mechanicsdsl-core 1.0.0

A Domain-Specific Language for Classical Mechanics with Symbolic and Numerical Analysis

MechanicsDSL

A Domain-Specific Language for Classical Mechanics - A comprehensive framework for symbolic and numerical analysis of classical mechanical systems using LaTeX-inspired notation.

Features

• Symbolic Computation: Automatic derivation of equations of motion from Lagrangians and Hamiltonians
• Numerical Simulation: Advanced ODE solvers with adaptive step sizing
• Visualization: Interactive animations and phase space plots
• Unit System: Comprehensive dimensional analysis and unit checking
• Constraint Handling: Support for holonomic and non-holonomic constraints
• Performance Monitoring: Built-in profiling and optimization tools

Installation

pip install mechanicsdsl-core

Quick Start

from mechanicsdsl-core import PhysicsCompiler

# Define a simple pendulum system
dsl_code = """
system pendulum
var theta: angle [rad]
parameter g = 9.81 [m/s^2]
parameter L = 1.0 [m]
lagrangian = 0.5 * m * L^2 * \\dot{theta}^2 - m * g * L * (1 - \\cos{theta})
initial theta = 0.1, \\dot{theta} = 0
solve method=rk45 t_span=[0, 10]
animate
"""

# Compile and run
compiler = PhysicsCompiler()
result = compiler.compile_dsl(dsl_code)
solution = compiler.simulate(t_span=(0, 10))
compiler.animate(solution)

Testing

Run the test suite:

pytest tests/ -v

Or run tests in Google Colab - see COLAB_TESTING.md for instructions!

Documentation

Full documentation is available at https://mechanicsdsl.readthedocs.io/en/latest/index.html

License

MIT License - see LICENSE file for details.

Citation

If you use MechanicsDSL in your research, please cite:

@software{mechanics_dsl,
  author = {Parsons, Noah},
  title = {MechanicsDSL: A Domain-Specific Language for Classical Mechanics},
  year = {2025},
  url = {https://github.com/MechanicsDSL/mechanicsdsl}
}