{"id":50579868,"url":"https://github.com/hubertronald/luasf","last_synced_at":"2026-06-07T22:01:21.487Z","repository":{"id":19484844,"uuid":"87147963","full_name":"HubertRonald/LuaSF","owner":"HubertRonald","description":"Lua Statistics Functions is a lightweight pure-Lua library for descriptive statistics and discrete/continuous pseudo-random 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LuaSF: Lua Statistics Functions\n\n\u003cp align=\"left\"\u003e\n    \u003ca href=\"https://www.lua.org/\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/Lua-5.1%2B-2C2D72?style=flat-square\u0026logo=lua\u0026logoColor=white\" alt=\"Lua 5.1+\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://luarocks.org/modules/HubertRonald/luasf\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/LuaRocks-published-0B63CE?style=flat-square\u0026logo=lua\u0026logoColor=white\" alt=\"LuaRocks published\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://github.com/HubertRonald/LuaSF/blob/master/LICENSE\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/license-MIT-success?style=flat-square\" alt=\"MIT License\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://github.com/HubertRonald/LuaSF/stargazers\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/stars-6-blue?style=flat-square\u0026logo=github\" alt=\"GitHub stars\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://github.com/HubertRonald/LuaSF/forks\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/forks-3-blue?style=flat-square\u0026logo=github\" alt=\"GitHub forks\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://github.com/HubertRonald/LuaSF/graphs/contributors\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/contributors-2-yellow?style=flat-square\u0026logo=github\" alt=\"GitHub contributors\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://github.com/HubertRonald/LuaSF/issues\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/issues-open-green?style=flat-square\u0026logo=github\" alt=\"GitHub issues\" /\u003e\n    \u003c/a\u003e\n    \u003ca href=\"https://github.com/HubertRonald/LuaSF/pulls\" target=\"_blank\"\u003e\n        \u003cimg src=\"https://img.shields.io/badge/pull%20requests-open-yellow?style=flat-square\u0026logo=github\" alt=\"GitHub pull requests\" /\u003e\n    \u003c/a\u003e\n    \u003cimg src=\"https://img.shields.io/badge/status-active-brightgreen?style=flat-square\" alt=\"Project status\" /\u003e\n    \u003cimg src=\"https://img.shields.io/badge/pure%20Lua-no%20native%20deps-blueviolet?style=flat-square\" alt=\"Pure Lua\" /\u003e\n\u003c/p\u003e\n\n**LuaSF** stands for **Lua Statistics Functions**.\n\nLuaSF is a small, lightweight, pure-Lua library for descriptive statistics, sampling utilities, and pseudo-random variable generation.\n\nThe project started around 2014 and was later published under the MIT License. It has now been revived with compatibility improvements, tests, examples, documentation, a cleaner module structure, additional statistics helpers, sampling utilities, and LuaRocks packaging while preserving the existing public API.\n\n---\n\n## Why LuaSF?\n\n* Pure Lua implementation\n* No native dependencies\n* Lua 5.1+ friendly\n* Single-file friendly\n* Basic descriptive statistics\n* Summary statistics helpers\n* Sampling utilities\n* Discrete and continuous pseudo-random variables\n* Compatible with the existing public LuaSF API\n* Useful for simulations, teaching, small scripts, game/mod scripting, and lightweight statistical utilities\n\n---\n\n## Installation\n\n### Option 1: LuaRocks\n\n```bash\nluarocks install luasf\n```\n\nThen use:\n\n```lua\nlocal stats = require(\"luasf\")\n\nprint(stats.sum({1, 2, 3})) -- 6\n```\n\n### Option 2: Copy the file\n\nCopy `LuaSF.lua` into your project and load it with:\n\n```lua\nlocal stats = require(\"LuaSF\")\n```\n\n### Option 3: Use the compatibility entry point\n\nOlder examples may use:\n\n```lua\nlocal stats = require(\"LuaStat\")\n```\n\nThis remains supported for compatibility.