Expand description
§RSSN: Rust Symbolic and Scientific Numerics
rssn is a comprehensive library for symbolic mathematics and scientific computing in Rust.
It aims to provide a powerful and expressive toolkit for a wide range of mathematical tasks,
from symbolic algebra and calculus to advanced numerical simulation.
§Key Features
- Symbolic Computation: A powerful Computer Algebra System (CAS) for manipulating mathematical expressions, performing calculus (derivatives, integrals, limits), and solving equations.
- Numerical Methods: A rich collection of algorithms for numerical integration, solving differential equations (ODEs and PDEs), optimization, and more.
- Physics Simulation: High-level tools and examples for simulating physical systems, including fluid dynamics, electromagnetism, and quantum mechanics.
- Extensibility: A plugin system (under development) to allow for easy extension of core functionality.
- Versatile Output: Render expressions as pretty-printed text, LaTeX, or plots.
§Crate Structure
The rssn crate is organized into the following main modules:
symbolic: The core of the CAS. It defines theExprtree and provides all functionality for symbolic manipulation.numerical: Contains implementations of various numerical algorithms, such as quadrature, root-finding, and interpolation.physics: Implements numerical methods specifically for physics simulations, such as the Finite Element Method (FEM), Finite Difference Method (FDM), and various time-stepping schemes.output: Provides tools for formatting and displaying expressions in different formats.plugins: A placeholder for a future plugin system to extend the library’s capabilities.prelude: Re-exports the most common types and functions for convenient use.
§Example: Symbolic Differentiation
use rssn::prelude::*;
// Create a symbolic variable 'x'
let x = Expr::Variable("x".to_string());
// Define an expression: sin(x^2)
let expr = Expr::Sin(Box::new(Expr::Power(Box::new(x.clone()), Box::new(Expr::Constant(2.0)))));
// Differentiate the expression with respect to 'x'
let derivative = diff(&expr, "x");
// The result will be: (cos(x^2) * (2 * x))
// Note: The actual output format may vary.
println!("The derivative is: {}", derivative);This library is currently in active development. The API may change, and contributions from the community are welcome.