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Schmidt","url":"https://thi.ng"},"license":"Apache-2.0","homepage":"https://thi.ng/lowdisc","keywords":["golden-ratio","halton","iterator","kronecker","low-discrepancy","monte-carlo","nd","plastic-number","random","sample","sequence","typescript"],"repository":{"type":"git","url":"git+https://codeberg.org/thi.ng/umbrella.git","directory":"packages/lowdisc"},"description":"n-dimensional low-discrepancy sequence generators/iterators","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/lowdisc](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/banners/thing-lowdisc.svg?54818180)\n\n[![npm version](https://img.shields.io/npm/v/@thi.ng/lowdisc.svg)](https://www.npmjs.com/package/@thi.ng/lowdisc)\n![npm downloads](https://img.shields.io/npm/dm/@thi.ng/lowdisc.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  - [Halton](#halton)\n  - [Kronecker](#kronecker)\n  - [R<sub>2</sub> recurrence](#rsub2sub-recurrence)\n- [Status](#status)\n- [Related packages](#related-packages)\n- [Installation](#installation)\n- [Dependencies](#dependencies)\n- [Usage examples](#usage-examples)\n- [API](#api)\n- [Authors](#authors)\n- [License](#license)\n\n## About\n\nn-dimensional low-discrepancy sequence generators/iterators.\n\nThis package provides the following n-dimensional [low-discrepancy\nsequence](https://en.wikipedia.org/wiki/Low-discrepancy_sequence) generators,\npartially based on the article [The Unreasonable Effectiveness of Quasirandom\nSequences](http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/)\nby Martin Roberts.\n\n### Halton\n\nConfigurable basis for each dimension:\n\n`haltonND([2,3])`\n\n![2D Halton(2,3) sequence](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/lowdisc/ld-halton-small.gif)\n\n### Kronecker\n\nConfigurable basis for each dimension:\n\n`kroneckerND([1 / 2 ** 0.5, 1 / 5 ** 0.5])`\n\n![2D Kronecker sequence (Golden ratio)](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/lowdisc/ld-kronecker-small.gif)\n\n### R<sub>2</sub> recurrence\n\nBased on Kronecker with each dimension's base automatically derived from the\n[Plastic number](https://en.wikipedia.org/wiki/Plastic_number):\n\n`plasticND(2)`\n\n![2D R2 recurrence sequence](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/lowdisc/ld-plastic-small.gif)\n\n## Status\n\n**BETA** - possibly breaking changes forthcoming\n\n[Search or submit any issues for this package](https://codeberg.org/thi.ng/umbrella/issues?q=%5Blowdisc%5D)\n\n## Related packages\n\n- [@thi.ng/poisson](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/poisson) - nD Stratified grid and Poisson-disc sampling w/ support for spatial density functions and custom PRNGs\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/lowdisc\n```\n\nESM import:\n\n```ts\nimport * as ld from \"@thi.ng/lowdisc\";\n```\n\nBrowser ESM import:\n\n```html\n<script type=\"module\" src=\"https://esm.run/@thi.ng/lowdisc\"></script>\n```\n\n[JSDelivr documentation](https://www.jsdelivr.com/)\n\nFor Node.js REPL:\n\n```js\nconst ld = await import(\"@thi.ng/lowdisc\");\n```\n\nPackage sizes (brotli'd, pre-treeshake): ESM: 458 bytes\n\n## Dependencies\n\n- [@thi.ng/errors](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/errors)\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/quasi-lattice.png\" width=\"240\"/>     | Quasi-random lattice generator                             | [Demo](https://demo.thi.ng/umbrella/quasi-lattice/)    | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/quasi-lattice)    |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/viz-scatter-plot.avif\" width=\"240\"/> | Interactive scatter & line plot of low-discrepancy samples | [Demo](https://demo.thi.ng/umbrella/viz-scatter-plot/) | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/viz-scatter-plot) |\n\n## API\n\n[Generated API docs](https://docs.thi.ng/umbrella/lowdisc/)\n\nTODO\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-lowdisc,\n  title = \"@thi.ng/lowdisc\",\n  author = \"Karsten Schmidt\",\n  note = \"https://thi.ng/lowdisc\",\n  year = 2020\n}\n```\n\n## License\n\n&copy; 2020 - 2026 Karsten Schmidt // Apache License 2.0\n","readmeFilename":"README.md"}