Function(int x, int y) _get; + + @override + double get2d(int x, int y) => _get(x, y); +} + +final class _MappedPattern2d with Pattern2d { + const _MappedPattern2d(this._pattern, this._mapper); + final Pattern2d _pattern; + final double Function(double) _mapper; + + @override + double get2d(int x, int y) => _mapper(_pattern.get2d(x, y)); +} + +final class _ScaledPattern2d with Pattern2d { + const _ScaledPattern2d(this._pattern, this._scale); + final Pattern2d _pattern; + final double _scale; + + @override + double get2d(int x, int y) => _pattern.get2d(x, y) * _scale; +} + +final class _NormalizedPattern with Pattern2d { + const _NormalizedPattern(this._pattern); + final Pattern2d _pattern; + + @override + double get2d(int x, int y) { + final value = _pattern.get2d(x, y); + return (value + 1.0) / 2.0; + } +} + +final class _InvertedPattern with Pattern2d { + const _InvertedPattern(this._pattern); + final Pattern2d _pattern; + + @override + double get2d(int x, int y) => -_pattern.get2d(x, y); +} + +final class _TransposedPattern2d with Pattern2d { + const _TransposedPattern2d(this._pattern); + final Pattern2d _pattern; + + @override + double get2d(int x, int y) => _pattern.get2d(y, x); +} + +final class _AbsolutePattern2d with Pattern2d { + const _AbsolutePattern2d(this._pattern); + final Pattern2d _pattern; + + @override + double get2d(int x, int y) => _pattern.get2d(x, y).abs(); +} + +final class _AddPattern2d with Pattern2d { + const _AddPattern2d(this._a, this._b); + final Pattern2d _a; + final Pattern2d _b; + + @override + double get2d(int x, int y) => _a.get2d(x, y) + _b.get2d(x, y); +} + +final class _SubtractPattern2d with Pattern2d { + const _SubtractPattern2d(this._a, this._b); + final Pattern2d _a; + final Pattern2d _b; + + @override + double get2d(int x, int y) => _a.get2d(x, y) - _b.get2d(x, y); +} + +final class _MaxPattern2d with Pattern2d { + const _MaxPattern2d(this._a, this._b); + final Pattern2d _a; + final Pattern2d _b; + + @override + double get2d(int x, int y) => math.max(_a.get2d(x, y), _b.get2d(x, y)); +} + +final class _MinPattern2d with Pattern2d { + const _MinPattern2d(this._a, this._b); + final Pattern2d _a; + final Pattern2d _b; + + @override + double get2d(int x, int y) => math.min(_a.get2d(x, y), _b.get2d(x, y)); +} diff --git a/lib/src/interpolate.dart b/lib/src/interpolate.dart new file mode 100644 index 0000000..e69de29 diff --git a/lib/src/math.dart b/lib/src/math.dart new file mode 100644 index 0000000..a9b3f8b --- /dev/null +++ b/lib/src/math.dart @@ -0,0 +1,215 @@ +import 'dart:math'; +import 'dart:typed_data'; + +/// Quintic easing function. +/// +/// [t] is the alpha value, ranging from 0.0 to 1.0. +/// +/// {@category Math} +double quinticEase(double t) { + return t * t * t * (t * (t * 6 - 15) + 10); +} + +/// Linear interpolation between two values. +double linearInterpolate(double a, double b, double t) { + return b * t + a * (1.0 - t); +} + +/// Cubic interpolation between two values bound between two other values. +/// +/// - [a] is the value _before_ the first value. +/// - [b] is the first value. +/// - [c] is the second value. +/// - [d] is the value _after_ the second value. +/// - [t] is the alpha value, ranging from 0.0 to 1.0. +/// +/// If [t] is `0.0`, the result is [b]. If [t] is `1.0`, the result is [c]. +double cubicInterpolate(double a, double b, double c, double d, double t) { + final p = (d - c) - (a - b); + final q = (a - b) - p; + final r = c - a; + final s = b; + return p * t * t * t + q * t * t + r * t + s; +} + +/// Returns the 2-dimensuonal gradient vector at [index], between 0 and 7. +/// +/// Any index out of bounds is wrapped around using `index % 8`. +Vec2 gradient2d(int index) { + const diag = sqrt1_2; + return switch (index % 8) { + 0 => const (1.0, 0.0), + 1 => const (-1.0, 0.0), + 2 => const (0.0, 1.0), + 3 => const (0.0, -1.0), + 4 => const (diag, diag), + 5 => const (-diag, diag), + 6 => const (diag, -diag), + 7 => const (-diag, -diag), + _ => throw StateError('Unreachable'), + } as Vec2; +} + +final _reinterpretBuffer = ByteData(8); + +/// Reinterprets a 32-bit integer as a double. +double reinterpretAsDouble(int bits) { + _reinterpretBuffer.setUint32(0, bits); + return _reinterpretBuffer.getFloat64(0); +} + +/// Reinterprets a double as a 32-bit integer. +int reinterpretAsInt(double