fcpm is a header-only, C++23 template library for linear algebra and graphics programming.

Overview

This project serves as a personal laboratory for experimenting with modern C++ optimization techniques. The core features of the library are:

• Lazy-evaluation: fcpm avoids unnecessary memory allocations and redundant loops by using expression templates (when useful).
• Modern C++23: leverages the latest language features, including multi-dimensional subscript operators, concepts and template metaprogramming to ensure type safety and compile-time optimizations.
• STL integration: everything is designed with STL-compatibility in mind.
• Constexpr-capable: fcpm is designed to be 100% constexpr-capable. Every functionality can be used in a compile-time context.
• Linear algebra: custom matrix and vector types, view objects and solvers.
• Graphics: custom quaternion and unit quaternion types, geometric transforms and conversions.

Status

While the core architecture is established, this repository is an active work-in-progress. Here are some of the features that I plan to add in the future:

• SIMD support
• analysis module for tasks such as differentiation, integration, etc.
• Library API macros and compiler-specific options (e.g. force-inline).
• Pretty-print options.
• Mask operations.
• More algorithms to further optimize complex expression trees.
• Better constexpr mathematical functions (the current ones use Taylor expansions, leading to massive errors in some situations).
• Support for more Euler angles' conventions.