numfu-lang 0.1

The NumFu programming language

NumFu Programming Language

NumFu is a functional programming language designed for readable & expressive code, extensibility, and mathematical computing with arbitrary precision arithmetic.

NumFu's simple syntax and semantics make it well-suited for educational applications, such as courses in functional programming and general programming introductions. At the same time, as its name suggests, NumFu is also ideal for exploring mathematical ideas and sketching algorithms, thanks to its native support for arbitrary-precision arithmetic.

Features

• Arbitrary Precision Arithmetic - Reliable mathematical computing powered by Python's mpmath
• First-Class Functions - Automatic currying, partial application, and function composition
• Expressive Syntax - Infix operators, spread/rest operators, and lots of syntactic sugar
• Tail Call Optimization for efficient recursive algorithms without stack overflow
• Interactive Development - Friendly REPL and helpful error messages
• Minimal Complexity - Only four core types: Number, Boolean, List, and String
• Python Integration - Large & reliable standard library through NumFu's Python runtime
• Extensible - NumFu is written entirely in Python with the goal of being extensible and easy to understand.

Quick Start

Installation

From PyPI

pip install numfu-lang

From Source

git clone https://github.com/dr-lego/numfu
cd numfu
make install

Hello NumFu!

Create hello.nfu:

// Mathematical computing with arbitrary precision
let golden = {depth ->
  let recur =
    {d -> if d <= 0 then 1 else 1 + 1 / recur(d - 1)}
  in recur(depth)
} in golden(10) // ≈ 1.618

// Function composition & piping
let add1 = {x -> x + 1},
    double = {x -> x * 2}
in 5 |> (add1 >> double) // 12

// Partial Application
{a, b, c -> a+b+c}(_, 5, _)
// {a,c -> a+5+c}

// Assertions
sqrt(49) ---> $ == 7

// Built-in testing with assertions
let square = {x -> x * x} in
  square(7) ---> $ == 49  // ✓ passes

Run it:

numfu hello.nfu

Interactive REPL

numfu repl

NumFu REPL. Type 'exit' or press Ctrl+D to exit.
>>> 2 + 3 * 4
14
>>> let square = {x -> x * x} in square(7)
49
>>> [1, 2, 3, 4, 5, 6, 7] |> filter(_, {x -> x%2 == 0}) |> max
6

📖 Documentation

• Language Guide - Complete language tutorial & reference
• Built-ins Reference - All built-in functions and operators
• CLI Reference - Command-line interface guide

[!NOTE] As a language interpreted in Python, which is itself an interpreted language, NumFu is not especially fast. Therefore, it is not recommended for performance-critical applications or large-scale projects. However, NumFu has not yet been thoroughly optimized so you can expect some performance improvements in the future.

🛠️ Development

Prerequisites

• Python ≥ 3.10

Setup Development Environment

git clone https://github.com/dr-lego/numfu
cd numfu

make build

NumFu contains built-ins written in NumFu itself (src/numfu/stdlib/builtins.nfu). make build first installs NumFu without the built-ins, then parses and serializes the file, and finally performs a full editable install. The script also builds NumFu and creates wheels.

Building Documentation

cd docusaurus && npm i && cd .. # make sure to install dependencies

make serve  # local preview
make docs   # build to 'docs-build'

Project Structure

numfu/
├── src/numfu/
│   ├── __init__.py         # Package exports
│   ├── _version.py         # Version & metadata
│   ├── classes.py          # Basic dataclasses
│   ├── parser.py           # Lark-based parser & AST generator
│   ├── interpreter.py      # Complete Interpreter
│   ├── modules.py          # Import/export & module resolving
│   ├── ast_types.py        # AST node definitions
│   ├── builtins.py         # Built-in functions
│   ├── cli.py              # Command-line interface
│   ├── repl.py             # Interactive REPL
│   ├── errors.py           # Error handling & display
│   ├── typechecks.py       # Built-in type system
│   ├── reconstruct.py      # Code reconstruction for printing
│   ├── grammar/            # Lark grammar files
│   └── stdlib/             # Standard library modules
├── docs/                   # Language documentation
│   ├── guide/              # User guides
│   └── reference/          # Reference
├── docusaurus/             # Docusaurus website
├── tests/                  # Test files
├── scripts/                # Build and utility scripts
└── pyproject.toml          # Configuration

Testing

NumFu is tested with over 300 tests covering core features, edge cases, and real-world examples — including most snippets from the documentation. Tests are grouped by category and include handwritten cases as well as tests generated by LLMs (mostly Claude Sonnet 4).

Every test is self-validating using assertions and fails with an error if the output isn’t exactly as expected.

To run all tests from the tests folder:

make test

Contributing

Found a bug or have an idea? Open an issue.

Want to contribute code?

• Check existing issues and TODO.md for open tasks.
• Run all tests before committing.
• Pull requests are welcome!

License

This project is licensed under Apache License 2.0 - see the LICENSE file for details.