\n\n### Option 4: Use the source module directly\n\nDuring development, load the implementation from `src/`:\n\n```lua\nlocal stats = require(\"src.luasf\")\n```\n\n---\n\n## Quick start\n\n```lua\nlocal stats = require(\"luasf\")\n\nlocal values = {1, 2, 3, 4, 5}\n\nprint(stats.sum(values))      -- 15\nprint(stats.mean(values))     -- 3\nprint(stats.stddev(values))   -- sample standard deviation\nprint(stats.median(values))   -- 3\nprint(stats.variance(values)) -- sample variance\nprint(stats.summary(values).count) -- 5\n```\n\nLegacy names are still available:\n\n```lua\nlocal stats = require(\"LuaSF\")\n\nlocal values = {1, 2, 3, 4, 5}\n\nprint(stats.sumF(values)) -- 15\nprint(stats.avF(values))  -- 3\nprint(stats.stvF(values)) -- sample standard deviation\n```\n\n---\n\n## API Overview\n\n### Descriptive statistics\n\n| Legacy name         | Modern alias       | Description                             |\n| ------------------- | ------------------ | --------------------------------------- |\n| `sumF(array)`       | `sum(array)`       | Sum of numeric values                   |\n| `avF(array)`        | `mean(array)`      | Arithmetic mean                         |\n| `stvF(array)`       | `stddev(array)`    | Sample standard deviation using `n - 1` |\n| `frecuencyF(array)` | `frequency(array)` | Frequency distribution                  |\n\n\u003e `frecuencyF` keeps the original spelling for backward compatibility.\n\n### Additional descriptive statistics\n\n| Function               | Description                                                            |\n| ---------------------- | ---------------------------------------------------------------------- |\n| `variance(array)`      | Sample variance using `n - 1`                                          |\n| `median(array)`        | Median value                                                           |\n| `min(array)`           | Minimum value                                                          |\n| `max(array)`           | Maximum value                                                          |\n| `quantile(array, q)`   | Quantile using linear interpolation                                    |\n| `mode(array)`          | Most frequent value                                                    |\n| `range(array)`         | Difference between maximum and minimum                                 |\n| `iqr(array)`           | Interquartile range                                                    |\n| `percentile(array, p)` | Percentile where `p` is between `0` and `100`                          |\n| `summary(array)`       | Summary table with count, min, max, mean, median, variance, and stddev |\n\n### Sampling utilities\n\n| Function                          | Description                                    |\n| --------------------------------- | ---------------------------------------------- |\n| `choice(array)`                   | Returns one random item from an array          |\n| `shuffle(array)`                  | Returns a shuffled copy of an array            |\n| `sample(array, n)`                | Returns `n` random items without replacement   |\n| `weighted_choice(items, weights)` | Returns one random item using weights          |\n| `set_rng(rng_function)`           | Sets a custom random number generator          |\n| `reset_rng()`                     | Restores Lua's default random number generator |\n\n### Random variables and distributions\n\n| Legacy name                | Modern alias                 | Description                      |\n| -------------------------- | ---------------------------- | -------------------------------- |\n| `nomalVA(mu, sig)`         | `normal(mu, sig)`            | Normal random variable           |\n| `normalVA(mu, sig)`        | `normal(mu, sig)`            | Normal random variable           |\n| `normal_inv_D(p, mu, sig)` | `inverse_normal(p, mu, sig)` | Approximate inverse normal value |\n| `bernoulliVA(p)`           | `bernoulli(p)`               | Bernoulli random variable        |\n| `unifVA(min, max)`         | `uniform(min, max)`          | Uniform random variable          |\n| `expoVA(beta)`             | `exponential(beta)`          | Exponential random variable      |\n| `weibullVA(alpha, beta)`   | `weibull(alpha, beta)`       | Weibull random variable          |\n| `erlangVA(n, lambda)`      | `erlang(n, lambda)`          | Erlang random variable           |\n| `trianVA(a, b, c)`         | `triangular(a, b, c)`        | Triangular random variable       |\n| `binomialVA(n, p)`         | `binomial(n, p)`             | Binomial random variable         |\n| `geometricVA(p)`           | `geometric(p)`               | Geometric random variable        |\n| `poissonVA(lambda)`        | `poisson(lambda)`            | Poisson random variable          |\n| `chiSquareVA(n)`           | `chi_square(n)`              | Chi-square random variable       |\n| `gamVA(alpha, lambda)`     | `gamma(alpha, lambda)`       | Gamma random variable            |\n| `lognoVA(m, s)`            | `lognormal(m, s)`            | Log-normal random variable       |\n| `lognoRandVA(m, s)`        | `lognormal(m, s)`            | Log-normal random variable       |\n\n\u003e `nomalVA` and `lognoRandVA` are preserved as compatibility aliases.