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Schmidt","url":"https://thi.ng"},"license":"Apache-2.0","homepage":"https://thi.ng/colored-noise","keywords":["1d","blue","brown","fft","filter","generator","green","noise","random","red","sample","spectrum","typescript","white"],"repository":{"type":"git","url":"git+https://codeberg.org/thi.ng/umbrella.git","directory":"packages/colored-noise"},"description":"Customizable O(1) ES6 generators for colored noise","maintainers":[{"name":"thi.ng","email":"k+npm@thi.ng"}],"readme":"<!-- This file is generated - DO NOT EDIT! -->\n<!-- Please see: https://codeberg.org/thi.ng/umbrella/src/branch/develop/CONTRIBUTING.md#changes-to-readme-files -->\n# ![@thi.ng/colored-noise](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/banners/thing-colored-noise.svg?c5c90855)\n\n[![npm version](https://img.shields.io/npm/v/@thi.ng/colored-noise.svg)](https://www.npmjs.com/package/@thi.ng/colored-noise)\n![npm downloads](https://img.shields.io/npm/dm/@thi.ng/colored-noise.svg)\n[![Mastodon Follow](https://img.shields.io/mastodon/follow/109331703950160316?domain=https%3A%2F%2Fmastodon.thi.ng&style=social)](https://mastodon.thi.ng/@toxi)\n\n> [!NOTE]\n\n> This is one of 217 standalone projects. LLM-free, human-made and\n> cared for software, maintained as part of the\n> [@thi.ng/umbrella](https://codeberg.org/thi.ng/umbrella/) ecosystem and\n> anti-framework.\n>\n> 🚀 Please help me to work full-time on these projects by [sponsoring\n> me](https://codeberg.org/thi.ng/umbrella/src/branch/develop/CONTRIBUTING.md#donations).\n> Thank you! ❤️\n\n- [About](#about)\n  - [Blue noise](#blue-noise)\n  - [Green noise](#green-noise)\n  - [Pink noise](#pink-noise)\n  - [Red / brown noise](#red--brown-noise)\n  - [Violet noise](#violet-noise)\n  - [White noise](#white-noise)\n- [Status](#status)\n- [Related packages](#related-packages)\n- [Installation](#installation)\n- [Dependencies](#dependencies)\n- [Usage examples](#usage-examples)\n- [API](#api)\n  - [Use as IGen in @thi.ng/dsp](#use-as-igen-in-thingdsp)\n- [Authors](#authors)\n- [License](#license)\n\n## About\n\nCustomizable O(1) ES6 generators for colored noise.\n\n[Colored noise](https://en.wikipedia.org/wiki/Colors_of_noise) is useful for a\nwide variety of use cases where a more controlled approach to random number\ngeneration is required, from DSP/synthesis to rendering, geometry generation,\nanimation etc.\n\nThe following noise colors are available and illustrated via their power\nspectrums / histograms (averaged 1000 runs @ 256 samples each). Each noise gen\nis configurable in terms of number of internal RNG states, value range (default:\n`[-1..1)` interval, always centered around 0) and the actual backing PRNG\nimplementation (default: `Math.random`, see\n[@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random)\nfor alternatives).\n\nCode ported from Java, C & Clojure implementations and other\nreferences/literature (see links in doc strings). Furthermore, all generators\nhave been refactored to be O(1).\n\nIn alphabetical order:\n\n### Blue noise\n\nHigh-pass filtered noise (opposite of [red](#red-noise)) -\n[Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/src/blue.ts)\n\n```text\nblue2\n                               ▁▁▁▂▂▂▃▄▄▄▅▅▅▅▅▆▆▆▆▇▇▇▇▇▇▇█▇▇███▇\n                  ▁▁▂▃▄▄▅▆▇▆████████████████████████████████████\n            ▂▃▄▅▇███████████████████████████████████████████████\n        ▃▆▇█████████████████████████████████████████████████████\n    ▁▅▇█████████████████████████████████████████████████████████\n  ▂▆████████████████████████████████████████████████████████████\n▂▇██████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nblue4\n                                                 ▁▁▂▄▄▄▆▆▇█▇▆██▇\n                                           ▁▃▄▇▇████████████████\n                                       ▁▄▆██████████████████████\n        ▁▄▅▆▇▇███████▇▇▆▄▃▁          ▄▇█████████████████████████\n     ▃▅████████████████████▇▅      ▄████████████████████████████\n   ▄██████████████████████████▄  ▁██████████████████████████████\n ▂██████████████████████████████▇███████████████████████████████\n▃███████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nblue16\n\n                                                             ▃▅▇\n                                                           ▂████\n                                                          ▄█████\n                                                   ▂▅▅▃  ▂██████\n                                           ▂▅▄▁   ▆████▅▁███████\n                    ▂      ▁▄▃    ▁▅▇▇▃   ▆████▂ ▅██████████████\n  ▂▆█▆▂   ▂▆█▆▃   ▄███▅   ▆███▇  ▁█████▄ ▆██████▅███████████████\n ▃█████▄ ▃█████▄ ▅█████▆ ▇██████▁███████▇███████████████████████\n ███████▅███████▆███████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nblue32\n\n                                                               ▆\n                                                              ██\n                                                             ▅██\n                                                          ▅▃ ███\n                                                      ▃  ▆██████\n                                              ▂   ▇▃ ▆██▃███████\n                                  ▂   ▅  ▂▇▃ ▅█▆ ███▄███████████\n  ▃   ▃   ▄   ▄   ▄  ▁▇▂ ▂█▃ ▄█▄ ▆█▇ ███▁███▄███▇███████████████\n ▇██ ▇██ ███ ███ ███▁███▂███▄███▅███▇███████████████████████████\n ███████▇███████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n```\n\n### Green noise\n\nBand-pass filtered noise (interleaved blue noise, opposite of\n[violet](#violet-noise)) -\n[Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/src/green.ts)\n\n```text\ngreen4\n\n                         ▂▃▅▆▇▇█▇▇▇▆▅▄▃▂\n                      ▃▅█████████████████▆▃\n                    ▄███████████████████████▄          ▁▁\n    ▂▅▇█████▅▁    ▂███████████████████████████▁    ▂▅▇████▇▅▂\n  ▁▆██████████▅  ▂█████████████████████████████▂  ▅██████████▆▁\n ▂██████████████▅███████████████████████████████▆██████████████▂\n▁███████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\ngreen16\n\n                               ▅▆▅\n                              ████▇\n                             ▅█████▆\n                          ▄▃ ███████ ▃▄\n                      ▄▁ ▆██████████▇██▆ ▁▄\n          ▁   ▃  ▁▇▄ ▇██▄███████████████▄██▇ ▃█▁  ▄   ▁\n ▂▇▃ ▃█▄ ▅█▆ ▇██ ███▅███████████████████████▅███▁███ ▅█▅ ▄█▄ ▄▇▂\n ███▃███▄███▆███████████████████████████████████████▆███▄███▃███\n▅███████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\ngreen32\n\n                                ▆\n                               ███\n                               ███\n                             ▅▆███▆▄\n                           ▅ ███████ ▄\n                       ▂ ▇▂███████████▂▆ ▁\n                 ▁ ▄ ▇▁█▆███████████████▆█▂▇ ▄ ▂\n ▄ ▃ ▄ ▄ ▅ ▆ ▇▁█▃█▅█▇███████████████████████▇█▄█▃█▁▇ ▆ ▅ ▄ ▃ ▃ ▃\n █▅█▅█▅█▆█▇███████████████████████████████████████████▇█▇█▅█▅█▄█\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n```\n\n### Pink noise\n\nExponential decay power curve (1/f) -\n[Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/src/pink.ts)\n\n```text\npink4\n ▅▄▂\n▇████▇▅▃▂\n████████████▇▆▄▃▁▁▁▁▂\n████████████████████████▇▆▅▄▃▂▂     ▁\n████████████████████████████████▇████████████▇▆▅▄▄▄▄▂▃▁▁\n█████████████████████████████████████████████████████████▇▆▅▄▁\n██████████████████████████████████████████████████████████████▇▃\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\npink16\n█\n█\n██\n███▆▁▁\n██████▇▅▁▂▁\n████████████▇▆▆▄▂▂▂▂▁▁\n███████████████████████▇▇▆▅▅▄▃▂      ▁\n████████████████████████████████▄███████████▇▆▅▄▃▃▄▃▂▂▁\n████████████████████████████████████████████████████████▆▇▆▅▂▁\n██████████████████████████████████████████████████████████████▆▁\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\npink32\n▄\n█\n█\n█▄\n██▄▁\n████▅▄▂\n████████▆▇▆▄▂▁\n████████████████▅▇▆▆▆▅▄▃▂▁▂\n██████████████████████████████▆▅ ▄▄▅▃▅▄▄▂▃▄▃▂▂\n████████████████████████████████████████████████▇▇▇▇▇▇▆▅▂▂▂\n████████████████████████████████████████████████████████████▅▄▁\n███████████████████████████████████████████████████████████████▅\n```\n\n### Red / brown noise\n\nLow-pass filtered noise (opposite of [blue](#blue-noise)) -\n[Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/src/red.ts)\n\n```text\nred4\n\n █▇▇▇▆▇▆▅▅▅▄▃▃▂▁\n█████████████████▇▆▅▃▁\n███████████████████████▆▃\n███████████████████████████▄          ▁▃▄▆▇█████████▇▆▅▃▁\n█████████████████████████████▄     ▁▄▇████████████████████▆▃\n██████████████████████████████▇▁  ▄██████████████████████████▄\n████████████████████████████████▇██████████████████████████████▁\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nred16\n\n ▇▅▃\n█████▃\n██████▃\n███████▂  ▂▅▅▂\n████████ ▅████▅    ▄▄▂\n███████████████▅ ▂████▆   ▃▇█▆▁    ▃▃▂      ▁\n████████████████▅██████▇ ▄█████▁ ▁▇███▆   ▄███▄   ▃▇█▇▂   ▂▆█▆▂\n████████████████████████▇███████▂██████▆ ▆█████▅ ▄█████▃ ▃█████▃\n████████████████████████████████████████████████▆███████▅███████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nred32\n\n ▅\n██▇\n███▅\n████ ▃▅\n████▇██▆ ▁▃\n████████▂██▇ ▂▇▁  ▁\n████████████▄███ ▆█▅ ▃▆▂  ▄   ▁\n████████████████████▄███▁███ ▇█▅ ▄█▄ ▃▇▂ ▁▆▁ ▁▅   ▄   ▄   ▃   ▃\n████████████████████████████▇███▄███▃███▁███ ███ ███ ███ ▇██ ▇█▇\n████████████████████████████████████████████████▇███▇███▇███▇███\n████████████████████████████████████████████████████████████████\n```\n\n### Violet noise\n\nBand-stop filtered noise (interleaved red noise, opposite of\n[green](#green-noise)) -\n[Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/src/violet.ts)\n\n```text\nviolet2\n\n ██▇▇█▆▇▆▆▅▅▃▃▃▂▁                               ▁▂▃▄▄▅▆▆▇▆▆▇▇█▇█\n███████████████████▇▅▄▂                  ▁▂▄▅▇▇█████████████████\n█████████████████████████▅▃           ▃▅████████████████████████\n████████████████████████████▄       ▄███████████████████████████\n██████████████████████████████▄   ▄█████████████████████████████\n████████████████████████████████▆███████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nviolet4\n\n▂▇▇▇▆▄▂▂                                                 ▂▂▄▆▇▇▇\n█████████▆▃                                           ▃▆████████\n████████████▄                            ▁          ▄███████████\n██████████████▁    ▂▅▇████▇▅▂       ▂▄▇████▇▅▁    ▁▇████████████\n███████████████▂  ▅██████████▆▁   ▂▇██████████▅  ▁██████████████\n████████████████▅██████████████▃ ▃██████████████▅███████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nviolet16\n\n ▅                                                             ▅\n███                                                           ██\n███▆                                                         ▅██\n████ ▃▅                                                   ▅▃ ███\n███████▆ ▁▅                                           ▃▂ ▆██████\n████████▃██▇ ▄▇▂  ▄   ▂                   ▁   ▄  ▂█▄ ▇██▃███████\n████████████▅███▁██▇ ▆█▅ ▄█▄ ▂▇▃ ▃█▂ ▄█▃ ▅█▆ ▇██ ███▅███████████\n████████████████████▆███▅███▄███▃███▃███▄███▆███████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n\nviolet32\n\n██                                                             █\n██                                                             █\n██▄▄                                                         ▄▆█\n████ ▃                                                     ▃ ███\n██████▂▆ ▁                                             ▂ ▆▂█████\n████████▅█▂▇ ▄ ▂                                 ▂ ▄ ▇▁█▅███████\n████████████▇█▅█▂█▁▇ ▇ ▅ ▄ ▃ ▃ ▃ ▃ ▃ ▄ ▄ ▅ ▆ ▇▁█▃█▄█▇███████████\n██████████████████████▇█▇█▆█▆█▅█▅█▅█▅█▆█▆███████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n```\n\n### White noise\n\nUniform distribution (unfiltered output from source PRNG) -\n[Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/src/white.ts)\n\n```text\nwhite\n\n▁█████████▇█████████▇█████▇▇▇█▇██▇▇█▇████████▇█▇███▇▇█▇█████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n████████████████████████████████████████████████████████████████\n```\n\n## Status\n\n**STABLE** - used in production\n\n[Search or submit any issues for this package](https://codeberg.org/thi.ng/umbrella/issues?q=%5Bcolored-noise%5D)\n\n## Related packages\n\n- [@thi.ng/dsp](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/dsp) - Composable signal generators, oscillators, filters, FFT, spectrum, windowing & related DSP