From 37ba334dc58ba333c4627cf38337b1e847621b0f Mon Sep 17 00:00:00 2001 From: ZHU Yuhao Date: Thu, 19 Feb 2026 22:49:04 +0100 Subject: [PATCH 1/2] Add stamojo --- recipes/stamojo/README.md | 248 ++++++++++++++++++++++++++++++++++++ recipes/stamojo/recipe.yaml | 37 ++++++ recipes/stamojo/stamojo.png | Bin 0 -> 101942 bytes 3 files changed, 285 insertions(+) create mode 100644 recipes/stamojo/README.md create mode 100644 recipes/stamojo/recipe.yaml create mode 100644 recipes/stamojo/stamojo.png diff --git a/recipes/stamojo/README.md b/recipes/stamojo/README.md new file mode 100644 index 00000000..88f5a1b6 --- /dev/null +++ b/recipes/stamojo/README.md @@ -0,0 +1,248 @@ +# StaMojo + +![icon](stamojo.png) + +A statistical computing library for [Mojo](https://www.modular.com/mojo), inspired by `scipy.stats` and `statsmodels` in Python. + +**[Repository on GitHub»](https://github.com/mojomath/stamojo)** | **[Discord channel»](https://discord.gg/3rGH87uZTk)** + +- [Overview](#overview) +- [Status](#status) +- [Background](#background) +- [Installation](#installation) +- [Examples](#examples) +- [Architecture](#architecture) +- [Roadmap](#roadmap) +- [License](#license) + +## Overview + +StaMojo (Statistics + Mojo) brings comprehensive statistical computing to the Mojo ecosystem. The library is organized into two parts: + +| Part | Scope | Dependencies | +| --------------------------------------------- | --------------------------------------------------------------------------------------- | ----------------------------------------------------------------------------------------------------------------------- | +| **Part I — Statistical Computing Foundation** | Special functions, distributions, descriptive statistics, hypothesis tests, correlation | Mojo stdlib only | +| **Part II — Statistical Modeling** | OLS, GLM, logistic regression, and model diagnostics | [NuMojo](https://github.com/Mojo-Numerics-and-Algorithms-group/NuMojo) + [MatMojo](https://github.com/mojomath/matmojo) | + +Part I is **available now** with zero external dependencies. Part II will begin once the upstream linear-algebra ecosystem stabilizes on a compatible Mojo release. + +### Why a separate library? + +In the Python ecosystem, `scipy` bundles statistics, optimization, signal processing, integration, interpolation, and more into one giant package. For Mojo, a modular approach is more appropriate: + +| Python package | Mojo equivalent | Focus | +| ------------------------------- | -------------------------------------------------------------------------- | --------------------------------- | +| `numpy` | [**NuMojo**](https://github.com/Mojo-Numerics-and-Algorithms-group/NuMojo) | N-dimensional arrays, basic math | +| `decimal` / `mpmath` | [**DeciMojo**](https://github.com/mojomath/decimojo) | Arbitrary-precision arithmetic | +| `numpy.linalg` / `scipy.linalg` | [**MatMojo**](https://github.com/mojomath/matmojo) | Linear algebra | +| `scipy.stats` | **StaMojo** (distributions + tests) | Statistical distributions & tests | +| `statsmodels` | **StaMojo** (models) | Statistical models & econometrics | + +Placing `scipy.stats`-like functionality and `statsmodels`-like regression in **one library** is intentional: regression models inherently depend on distribution functions (for p-values, confidence intervals, etc.), so co-locating them avoids circular dependencies, simplifies versioning, and provides a cohesive API. + +## Status + +**v0.1** — Part I is complete and ready for use. The current release provides: + +| Category | Functions | +| ----------------- | ----------------------------------------------------------------------------------------------- | +| Special functions | `gammainc`, `gammaincc`, `beta`, `lbeta`, `betainc`, `erfinv`, `ndtri` | +| Distributions | `Normal`, `StudentT`, `ChiSquared`, `FDist` — each with PDF, log-PDF, CDF, SF, PPF, `rvs` | +| Descriptive stats | `mean`, `variance`, `std`, `median`, `quantile`, `skewness`, `kurtosis`, `data_min`, `data_max` | +| Correlation | `pearsonr`, `spearmanr`, `kendalltau` (with p-values) | +| Hypothesis tests | `ttest_1samp`, `ttest_ind`, `ttest_rel`, `chi2_gof`, `chi2_ind`, `ks_1samp`, `f_oneway` | + +All 30 functions are self-contained (Mojo stdlib only) and covered by unit tests validated against SciPy reference values. + +> **What about Part II (statistical models)?