value) { + _reinterpretBuffer.setFloat64(0, value); + return _reinterpretBuffer.getUint32(0); +} + +/// A two-dimensional floating-point vector. +/// +/// Prefer [`pacakge:vector_math`](https://pub.dev/packages/vector_math) over +/// this extension for serious applications; this is a minimalistic alternative +/// that only provides the most basic functionality needed for this library, +/// such as noise generation. +/// +/// Any tuple of two doubles can be cast to a `Vec2` using `as Vec2`: +/// ```dart +/// final vec = (1.0, 2.0) as Vec2; +/// ``` +/// +/// To convert back to a tuple, use the `x` and `y` getters, or [xy]: +/// ```dart +/// final (x, y) = vec.xy; +/// ``` +/// +/// {@category Math} +extension type const Vec2._((double, double) _) { + /// The zero vector. + static const zero = v00; + + /// The unit vector in no direction. + static const v00 = (0.0, 0.0) as Vec2; + + /// The unit vector in the x-direction. + static const v01 = (0.0, 1.0) as Vec2; + + /// The unit vector in the y-direction. + static const v10 = (1.0, 0.0) as Vec2; + + /// The unit vector in the x and y-directions. + static const v11 = (1.0, 1.0) as Vec2; + + /// Creates a new 2D vector. + factory Vec2(double x, double y) => (x, y) as Vec2; + + /// Creates a new 2D vector from two integers. + factory Vec2.fromInts(int x, int y) => Vec2(x.toDouble(), y.toDouble()); + + /// The x-coordinate of the vector. + double get x => _.$1; + + /// The y-coordinate of the vector. + double get y => _.$2; + + /// The vector as a tuple of two doubles. + (double x, double y) get xy => _; + + /// Squared magnitude of the vector. + double get length2 => dot(this); + + /// Dot product of this vector and [other]. + double dot(Vec2 other) => x * other.x + y * other.y; + + /// Adds this vector and [other]. + Vec2 operator +(Vec2 other) => Vec2(x + other.x, y + other.y); + + /// Subtracts [other] from this vector. + Vec2 operator -(Vec2 other) => Vec2(x - other.x, y - other.y); + + /// Translates the vector by [by] for both components. + Vec2 translate(double by) => Vec2(x + by, y + by); + + /// Scales the vector by [by] for both components. + Vec2 scale(double by) => Vec2(x * by, y * by); + + /// Returns the vector floored but kept as a double. + Vec2 floor() => Vec2(x.floorToDouble(), y.floorToDouble()); + + /// Returns the vector floored to two integers. + IVec2 floorToInt() => (x.floor(), y.floor()) as IVec2; + + /// Returns the sum of the vector components. + double sum() => x + y; + + /// Returns a new vector with components mapped by [f]. + Vec2 map(double Function(double) f) => Vec2(f(x), f(y)); + + /// Reinterprets the vector as a 2D integer vector. + IVec2 reinterpret() { + return IVec2(reinterpretAsInt(x), reinterpretAsInt(y)); + } +} + +/// A two-dimensional fixed-point vector. +/// +/// Prefer [`pacakge:vector_math`](https://pub.dev/packages/vector_math) over +/// this extension for serious applications; this is a minimalistic alternative +/// that only provides the most basic functionality needed for this library, +/// such as noise generation. +/// +/// Any tuple of two integers can be cast to a `IVec2` using `as IVec2`: +/// ```dart +/// final vec = (1, 2) as IVec2; +/// ``` +/// +/// To convert back to a tuple, use the `x` and `y` getters, or [xy]: +/// ```dart +/// final (x, y) = vec.xy; +/// ``` +extension type const IVec2._((int, int) _) { + /// The zero vector. + static const zero = v00; + + /// The unit vector in no direction. + static const v00 = (0, 0) as IVec2; + + /// The unit vector in the x-direction. + static const v01 = (0, 1) as IVec2; + + /// The unit vector in the y-direction. + static const v10 = (1, 0) as IVec2; + + /// The unit vector in the x and y-directions. + static const v11 = (1, 1) as IVec2; + + /// Creates a new 2D vector. + factory IVec2(int x, int y) => (x, y) as IVec2; + + /// The x-coordinate of the vector. + int get x => _.$1; + + /// The y-coordinate of the vector. + int get y => _.