utils\n- [@thi.ng/lowdisc](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/lowdisc) - n-dimensional low-discrepancy sequence generators/iterators\n- [@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random) - Pseudo-random number generators w/ unified API, distributions, weighted choices, ID generation\n\n## Installation\n\n```bash\nyarn add @thi.ng/colored-noise\n```\n\nESM import:\n\n```ts\nimport * as cnoise from \"@thi.ng/colored-noise\";\n```\n\nBrowser ESM import:\n\n```html\n<script type=\"module\" src=\"https://esm.run/@thi.ng/colored-noise\"></script>\n```\n\n[JSDelivr documentation](https://www.jsdelivr.com/)\n\nFor Node.js REPL:\n\n```js\nconst cnoise = await import(\"@thi.ng/colored-noise\");\n```\n\nPackage sizes (brotli'd, pre-treeshake): ESM: 494 bytes\n\n## Dependencies\n\n- [@thi.ng/binary](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/binary)\n- [@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random)\n\n## Usage examples\n\nTwo projects in this repo's\n[/examples](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples)\ndirectory are using this package:\n\n| Screenshot                                                                                                             | Description                                                           | Live demo                                             | Source                                                                                     |\n|:-----------------------------------------------------------------------------------------------------------------------|:----------------------------------------------------------------------|:------------------------------------------------------|:-------------------------------------------------------------------------------------------|\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/simd-plot.png\" width=\"240\"/>       | Fitting, transforming & plotting 10k data points per frame using SIMD | [Demo](https://demo.thi.ng/umbrella/simd-plot/)       | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/simd-plot)       |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/webgl-float-fbo.jpg\" width=\"240\"/> | Drawing to floating point offscreen / multi-pass shader pipeline      | [Demo](https://demo.thi.ng/umbrella/webgl-float-fbo/) | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/webgl-float-fbo) |\n\n## API\n\n[Generated API docs](https://docs.thi.ng/umbrella/colored-noise/)\n\nTODO\n\nSee\n[/tools](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/colored-noise/tools/)\nfor usage examples...\n\n```ts\nimport { red } from \"@thi.ng/colored-noise\";\nimport { take } from \"@thi.ng/transducers\";\n\n// default config\n[...take(20, red())]\n// [0.03108920908982049, 0.5411110045940151, 0.26064470417452945, ...]\n\n// custom config\nimport { XsAdd } from \"@thi.ng/random\";\n\n[...take(20, red({ bins: 16, scale: 1, rnd: new XsAdd(0xdecafbad) }))]\n// [ -0.17761799097704192, -0.10240132532836904, -0.1103387340810939, ...]\n```\n\n### Use as IGen in @thi.ng/dsp\n\n```ts\nimport { green } from \"@thi.ng/colored-noise\";\nimport { adsr, iterable, product } from \"@thi.ng/dsp\";\nimport { wavByteArray } from \"@thi.ng/dsp-io-wav\";\nimport { writeFileSync } \"node:fs\";\n\nconst FS = 44100;\n\nconst signal = product(\n    // wrap green noise as IGen\n    iterable(green({ bins: 16 }), 0),\n    // apply gain envelope\n    adsr({ a: 0.005 * FS, d: 0.2 * FS, s: 0 })\n);\n\n// output as 16bit mono WAV file\nwriteFileSync(\n    \"export/hihat.wav\",\n    wavByteArray(\n        { bits: 16, channels: 1, length: 0.25 * FS, sampleRate: FS },\n        signal\n    )\n);\n```\n\n![Result waveform with spectrum](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/colored-noise/hihat-green.png)\n\n## Authors\n\n- [Karsten Schmidt](https://thi.ng)\n\nIf this project contributes to an academic publication, please cite it as:\n\n```bibtex\n@misc{thing-colored-noise,\n  title = \"@thi.ng/colored-noise\",\n  author = \"Karsten Schmidt\",\n  note = \"https://thi.ng/colored-noise\",\n  year = 2015\n}\n```\n\n## License\n\n&copy; 2015 - 2026 Karsten Schmidt // Apache License 2.0\n","readmeFilename":"README.md"}