** +> OLS regression and GLMs require matrix operations that depend on [NuMojo](https://github.com/Mojo-Numerics-and-Algorithms-group/NuMojo) and [MatMojo](https://github.com/mojomath/matmojo). These upstream libraries are still fast evolving. Part II will resume once the ecosystem catches up. See the [full roadmap](docs/roadmap.md) for details. + +## Background + +Due to my academic and professional background, I work extensively with hypothesis testing and regression models on a daily basis, and have been a long-time user of Stata and `statsmodels`. It has been two years since Mojo first appeared, and [NuMojo](https://github.com/Mojo-Numerics-and-Algorithms-group/NuMojo) now has its core functionality in place. Driven by my enthusiasm for Mojo, I felt it was time to start migrating some of my personal research projects to the Mojo ecosystem — and that is precisely how StaMojo was born. + +The library is designed around two pillars: + +1. **Part I — Statistical computing foundation** (self-contained) — special functions, probability distributions, descriptive statistics, hypothesis tests, and correlation. +2. **Part II — Statistical modeling** (depends on NuMojo and MatMojo) — OLS, GLM, logistic regression, and related diagnostics. + +At the moment I am still building out the project scaffolding and solidifying the core functionality. Because Mojo has not yet reached v1.0, breaking changes are frequent across compiler releases, so **pull requests are not preferred at this time**. If you have any suggestions, questions, or feedback, please feel free to open an [issue](https://github.com/mojomath/stamojo/issues), start a [discussion](https://github.com/mojomath/stamojo/discussions), or reach out on our [Discord channel](https://discord.gg/3rGH87uZTk). Thank you for your understanding! + +## Installation + +StaMojo is available in the modular-community `https://repo.prefix.dev/modular-community` package repository. To access this repository, add it to your `channels` list in your `pixi.toml` file: + +```toml +channels = ["https://conda.modular.com/max", "https://repo.prefix.dev/modular-community", "conda-forge"] +``` + +Then, you can install StaMojo using any of these methods: + +1. From the `pixi` CLI, run the command ```pixi add stamojo```. This fetches the latest version and makes it immediately available for import. + +1. In the `mojoproject.toml` file of your project, add the following dependency: + + ```toml + stamojo = "==0.1.0" + ``` + + Then run `pixi install` to download and install the package. + +1. For the latest development version in the `main` branch, clone [this GitHub repository](https://github.com/mojomath/stamojo) and build the package locally using the command `pixi run package`. + + ```bash + git clone https://github.com/mojomath/stamojo.git + cd stamojo + pixi install + pixi run package + ``` + +The following table summarizes the package versions and their corresponding Mojo versions: + +| `stamojo` | `mojo` | package manager | +| --------- | -------- | --------------- | +| v0.1.0 | ==0.26.1 | pixi | + +## Examples + +The file [`examples/examples.mojo`](examples/examples.mojo) demonstrates the key APIs available in Part I. Run it with: + +```bash +mojo run -I src examples/examples.mojo +``` + +```mojo +from stamojo.special import gammainc, gammaincc, beta, lbeta, betainc, erfinv, ndtri +from stamojo.distributions import Normal, StudentT, ChiSquared, FDist +from stamojo.stats import ( + mean, variance, std, median, quantile, skewness, kurtosis, + pearsonr, spearmanr, kendalltau, + ttest_1samp, ttest_ind, ttest_rel, + chi2_gof, chi2_ind, ks_1samp, f_oneway, +) + + +fn main() raises: + # --- Special functions --------------------------------------------------- + print("gammainc(1, 2) =", gammainc(1.0, 2.0)) # 0.8646647167628346 + print("gammaincc(1, 2) =", gammaincc(1.0, 2.0)) # 0.13533528323716537 + print("beta(2, 3) =", beta(2.0, 3.0)) # 0.08333333333323925 + print("betainc(2, 3, 0.5) =", betainc(2.0, 3.0, 0.5)) # 0.6875000000000885 + print("erfinv(0.5) =", erfinv(0.5)) # 0.4769362762044701 + print("ndtri(0.975) =", ndtri(0.975)) # 1.9599639845400543 + + # --- Distributions ------------------------------------------------------- + var n = Normal(0.0, 1.0) + print("Normal(0,1).pdf(0) =", n.pdf(0.0)) # 0.3989422804014327 + print("Normal(0,1).cdf(1.96)=", n.cdf(1.96)) # 0.9750021048517795 + print("Normal(0,1).ppf(0.975)=", n.ppf(0.975)) # 1.9599639845400543 + print("Normal(0,1).sf(1.96) =", n.sf(1.96)) # 0.02499789514822043 + + var t = StudentT(10.0) + print("StudentT(10).cdf(2.0)=", t.cdf(2.0)) # 0.9633059826444078 + print("StudentT(10).ppf(0.975)=", t.ppf(0.975)) # 2.2281388540534057 + + var c = ChiSquared(5.0) + print("ChiSquared(5).cdf(11.07)=", c.cdf(11.07)) # 0.9499903814759155 + + var f = FDist(5.0, 10.0) + print("FDist(5,10).cdf(3.33)=", f.cdf(3.33)) # 0.9501687242532277 + + # --- Descriptive statistics ---------------------------------------------- + var data: List[Float64] = [2.0, 4.0, 4.0, 4.0, 5.0, 5.0, 7.0, 9.0] + print("mean =", mean(data)) # 5.0 + print("variance=", variance(data, ddof=0)) # 4.0 + print("std =", std(data, ddof=0)) # 2.0 + print("median =", median(data)) # 4.5 + print("Q(0.25) =", quantile(data, 0.25)) # 4.0 + print("skewness=", skewness(data)) # 0.8184875533567997 + print("kurtosis=", kurtosis(data)) # 0.940625 + + # --- Correlation --------------------------------------------------------- + var x: List[Float64] = [1.0, 2.0, 3.0, 4.0, 5.0] + var y: List[Float64] = [2.1, 3.8, 6.0, 7.9, 10.1] + var pr = pearsonr(x, y) + print("pearsonr r=", pr[0], " p=", pr[1]) # 0.9991718425080479, 2.8605484175113625e-05 + var sr = spearmanr(x, y) + print("spearmanr ρ=", sr[0], " p=", sr[1]) # 1.0, 0.0 + var kt = kendalltau(x, y) + print("kendalltau τ=", kt[0], " p=", kt[1]) # 1.0, 0.014305878435429659 + + # --- Hypothesis tests ---------------------------------------------------- + var sample: List[Float64] = [5.1, 4.8, 5.3, 5.0, 4.9, 5.2] + var res = ttest_1samp(sample, 5.0) + print("ttest_1samp t=", res[0], " p=", res[1]) # 0.654653670707975, 0.5416045608507769 + + var a: List[Float64] = [1.0, 2.0, 3.0, 4.0, 5.0] + var b: List[Float64] = [4.0, 5.0, 6.0, 7.0, 8.0] + var res2 = ttest_ind(a, b) + print("ttest_ind t=", res2[0], " p=", res2[1]) # -3.0, 0.0170716812337895 + + var obs: List[Float64] = [16.0, 18.0, 16.0, 14.0, 12.0, 14.0] + var exp: List[Float64] = [15.0, 15.0, 15.0, 15.0, 15.0, 15.0] + var res3 = chi2_gof(obs, exp) + print("chi2_gof χ²=", res3[0], " p=", res3[1]) # 1.4666666666666666, 0.9168841203537823 + + var g1: List[Float64] = [3.0, 4.0, 5.0] + var g2: List[Float64] = [6.0, 7.0, 8.0] + var g3: List[Float64] = [9.0, 10.0, 11.0] + var groups = List[List[Float64]]() + groups.append(g1^) + groups.append(g2^) + groups.append(g3^) + var res4 = f_oneway(groups) + print("f_oneway F=", res4[0], " p=", res4[1]) # 27.0, 0.0010000000005315757 +``` + +## Architecture + +```txt +src/stamojo/ +├── __init__.mojo # Package root (re-exports distributions & stats) +├── prelude.mojo # Convenient re-exports +├── special/ # Special mathematical functions (cf. scipy.special) +│ ├── __init__.mojo +│ ├── _gamma.mojo # gammainc, gammaincc +│ ├── _beta.mojo # beta, lbeta, betainc +│ └── _erf.mojo # erfinv, ndtri +├── distributions/ # Probability distributions +│ ├── __init__.mojo +│ ├── normal.mojo # Normal (Gaussian) — PDF, logPDF, CDF, SF, PPF, rvs +│ ├── t.mojo # Student's t +│ ├── chi2.mojo # Chi-squared +│ └── f.mojo # F-distribution +├── stats/ # Descriptive stats & hypothesis tests +│ ├── __init__.mojo +│ ├── descriptive.mojo # mean, variance, std, median, quantile, skewness, kurtosis +│ ├── correlation.mojo # pearsonr, spearmanr, kendalltau +│ └── tests.mojo # ttest_1samp, ttest_ind, ttest_rel, chi2_gof, chi2_ind, ks_1samp, f_oneway +└── models/ # Statistical models (planned) + ├── __init__.mojo + └── ols.mojo # Ordinary Least Squares (stub) +tests/ +├── test_all.sh # Run all test suites +├── test_special.mojo # tests — special functions +├── test_distributions.mojo # tests — Normal, t, χ², F +├── test_stats.mojo # tests — descriptive statistics +└── test_hypothesis.mojo # tests — hypothesis tests, correlation, ANOVA +``` + +## Roadmap + +The project is organized into **Part I** (scipy.stats-equivalent, no external dependencies) and **Part II** (statsmodels-equivalent, requires NuMojo + MatMojo). Phases 0–2 are complete; see the [full roadmap](docs/roadmap.md) for all planned phases. + +| | Phase | Status | +| ----------- | ------------------------------------------------ | ------------------------- | +| **Part I** | Phase 0 — Special Functions | ✓ | +| | Phase 1 — Core Distributions & Descriptive Stats | ✓ | +| | Phase 2 — Hypothesis Testing & Correlation | ✓ | +| | Phase 3 — Extended Distributions | planned | +| | Phase 4 — Extended Tests & Utilities | planned | +| **Part II** | Phase 5 — OLS Regression | awaiting NuMojo / MatMojo | +| | Phase 6 — Generalized Linear Models | awaiting NuMojo / MatMojo | +| | Phase 7 — Extended Models | planned | +| | Phase 8 — Advanced Topics | planned | + +## License + +This repository and its contributions are licensed under the Apache License v2.0. diff --git a/recipes/stamojo/recipe.yaml b/recipes/stamojo/recipe.yaml new file mode 100644 index 00000000..5d783ebb --- /dev/null +++ b/recipes/stamojo/recipe.yaml @@ -0,0 +1,37 @@ +context: + version: "0.1.0" + mojo_version: "=0.26.1" + +package: + name: "stamojo" + version: ${{ version }} + +source: + - git: https://github.com/mojomath/stamojo.git + rev: 86d5b3ca37c90cab5e0c7c691422856d259d9aed + +build: + number: 0 + script: + - mkdir -p ${PREFIX}/lib/mojo + - mojo package src/stamojo -o ${{ PREFIX }}/lib/mojo/stamojo.mojopkg + +requirements: + host: + - mojo-compiler ${{ mojo_version }} + build: + - mojo-compiler ${{ mojo_version }} + run: + - mojo-compiler ${{ mojo_version }} + +about: + homepage: https://github.com/mojomath/stamojo + license: Apache-2.0 + license_file: LICENSE + summary: A statistical computing library for Mojo + repository: https://github.com/mojomath/stamojo.git + +extra: + project_name: stamojo + maintainers: + - forfudan diff --git a/recipes/stamojo/stamojo.png b/recipes/stamojo/stamojo.png new file mode 100644 index 0000000000000000000000000000000000000000..1ffa749dd47f18a8d6cff3299a0c01929fe578a2 GIT binary patch literal 101942 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88f5a1b6..a68df4cd 100644 --- a/recipes/stamojo/README.md +++ b/recipes/stamojo/README.md @@ -1,6 +1,6 @@ # StaMojo -![icon](stamojo.png) +![icon](image.jpeg) A statistical computing library for [Mojo](https://www.modular.com/mojo), inspired by `scipy.stats` and `statsmodels` in Python. diff --git a/recipes/stamojo/image.jpeg b/recipes/stamojo/image.jpeg new file mode 100644 index 0000000000000000000000000000000000000000..23b20064c53ab00e8895624f1ec6ebdf6a1c5be3 GIT binary patch literal 37483 zcmeFYcT^Ky_b(mpMzXYYN^E}y;6!R)~@4^uzX z%N+tSHH9cZAdn-F!z_FdR`84k{DZKFK-m9v4uRZf5&f@o2Nt=1-*X58ImG|p_s4oc z*#3P#*yq2R(ZB!yk6(^w5C{i&h3)LQb82ZU|8dT8h!yhYKd-BuJ^O~`zk7Uh=s$a8 zfxKb;@AIO=|Gwv6FZt)|9}fJ(fqyvg4+s9?z&{-LhXem`;2#eB!-0P|@DB(6;lMu} z_}_EjU>@=m!t$?nhy@J84;?zh%Ek&dw!>_Hx5FHV|J6AD-H!aLasJ)7{;RS4{S+%J zJNV%`a`?!9UH?BmIamPW`r`*5A-qTaMjcpLBq4`*Sy*{l4tiJ$KoElcKSubUWPsyj zV?WGsg!3rZamXPSR@OsotnBP;An?Ev@i&yf#>>ukTJ6eVesd=dN&ge)o}}d;k-A#b 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