$2; + + /// The vector as a tuple of two integers. + (int x, int y) get xy => _; + + /// Squared magnitude of the vector. + int get length2 => x * x + y * y; + + /// Adds this vector and [other]. + IVec2 operator +(IVec2 other) => IVec2(x + other.x, y + other.y); + + /// Subtracts [other] from this vector. + IVec2 operator -(IVec2 other) => IVec2(x - other.x, y - other.y); + + /// Translates the vector by [by] for both components. + IVec2 translate(int by) => IVec2(x + by, y + by); + + /// Returns a list of the vector components. + List toList() => [x, y]; + + /// Reinprets the vector as a 2D floating-point vector. + Vec2 reinterpret() { + return Vec2(reinterpretAsDouble(x), reinterpretAsDouble(y)); + } +} diff --git a/lib/src/noise/hasher.dart b/lib/src/noise/hasher.dart new file mode 100644 index 0000000..98549f4 --- /dev/null +++ b/lib/src/noise/hasher.dart @@ -0,0 +1,59 @@ +import 'dart:typed_data'; + +import 'package:chaos/chaos.dart'; + +/// An interface for computing a hash value for a list of integers. +abstract interface class NoiseHasher { + /// Creates a new default noise hasher. + factory NoiseHasher() = NoiseTable; + + /// Hashes the given list of [values] and returns the result. + /// + /// The list must be non-empty. + int hash(List values); +} + +/// A seed table used for noise hashing. +/// +/// Table creation is expensive, so create one per generator and reuse it. +final class NoiseTable implements NoiseHasher { + static const _tableSize = 0xFF + 1; + + /// Generates a new seed table using the given [random] number generator. + factory NoiseTable([Random? random]) { + final table = Uint8List(_tableSize); + for (var i = 0; i < _tableSize; i++) { + table[i] = i; + } + table.shuffle(random); + return NoiseTable._(table); + } + + /// Generates a new seed table using the given [seed]. + /// + /// If [seed] is omitted, a new seed is generated. + factory NoiseTable.fromSeed([int? seed]) { + final seed_ = seed ?? Xoshiro128.randomSeed(); + final real = Uint8List(16)..[0] = 1; + for (var i = 1; i < 4; i++) { + real[i * 4] = seed_; + real[i * 4 + 1] = seed_ >> 8; + real[i * 4 + 2] = seed_ >> 16; + real[i * 4 + 3] = seed_ >> 24; + } + final rng = Xoshiro128P.fromSeed(real); + return NoiseTable(rng); + } + + const NoiseTable._(this._table); + final Uint8List _table; + + @override + int hash(List values) { + var hash = 0; + for (final value in values) { + hash = _table[hash ^ (value & 0xFF)]; + } + return hash; + } +} diff --git a/lib/src/noise/perlin.dart b/lib/src/noise/perlin.dart new file mode 100644 index 0000000..752dbb7 --- /dev/null +++ b/lib/src/noise/perlin.dart @@ -0,0 +1,75 @@ +import 'dart:math'; + +import 'package:mirage/mirage.dart'; + +/// A [perlin noise][] generator. +/// +/// [perlin noise]: https://en.wikipedia.org/wiki/Perlin_noise +/// +/// A classic noise algorithm known for its organic, "cloudy" appearance. +/// Produces smooth, continuous noise patterns with a natural feel; moderately +/// expensive to compute compared to [Simplex] or [Value] noise. +/// +/// Ideal for natural-looking terrain genreation, cloud formations, or other +/// fluid simulations. Can exhibit slight directional artifacts due to the +/// underlying grid structure, and is considered slower than [Simplex] for +/// similar quality output. +/// +/// ![Example](https://github.com/user-attachments/assets/3600cdf8-d5af-44a6-adb9-cbc642c7b136) +final class Perlin with Pattern2d { + /// Creates a new perlin noise generator. + /// + /// If a [hasher] is not provided, [NoiseHasher.new] is used. + factory Perlin([NoiseHasher? hasher]) { + hasher ??= NoiseHasher(); + return Perlin._(hasher); + } + + const Perlin._(this._hasher); + final NoiseHasher _hasher; + + @override + double get2d(int x, int y) => _perlin2d(Vec2.fromInts(x, y)); + + double _perlin2d(Vec2 point) { + final corner = point.floorToInt(); + final distance = point - corner.reinterpret(); + + double gradient(Vec2 offset) { + final point = distance - offset; + final ioffset = offset.floorToInt(); + return switch (_hasher.hash((corner + ioffset).toList()) & 0x3) { + 0 => point.x + point.y, // ( 1, 1) + 1 => -point.x + point.y, // (-1, 1) + 2 => point.x - point.y, // ( 1,-1) + 3 => -point.x - point.y, // (-1,-1) + _ => throw StateError('Unreachable'), + }; + } + + final g00 = gradient(Vec2.v00); + final g10 = gradient(Vec2.v10); + final g01 = gradient(Vec2.v01); + final g11 = gradient(Vec2.v11); + + final curve = distance.map(quinticEase); + final result = linearInterpolate( + linearInterpolate(g00, g10, curve.x), + linearInterpolate(g01, g11, curve.x), + curve.y, + ); + + // At this point, we should be really damn close to the (-1, 1) range, but + // some float errors could have accumulated, so let's just clamp the results + // to (-1, 1) to cut off any outliers