The KFR library is a high-performance C++ framework for digital signal processing (DSP) and audio applications. It provides optimized implementations of FFT/DFT, filter design (FIR/IIR), sample rate conversion, audio file I/O (supporting WAV, FLAC, MP3, AIFF, CAF, etc.), SIMD-accelerated mathematical operations, and tensor/multi-dimensional array operations. The library is designed for real-time processing and scientific computing, with architecture-specific optimizations for x86 SIMD, ARM NEON, and RISC-V RVV, and runtime dispatch for multiarchitecture support. Key architectural features include a header-only design (with optional separate compilation), expression templates for lazy evaluation and operator fusion, a portable SIMD abstraction layer, and a tensor system with NumPy interoperability. The library is used in production by scientific collaborations such as LIGO, Virgo, and KAGRA for gravitational-wave signal processing, benchmarked against FFTW. It employs a dual licensing model (GPLv2+/commercial) and requires C++20 for compilation. The codebase demonstrates strong engineering practices through reusable components such as the SIMD vector abstraction (vec<T, N>), expression template system, tensor class, and audio data handling unit. These components are self-contained, exhibit non-obvious skill in C++ template metaprogramming, and can be extracted for use in other projects with minimal modification. The library is actively maintained, with recent commits and CI/CD pipelines, and shows low technical drift by keeping pace with modern C++ standards and hardware advancements.
CppNumericalSolvers is a header-only C++17 library for numerical optimization that provides a suite of modern solvers for both unconstrained and constrained problems. The library features a sophisticated expression template system for building complex objective functions, implementations of popular algorithms like L-BFGS, BFGS, and Newton's method, and advanced constrained optimization via the Augmented Lagrangian method. It uses Eigen3 as its sole dependency for linear algebra operations and is designed for easy integration into other projects. The architecture is modular with separate components for function interfaces, solvers, line searches, and utilities, all leveraging C++ templates for flexibility and performance.
ExprTk is a header-only C++ library for runtime mathematical expression parsing and evaluation. It provides a complete system for defining mathematical expressions as strings, compiling them into an internal AST representation, and evaluating them with variable values. The library supports scalar, vector, and string types, arithmetic operations, trigonometric functions, logarithms, control structures (if, for, while, switch), user-defined functions, and assignment operations within expressions. It employs sophisticated parsing techniques including constant folding, strength reduction optimizations, and runtime safety checks for vector bounds and loop execution time. The architecture consists of three main components: symbol table (for variables/constants/functions), expression (holding the parsed AST), and parser (compiling expression strings).