differintC 0.0.1

Fast C++ implementation of fractional calculus operators via pybind11

differintC

differintC is a high-performance C++ library with Python bindings for computing fractional differintegrals (derivatives and integrals of arbitrary real order) using numerical methods.

This package implements optimized versions of the Riemann–Liouville and Grünwald–Letnikov (GL) fractional differintegral operators, inspired by the original DifferInt project.

⚙️ Built with modern C++17 and exposed to Python via pybind11, this library is significantly faster than pure-Python equivalents, especially for large arrays and high-precision needs.

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📦 Installation

pip install differintC

To build from source:

git clone https://github.com/your-username/differintC-project.git
cd differintC-project
pip install .

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🚀 Usage

from differintC import RLpoint, RL, GLpoint, GL

# Example 1: Riemann–Liouville at a single point
result = RLpoint(0.5, lambda x: x**2)
print("RLpoint(0.5, x^2) =", result)

# Example 2: RL on a whole domain
import numpy as np
x = np.linspace(0, 1, 100)
f = x**2
out = RL(0.5, f)

# Example 3: Grünwald–Letnikov pointwise
gl_res = GLpoint(0.5, lambda x: np.sqrt(x))

# Example 4: Full array version (fastest)
gl_array = GL(0.5, lambda x: np.sqrt(x))

All functions support either a NumPy array or a Python callable as the f_name argument.

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📚 Implemented Functions

Function	Description
RLpoint	Riemann–Liouville differintegral at a point
RL	RL differintegral over a uniform domain
GLpoint	Grünwald–Letnikov at a point (optimized)
GL	Vectorized GL differintegral with FFT

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⚖️ License and Credits

This package was inspired by and based on the original DifferInt project. We thank the authors for their foundational work in fractional calculus.

Licensed under MIT.

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🛠 Development Notes

See the todo list 1 for the development roadmap and planned features. Contributions are welcome.