and return it. + return (result * _scaleFactor).clamp(-1.0, 1.0); + } + + /// Unscaled range of linearly interpolated perlin noise should be + /// `(-sqrt(N)/2, sqrt(N)/2)` where `N` is the number of dimensions. Need to + /// invert this value and multiply the unscaled result by the value to get a + /// scaled range of `(-1, 1)`. + /// + /// `1/(sqrt(N)/2)`, `N = 1` -> `2/sqrt(1)`. + static const _scaleFactor = 2.0 / sqrt2; +} diff --git a/lib/src/noise/simplex.dart b/lib/src/noise/simplex.dart new file mode 100644 index 0000000..2b94043 --- /dev/null +++ b/lib/src/noise/simplex.dart @@ -0,0 +1,143 @@ +import 'dart:math'; + +import 'package:mirage/mirage.dart'; + +/// A [simplex noise][] generator. +/// +/// [simplex noise]: https://en.wikipedia.org/wiki/Simplex_noise +/// +/// Typically an improvement over [Perlin] noise, offering similar smoothness +/// and organic patterns but with better performance and fewer directional +/// artifacts; often considered the best general-purpose noise algorithm. +/// +/// ![Example](https://github.com/user-attachments/assets/ec9c44c1-fe6d-4ae4-99cc-09527229797e) +final class Simplex with Pattern2d { + /// Creates a new simplex noise generator. + /// + /// If a [hasher] is not provided, [NoiseHasher.new] is used. + factory Simplex([NoiseHasher? hasher]) { + hasher ??= NoiseHasher(); + return Simplex._(hasher); + } + + const Simplex._(this._hasher); + final NoiseHasher _hasher; + + @override + double get2d(int x, int y) { + final point = Vec2.fromInts(x, y); + final (noise, _) = _simplex2d(point); + return noise; + } + + (double, Vec2) _simplex2d(Vec2 point) { + final skew = point.sum() * _skewFactor2; + final skewed = point.translate(skew); + final cell = skewed.floorToInt(); + final floor = Vec2.fromInts(cell.x, cell.y); + + final unskew = floor.sum() * _unskewFactor2; + final unskewed = floor.translate(-unskew); + final offset1 = point - unskewed; + + // For the 2D case, the simplex shape is an equilateral triangle. + // Determine which simplex we are in. + final order = offset1.x > offset1.y ? Vec2.v10 : Vec2.v01; + final offset2 = (offset1 - order).translate(_unskewFactor2); + final offset3 = offset1.translate(-1.0).translate(2.0 * _unskewFactor2); + + // Calculate gradient indexes for each corner + final gi0 = _hasher.hash(cell.toList()); + final gi1 = _hasher.hash((cell + order.reinterpret()).toList()); + final gi2 = _hasher.hash(cell.translate(1).toList()); + + // Calculate the contribution from the three corners + final corner0 = _Surflet.from(offset1, gradientIndex: gi0); + final corner1 = _Surflet.from(offset2, gradientIndex: gi1); + final corner2 = _Surflet.from(offset3, gradientIndex: gi2); + final noise = corner0.value + corner1.value + corner2.value; + + // A straight, unoptimised calculation would be like: + // dnoise_dx = -8.0 * t20 * t0 * x0 * ( gx0 * x0 + gy0 * y0 ) + t40 * gx0; + // dnoise_dy = -8.0 * t20 * t0 * y0 * ( gx0 * x0 + gy0 * y0 ) + t40 * gy0; + // dnoise_dx += -8.0 * t21 * t1 * x1 * ( gx1 * x1 + gy1 * y1 ) + t41 * gx1; + // dnoise_dy += -8.0 * t21 * t1 * y1 * ( gx1 * x1 + gy1 * y1 ) + t41 * gy1; + // dnoise_dx += -8.0 * t22 * t2 * x2 * ( gx2 * x2 + gy2 * y2 ) + t42 * gx2; + // dnoise_dy += -8.0 * t22 * t2 * y2 * ( gx2 * x2 + gy2 * y2 ) + t42 * gy2; + var dnoise = offset1.translate( + corner0.t2 * corner0.t * corner0.gradient.dot(offset1), + ); + dnoise += offset2.translate( + corner1.t2 * corner1.t * corner1.gradient.dot(offset2), + ); + dnoise += offset3.translate( + corner2.t2 * corner2.t * corner2.gradient.dot(offset3), + ); + dnoise = dnoise.scale(-8.0); + dnoise += corner0.gradient.scale(corner0.t4) + + corner1.gradient.scale(corner1.t4) + + corner2.gradient.scale(corner2.t4); + + return (noise, dnoise); + } + + /// ```txt + /// sqrt(n + 1) - 1 + /// F = --------------- + /// n + /// ``` + /// + /// The result of `n = 2`. + static final _skewFactor2 = (sqrt(3) - 1) / 2; + + /// ```txt + /// 1 - 1 / sqrt(n + 1) + /// G = ------------------- + /// n + /// ``` + /// + /// The result of `n = 2`. + static final _unskewFactor2 = (1 - 1 / sqrt(3)) / 2; +} + +final class _Surflet { + factory _Surflet.from( + Vec2 point, { + required int gradientIndex, + }) { + final t = 1.0 - (point.length2 * 2.0); + if (t > 0.0) { + final gradient = gradient2d(gradientIndex); + final t2 = t * t; + final t4 = t2 * t2; + return _Surflet._( + value: (2.0 * t2 + t4) * point.dot(gradient), + t: t, + t2: t2, + t4: t4, + gradient: gradient, + ); + } + return const _Surflet._( + value: 0.0, + t: 0.0, + t2: 0.0, + t4: 0.0, + gradient: Vec2.zero, + ); + } + + const _Surflet._({ + required this.value, + required this.t, + required this.t2, + required this.t4, + required this.gradient, + }); + + final double value; + final double t; + final double t2; + final double t4; + final Vec2 gradient; +} diff --git a/lib/src/noise/value.dart b/lib/src/noise/value.dart new file mode 100644 index 0000000..fcecf8b --- /dev/null +++ b/lib/src/noise/value.dart @@ -0,0 +1,54 @@ +import 'package:mirage/mirage.dart'; + +/// A [value noise][] generator. +/// +/// [value noise]: https://en.wikipedia.org/wiki/Value_noise +/// +/// Generates random values at grid points and interpolates between them for +/// smoother results. Produces more organic-looking patterns compared to +/// [White] noise, but can still appear rather blocky; still rather fast to +/// compute. +/// +/// Ideal for terrain generation, clouds, and other natural looking patterns, +/// but can exhibit visible grid artifacts due to linear interpolation, and is +/// considered less smooth than [Perlin] or [Simplex] noise. +/// +/// ![Example](https://github.com/user-attachments/assets/6c93d6d0-67d1-4bb9-a8fc-6cc00b451a5c) +final class Value with Pattern2d { + /// Creates a new value noise generator. + /// + /// If a [hasher] is not provided, a [NoiseHasher.new] is used. + factory Value([NoiseHasher? hasher]) { + hasher ??= NoiseHasher(); + return Value._(hasher); + } + + const Value._(this._hasher); + final NoiseHasher _hasher; + + @override + double get2d(int x, int y) => _value2d(Vec2.fromInts(x, y)); + + double _value2d(Vec2 point) { + final corner = point.floor(); + final weight = corner.map(quinticEase); + + final f00 = _get2d(offset: Vec2.v00, corner: corner); + final f10 = _get2d(offset: Vec2.v10, corner: corner); + final f01 = _get2d(offset: Vec2.v01, corner: corner); + final f11 = _get2d(offset: Vec2.v11, corner: corner); + + final result = linearInterpolate( + linearInterpolate(f00, f10, weight.x), + linearInterpolate(f01, f11, weight.x), + weight.y, + ); + + return result * 2.0 - 1.0; + } + + double _get2d({required Vec2 offset, required Vec2 corner}) { + final position = (offset + corner).floorToInt(); + return _hasher.hash(position.toList()) / 255.0; + } +} diff --git a/lib/src/noise/white.dart b/lib/src/noise/white.dart new file mode 100644 index 0000000..c3aa34d --- /dev/null +++ b/lib/src/noise/white.dart @@ -0,0 +1,30 @@ +import 'dart:math'; + +import 'package:mirage/mirage.dart'; + +/// A white noise function. +/// +/// This pattern generates random values between -1.0 and 1.0. +/// +/// Unlike most patterns, this pattern is _intentionally_ not deterministic; +/// the given random number generator with the same seed _will_ produce the same +/// pattern if and only if the same seed is used and the same number of values +/// are generated in the same order. +/// +/// ![Example](https://github.com/user-attachments/assets/5d4989b3-5ffd-46b5-9c90-116019464ff6) +/// +/// ## Example +/// +/// ```dart +/// final random = Random(); +/// final pattern = White(random); +/// print(pattern.get(0, 0)); +/// ``` +final class White with Pattern2d { + /// Creates a new white noise pattern using the given random number generator. + const White(this._random); + final Random _random; + + @override + double get2d(int x, int y) => _random.nextDouble() * 2.0 - 1.0; +} diff --git a/lib/src/noise/worley.dart b/lib/src/noise/worley.dart new file mode 100644 index 0000000..af0c7d5 --- /dev/null +++ b/lib/src/noise/worley.dart @@ -0,0 +1,157 @@ +import 'dart:math'; + +import 'package:mirage/mirage.dart'; + +/// A [worley noise][] generator. +/// +/// [worley noise]: https://en.wikipedia.org/wiki/Worley_noise +/// +/// Creates patterns based on distances to a set of randomly distributed points. +/// Results in a bumpy or "cellular" appearance, with sharp transitions between +/// regions. Useful for creating textures, terrain, or other patterns like +/// cracked surfaces, clouds with gaps, or speckled patterns, or cave-like +/// systems or dungeon layouts with roosm and corridors. +/// +/// Can be computationally expensive, especially with many points or large +/// regions, and requires tuning parameters