Awesome GitHub RepositoriesPower Functions

This project is a header-only C++ library designed for graphics mathematics, providing a comprehensive suite of vector, matrix, and quaternion types. It is built using template metaprogramming to generate mathematical primitives at compile time, eliminating the need for precompiled binary libraries and allowing for direct integration into existing build systems. The library is distinguished by its strict adherence to the OpenGL Shading Language specification, ensuring that mathematical results remain consistent across both CPU and GPU code. It provides specialized utilities for managing float

This project is a comprehensive Lisp AI implementation library that provides reference implementations for various artificial intelligence paradigms and symbolic algorithms. It functions as a multi-purpose toolkit containing a logic programming engine, a natural language processing suite, and a symbolic mathematics toolkit. The library is distinguished by its diverse architectural frameworks, including a Prolog-style execution engine that uses unification and goal-driven backtracking, and a system for simulating human decision-making through expert system shells and certainty factors. It also

This is an arbitrary-precision decimal library and fixed-point math implementation used to eliminate floating-point rounding errors. It provides tools for high-precision arithmetic, a numerical analysis toolkit, and a database decimal mapper to ensure numerical accuracy in financial and scientific calculations. The library includes specialized serialization tools to transform high-precision numbers into SQL database types, JSON, and XML formats without losing precision. It also implements a variety of rounding strategies, including banker and cash rounding, and provides mechanisms for decimal

IronCalc is an XLSX spreadsheet engine and formula evaluator designed to compute numerical expressions and manage workbook structures. It utilizes a logic engine compatible with industry standards to evaluate formulas and manage cell dependencies. The project provides a comprehensive suite of specialized toolkits, including a financial calculation library for bond pricing and net present value, and an engineering math toolkit for complex number arithmetic and Bessel functions. It also features a web-based spreadsheet interface for creating and formatting workbooks. The engine covers a broad

xtensor is a C++ multidimensional array library for numerical computing that provides N-dimensional containers with an interface mirroring the NumPy API. It utilizes a lazy evaluation expression engine to defer numerical computations until assignment, which minimizes memory allocations and intermediate copies. The library features a foreign memory array adaptor that allows it to wrap external buffers, such as NumPy arrays, to perform numerical operations in-place without duplicating data. It further optimizes performance through lazy broadcasting and a system that manages the lifetime of temp