numgraph-equation 0.1.1

Convert mathematical equations into graph structures for visualization

numgraph

A Python library that converts mathematical equations into graph/network structures for visualization and analysis.

What is numgraph?

numgraph turns mathematical relationships into nodes and edges, then visualizes them as interactive graphs. This helps users understand how variables and operations interact.

Use cases:

• Students learning algebra and calculus
• Data scientists analyzing feature dependencies
• Researchers visualizing mathematical formulas

Quick Start

Installation

Install from PyPI:

pip install numgraph-equation

Or install from source:

git clone https://github.com/Ayush-07-Mishra/numgraph.git
cd numgraph
pip install -e .

Basic Usage

from numgraph import make_graph

# Parse and visualize an equation
make_graph("x**2 + y**2 = 25", visualize=True)

# Create a function graph
make_graph("y = x**2 - 4*x + 3", func_range=(-10, 10), visualize=True)

Features

• Parse mathematical equations using SymPy
• Build graph structures with NetworkX
• Interactive HTML visualizations with PyVis
• Static plots with Matplotlib
• Export to GraphML and GEXF formats
• Function plotting with custom ranges

Examples

Circle Equation

from numgraph import make_graph

# Visualize the circle equation
make_graph("x**2 + y**2 = 25", visualize=True, save_path="circle.html")

Quadratic Function

from numgraph import make_graph

# Plot a parabola
make_graph("y = x**2 - 4*x + 3", func_range=(-2, 6), visualize=True)

Custom Graph Analysis

from numgraph.parser import EquationParser
from numgraph.graph_builder import GraphBuilder
from numgraph.visualizer import Visualizer

# Parse equation
parser = EquationParser("x**2 + 2*x*y + y**2 = 16")
nodes, edges = parser.parse()

# Build graph
builder = GraphBuilder(nodes, edges)
graph = builder.build()

# Visualize
viz = Visualizer(graph)
viz.show_interactive()  # Interactive HTML visualization
viz.show_static()       # Static matplotlib plot

API Reference

make_graph(equation, visualize=False, func_range=None, save_path=None)

Main function to create and optionally visualize equation graphs.

Parameters:

• equation (str): Mathematical equation or function
• visualize (bool): Whether to show visualization
• func_range (tuple): Range for function evaluation (min, max)
• save_path (str): Path to save interactive HTML visualization

Returns:

• networkx.Graph: Graph representation of the equation

Project Structure

numgraph/
├── numgraph/
│   ├── __init__.py         # Main API
│   ├── parser.py           # Equation parsing
│   ├── graph_builder.py    # Graph creation
│   ├── visualizer.py       # Visualization
│   └── dataset.py          # Dataset utilities
├── examples/
│   ├── circle_equation.py
│   ├── quadratic_function.py
│   └── custom_analysis.py
├── tests/
│   ├── test_parser.py
│   ├── test_graph_builder.py
│   └── test_visualizer.py
├── setup.py
├── README.md
└── requirements.txt

Testing

# Run all tests
python -m pytest tests/

# Run specific test
python -m pytest tests/test_parser.py -v

Dependencies

• sympy - Symbolic mathematics and parsing
• networkx - Graph creation and analysis
• pyvis - Interactive network visualization
• matplotlib - Static plotting
• numpy - Numerical computations

Contributing

Contributions are welcome! Please read CONTRIBUTING.md for details.

Contact

For questions or support: [e-mail]

For Students

• Visualize how equations are structured
• Understand operator precedence
• See variable relationships clearly

For Educators

Contact

For questions or support: [e-mail]