like the number of points to achieve +/// desired results. +final class Worley with Pattern2d { + /// Euclidean distance function. + static double euclidean(Vec2 x, Vec2 y) { + final dx = x.x - y.x; + final dy = x.y - y.y; + return sqrt(dx * dx + dy * dy); + } + + /// Creates a new worley noise generator that returns the value of the + /// nearest point. + /// + /// If a [hasher] is not provided, [NoiseHasher.new] is used. + /// + /// The [distance] function can be used to calculate the distance between two + /// points. The default is the Euclidean distance. + /// + /// The [frequency] can be used to scale the distance between points. The + /// default is 1.0. + /// + /// ![Example](https://github.com/user-attachments/assets/67cd0601-fd3f-42b6-9f5d-660d43c9ab67) + factory Worley.value({ + NoiseHasher? hasher, + double Function(Vec2 x, Vec2 y) distance = euclidean, + double frequency = 1.0, + }) { + hasher ??= NoiseHasher(); + return Worley._(hasher, distance, frequency, _ReturnType.value); + } + + /// Creates a new worley noise generator that returns the distance to the + /// nearest point. + /// + /// If a [hasher] is not provided, [NoiseHasher.new] is used. + /// + /// The [distance] function can be used to calculate the distance between two + /// points. The default is the Euclidean distance. + /// + /// The [frequency] can be used to scale the distance between points. The + /// default is 1.0. + /// + /// ![Example](https://github.com/user-attachments/assets/db03f26d-a763-4024-8adc-7bc6b2ea0f3a) + factory Worley.distance({ + NoiseHasher? hasher, + double Function(Vec2 x, Vec2 y) distance = euclidean, + double frequency = 1.0, + }) { + hasher ??= NoiseHasher(); + return Worley._(hasher, distance, frequency, _ReturnType.distance); + } + + const Worley._( + this._hasher, + this._distance, + this._frequency, + this._returnType, + ); + final NoiseHasher _hasher; + final double Function(Vec2 x, Vec2 y) _distance; + final double _frequency; + final _ReturnType _returnType; + + @override + double get2d(int x, int y) { + return _worley2d(Vec2.fromInts(x, y).scale(_frequency)); + } + + double _worley2d(Vec2 point) { + final cell = point.floorToInt(); + final floor = Vec2.fromInts(cell.x, cell.y); + final frac = point - floor; + + final near = IVec2(frac.x < 0.5 ? 0 : 1, frac.y < 0.5 ? 0 : 1) + cell; + final far = IVec2(frac.x < 0.5 ? 1 : 0, frac.y < 0.5 ? 1 : 0) + cell; + + final seedIndex = _hasher.hash(near.toList()); + final seedPoint = _getPoint(seedIndex, near); + + var seedCell = near; + var distance = _distance(point, seedPoint); + + final range = Vec2( + pow(0.5 - frac.x, 2).toDouble(), + pow(0.5 - frac.y, 2).toDouble(), + ); + + void testPoint(IVec2 testPoint) { + final index = _hasher.hash(testPoint.toList()); + final test = _getPoint(index, testPoint); + final testDistance = _distance(point, test); + if (testDistance < distance) { + distance = testDistance; + seedCell = testPoint; + } + } + + if (range.x < distance) { + testPoint(IVec2(far.x, near.y)); + } + + if (range.y < distance) { + testPoint(IVec2(near.x, far.y)); + } + + if (range.x < distance && range.y < distance) { + testPoint(IVec2(far.x, far.y)); + } + + final value = switch (_returnType) { + _ReturnType.distance => distance, + _ReturnType.value => _hasher.hash(seedCell.toList()) / 255.0, + }; + + return value * 2.0 - 1.0; + } + + static Vec2 _getPoint(int index, IVec2 point) { + return _getVec2(index) + point.reinterpret(); + } + + static Vec2 _getVec2(int index) { + final length = ((index & 0xF8) >> 3) * 0.5 / 31.0; + final diag = length * sqrt1_2; + return switch (index & 0x7) { + 0 => Vec2(diag, diag), + 1 => Vec2(diag, -diag), + 2 => Vec2(-diag, diag), + 3 => Vec2(-diag, -diag), + 4 => Vec2(length, 0.0), + 5 => Vec2(-length, 0.0), + 6 => Vec2(0.0, length), + 7 => Vec2(0.0, -length), + _ => throw StateError('Unreachable'), + }; + } +} + +enum _ReturnType { + distance, + value, +} diff --git a/lib/src/patterns.dart b/lib/src/patterns.dart new file mode 100644 index 0000000..3eb7f13 --- /dev/null +++ b/lib/src/patterns.dart @@ -0,0 +1,82 @@ +import 'package:mirage/mirage.dart'; + +/// A pattern that outputs a constant value. +/// +/// Regardless of the input coordinates, this pattern always returns the same +/// value. +/// +/// While not very useful on its own, this pattern can be used as a source +/// pattern