Fast Walsh Transform Implementation

This program is a library implementation of the Fast Walsh Transform, containing two primary functions. The Walsh Transform is a Fourier-related algorithm that converts discrete data sequences into alternative representations. This transformation technique finds extensive applications in digital signal processing, data compression, image processing, and related fields. Our implementation employs efficient algorithmic approaches using butterfly operations and recursive decomposition to achieve O(n log n) computational complexity. The core functions handle both forward and inverse transformations, supporting various data types and array configurations through optimized memory management and vectorized operations. The library demonstrates exceptional performance when processing large datasets, featuring parallel processing capabilities and cache-friendly memory access patterns. We provide comprehensive documentation with detailed parameter specifications, along with practical example codes showcasing common use cases such as spectral analysis, pattern recognition, and data compression scenarios. These resources make library integration straightforward and facilitate rapid implementation in diverse technical applications.