\n\n---\n\n## Examples\n\n### Twice two dice simulation\n\n```lua\nlocal stats = require(\"luasf\")\n\nlocal rolls = {}\n\nfor i = 1, 10000 do\n  rolls[i] = stats.rand(1, 6) + stats.rand(1, 6)\nend\n\nlocal frequencies = stats.frequency(rolls)\n\nfor i = 1, #frequencies.counts do\n  print(\"Frequency - Sum Number:\", frequencies.values[i], frequencies.counts[i])\nend\n```\n\n### Summary statistics\n\n```lua\nlocal stats = require(\"luasf\")\n\nlocal values = {10, 12, 14, 15, 18, 20}\nlocal result = stats.summary(values)\n\nprint(\"Count:\", result.count)\nprint(\"Min:\", result.min)\nprint(\"Max:\", result.max)\nprint(\"Mean:\", result.mean)\nprint(\"Median:\", result.median)\nprint(\"Variance:\", result.variance)\nprint(\"Stddev:\", result.stddev)\n```\n\n### Normal distribution quality control sample\n\n```lua\nlocal stats = require(\"luasf\")\n\nlocal alpha = 5 / 100\n\nprint(stats.normal_inv_D(alpha / 2))\nprint(stats.normal_inv_D(1 - alpha / 2))\n```\n\nExpected output:\n\n```text\n-1.9688213737864\n1.9688213737864\n```\n\n### Random choice and sampling\n\n```lua\nlocal stats = require(\"luasf\")\n\nlocal names = {\"Lua\", \"Python\", \"R\"}\n\nprint(stats.choice(names))\n\nlocal selected = stats.sample(names, 2)\n\nfor i = 1, #selected do\n  print(selected[i])\nend\n```\n\n### Weighted choice\n\n```lua\nlocal stats = require(\"luasf\")\n\nlocal items = {\"low\", \"medium\", \"high\"}\nlocal weights = {1, 2, 7}\n\nprint(stats.weighted_choice(items, weights))\n```\n\n### Deterministic custom RNG\n\n```lua\nlocal stats = require(\"luasf\")\n\nstats.set_rng(function()\n  return 0.0\nend)\n\nprint(stats.choice({\"first\", \"second\", \"third\"})) -- first\n\nstats.reset_rng()\n```\n\n---\n\n## Project structure\n\n```text\nLuaSF/\n  src/\n    luasf.lua\n  spec/\n    test_stats.lua\n    test_distributions.lua\n    test_sampling.lua\n  examples/\n    dice_simulation.lua\n    normal_quality_control.lua\n    gamma_distribution.lua\n    weighted_loot_drop.lua\n    monte_carlo_pi.lua\n    poisson_arrivals.lua\n    binomial_coin_flips.lua\n    bootstrap_mean.lua\n  docs/\n    api.md\n  .github/\n    workflows/\n      ci.yml\n      publish-luarocks.yml\n  LuaSF.lua\n  LuaStat.lua\n  README.md\n  CHANGELOG.md\n  CONTRIBUTING.md\n  LICENSE\n  luasf-0.2.0-1.rockspec\n  luasf-0.3.0-1.rockspec\n```\n\n---\n\n## Running tests\n\nInstall `luaunit`:\n\n```bash\nluarocks install --local luaunit\neval \"$(luarocks path --local)\"\n```\n\nRun tests:\n\n```bash\nlua spec/test_stats.lua\nlua spec/test_distributions.lua\nlua spec/test_sampling.lua\n```\n\n---\n\n## Running examples\n\n```bash\nlua examples/dice_simulation.lua\nlua examples/normal_quality_control.lua\nlua examples/gamma_distribution.lua\nlua examples/weighted_loot_drop.lua\nlua examples/monte_carlo_pi.lua\nlua examples/poisson_arrivals.lua\nlua examples/binomial_coin_flips.lua\nlua examples/bootstrap_mean.lua\n```\n\n---\n\n## Roadmap\n\n### Completed\n\n* Compatibility-safe project revival\n* Cleaner module structure\n* Legacy API preservation\n* Modern aliases\n* Basic tests\n* Examples\n* API documentation\n* Additional statistics helpers\n* Sampling utilities\n* Deterministic simulation support\n* LuaRocks publishing\n\n### Planned\n\n* Improve GitHub Actions CI with optional automatic checks for pull requests\n* Improve LuaRocks validation and publishing workflows\n* More examples\n* More statistical helpers\n* Lightweight cross-reference with LuaHMF\n* Future combinatorics helpers such as `factorial`, `combinations`, and `permutations`\n\n---\n\n## Author and Maintainer\n\n**Hubert Ronald** — Creator, author, and maintainer of LuaSF.\n\nGitHub: [HubertRonald](https://github.com/HubertRonald)\n\n---\n\n## Contributors\n\nThanks to the contributors who have helped improve LuaSF.\n\nSee the full list of contributors on GitHub:\n\n[LuaSF contributors](https://github.com/HubertRonald/LuaSF/graphs/contributors?all=1)\n\n---\n\n## License\n\nThis project is licensed under the MIT License. See the [LICENSE](LICENSE) file for details.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fhubertronald%2Fluasf","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fhubertronald%2Fluasf","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fhubertronald%2Fluasf/lists"}