for other patterns. +/// +/// ## Example +/// +/// ```dart +/// final pattern = Constant(0.5); +/// print(pattern.get(0, 0)); // 0.5 +/// print(pattern.get(1, 1)); // 0.5 +/// print(pattern.get(2, 2)); // 0.5 +/// ``` +final class Constant with Pattern2d { + /// Creates a new constant pattern with the given value. + const Constant(this._value); + final double _value; + + /// A constant pattern that always returns `-1.0`. + static const negative = Constant(-1.0); + + /// A constant pattern that always returns `0.0`. + static const zero = Constant(0.0); + + /// A constant pattern that always returns `1.0`. + static const positive = Constant(1.0); + + @override + double get2d(int x, int y) => _value; +} + +/// A pattern that outputs a checkerboard pattern. +/// +/// The checkerboard pattern alternates between two values based on the input +/// coordinates. +/// +/// ![Example](https://github.com/user-attachments/assets/5d3dace2-b78d-4bc7-81c3-3eb3f0847b48) +/// +/// ## Example +/// +/// ```dart +/// final pattern = Checkerboard(even: -1.0, odd: 1.0); +/// print(pattern.get(0, 0)); // -1.0 +/// print(pattern.get(1, 1)); // 1.0 +/// print(pattern.get(2, 2)); // -1.0 +/// ``` +final class Checkerboard with Pattern2d { + /// Creates a new checkerboard pattern with the given [even] and [odd] values. + const Checkerboard({ + required double even, + required double odd, + }) : _even = even, + _odd = odd; + final double _even; + final double _odd; + + /// A checkerboard pattern that is "off" for even coordinates and "on" for odd + /// coordinates. + /// + /// This is typically the default checkerboard pattern: + /// + /// - `-1.0` for even coordinates; + /// - `1.0` for odd coordinates. + static const odd = Checkerboard(even: -1.0, odd: 1.0); + + /// A checkerboard pattern that is "off" for odd coordinates and "on" for even + /// coordinates. + /// + /// This is the inverse of the default checkerboard pattern: + /// + /// - `1.0` for even coordinates; + /// - `-1.0` for odd coordinates. + static const even = Checkerboard(even: 1.0, odd: -1.0); + + @override + double get2d(int x, int y) => (x + y).isEven ? _even : _odd; +} diff --git a/pubspec.yaml b/pubspec.yaml new file mode 100644 index 0000000..2d7c8ce --- /dev/null +++ b/pubspec.yaml @@ -0,0 +1,21 @@ +# Format: https://dart.dev/tools/pub/pubspec + +name: mirage +description: |- + Generate noise and patterns algorithmically for use in software, textures, and + graphics. +version: 0.1.0 + +environment: + sdk: ^3.4.0 + +dependencies: + chaos: ^0.1.1 + meta: ^1.14.0 + +dev_dependencies: + checks: ^0.3.0 + image: ^4.2.0 + oath: ^0.2.0 + path: ^1.9.0 + test: ^1.25.3 diff --git a/test/noise_test.dart b/test/noise_test.dart new file mode 100644 index 0000000..032faa2 --- /dev/null +++ b/test/noise_test.dart @@ -0,0 +1,153 @@ +import 'package:chaos/chaos.dart'; +import 'package:mirage/mirage.dart'; + +import 'src/prelude.dart'; + +void main() { + test('white noise', () { + final random = SequenceRandom([0.0, 0.5, 1.0]); + final pattern = White(random); + + check(pattern.get2d(0, 0)).equals(-1.0); + check(pattern.get2d(0, 0)).equals(0.0); + check(pattern.get2d(0, 0)).equals(1.0); + }); + + test('perlin noise', () { + final pattern = Perlin(NoiseTable.fromSeed(0xDEADBEEF)); + + // Generate an 4x4 grid of perlin noise values in a flat list. + final grid = Iterable.generate(4 * 4, (i) { + final x = i % 4; + final y = i ~/ 4; + return pattern.get2d(x, y); + }).toList(); + + check(grid).deepEquals([ + 0.0, 0.0, 1.0, -1.0, // + 0.0, 0.0, 1.0, -1.0, // + 1.0, -1.0, 1.0, 1.0, // + 1.0, 1.0, -1.0, -1.0, // + ]); + }); + + test('simplex noise', () { + final pattern = Simplex(NoiseTable.fromSeed(0xDEADBEEF)); + + // Generate an 4x4 grid of simplex noise values in a flat list. + final grid = Iterable.generate(4 * 4, (i) { + final x = i % 4; + final y = i ~/ 4; + return pattern.get2d(x, y); + }).toList(); + + check(grid).deepEquals([ + 0.0, + -0.5392700671585607, + -0.4578268503874004, + 0.16413724395993845, + -0.5559791823237101, + 0.3564385613590572, + 0.16413724395993845, + -0.48290735154820574, + 0.3564385613590574, + -0.16413724395993845, + 0.39668592773889655, + 0.008964268261665142, + 0.0, + 0.0, + 0.2741438321751817, + 0.3209907104230883, + ]); + }); + + test('value noise', () { + final pattern = Value(NoiseTable.fromSeed(0xDEADBEEF)); + + // Generate an 4x4 grid of value noise values in a flat list. + final grid = Iterable.generate(4 * 4, (i) { + final x = i % 4; + final y = i ~/ 4; + return pattern.get2d(x, y); + }).toList(); + + check(grid).deepEquals([ + 0.15294117647058814, + 0.7490196078431373, + -5.5254901960784295, + -602.9764705882353, + -0.7647058823529411, + -0.5529411764705883, + -4.31764705882353, + -109.30588235294118, + 23.329411764705885, + 40.10588235294117, + -84.12941176470565, + 10485.329411764706, + -148.88235294117652, + 137.51764705882363, + -3346.3411764705907, + -321745.0705882353, + ]); + }); + + test('worley distance', () { + final pattern = Worley.distance(hasher: NoiseTable.fromSeed(0xDEADBEEF)); + + // Generate an 4x4 grid of worley distance values in a flat list. + final grid = Iterable.generate(4 * 4, (i) { + final x = i % 4; + final y = i ~/ 4; + return pattern.get2d(x, y); + }).toList(); + + check(grid).deepEquals([ + -0.6129032258064516, + 1.0371165682383157, + 3.0742331364766313, + 4.604481352559873, + 0.6582085117775407, + 1.3290680007980256, + 3.1742733202728006, + 4.811015290561983, + 2.5161290322580645, + 3.33008723567222, + 4.659153167052308, + 5.428345139138658, + 4.0, + 4.385164807134504, + 5.812182268793711, + 6.830939996442804, + ]); + }); + + test('worley value', () { + final pattern = Worley.value(hasher: NoiseTable.fromSeed(0xDEADBEEF)); + + // Generate an 4x4 grid of worley value values in a flat list. + final grid = Iterable.generate(4 * 4, (i) { + final x = i % 4; + final y = i ~/ 4; + return pattern.get2d(x, y); + }).toList(); + + check(grid).deepEquals([ + -0.19215686274509802, + -0.19215686274509802, + 0.5529411764705883, + 0.12941176470588234, + 0.08235294117647052, + 0.615686274509804, + 0.615686274509804, + 0.12941176470588234, + -0.0117647058823529, + 0.08235294117647052, + -0.6705882352941177, + 0.9137254901960785, + 0.9921568627450981, + 0.9921568627450981, + 0.5372549019607844, + 0.9137254901960785, + ]); + }); +} diff --git a/test/pattern_test.dart b/test/pattern_test.dart new file mode 100644 index 0000000..c246f23 --- /dev/null +++ b/test/pattern_test.dart @@ -0,0 +1,93 @@ +import 'package:mirage/mirage.dart'; + +import 'src/prelude.dart'; + +void main() { + test('map', () { + final pattern = Constant(0.5); + + final mapped = pattern.map((value) => value * 2.0); + check(mapped.get2d(0, 0)).equals(1.0); + }); + + test('scale', () { + final pattern = Constant(0.5); + + final scaled = pattern * 2.0; + check(scaled.get2d(0, 0)).equals(1.0); + }); + + test('absolute', () { + final pattern = Constant(-0.5); + final absolute = pattern.absolute; + check(absolute.get2d(0, 0)).equals(0.5); + }); + + test('normalized', () { + final pattern = Constant(-0.5); + + final normalized = pattern.normalized; + check(normalized.get2d(0, 0)).equals(0.25); + }); + + test('inverted', () { + final pattern = Constant(0.5); + + final inverted = -pattern; + check(inverted.get2d(0, 0)).equals(-0.5); + }); + + test('transposed', () { + final pattern = Pattern2d.from((x, y) => x / y); + check(pattern.get2d(1, 2)).equals(0.5); + + final transposed = pattern.transposed; + check(transposed.get2d(1, 2)).equals(2.0); + }); + + test('add', () { + final a = Constant(0.5); + final b = Constant(0.5); + + final sum = a + b; + check(sum.get2d(0, 0)).equals(1.0); + }); + + test('subtract', () { + final a = Constant(0.5); + final b = Constant(0.5); + + final difference = a - b; + check(difference.get2d(0, 0)).equals(0.0); + }); + + test('max', () { + final a = Constant(0.25); + final b = Constant(0.75); + + final max = a.max(b); + check(max.get2d(0, 0)).equals(0.75); + }); + + test('min', () { + final a = Constant(0.25); + final b = Constant(0.75); + + final min = a.min(b); + check(min.get2d(0, 0)).equals(0.25); + }); + + group('checkerboard', () { + test('even', () { + final pattern = Checkerboard.even; + check(pattern.get2d(0, 0)).equals(1.0); + check(pattern.get2d(1, 0)).equals(-1.0); + }); + + test('odd', () { + final pattern = Checkerboard.odd; + check(pattern.get2d(0, 0)).equals(-1.0); + check(pattern.get2d(1, 0)).equals(1.0); + }); + }); +} diff --git a/test/src/prelude.dart b/test/src/prelude.dart new file mode 100644 index 0000000..3e985c7 --- /dev/null +++ b/test/src/prelude.dart @@ -0,0 +1,2 @@ +export 'package:checks/checks.dart'; +export 'package:test/test.dart' show TestOn, group, setUp, tearDown, test;