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Learn to build flexible vector math libraries using C++20 Concepts and Customization Point Objects as alternatives to inheritance-based designs in this 56-minute conference talk from CppCon. Discover how to create mathematical abstractions that provide precise compile-time requirements with clear error messages and helpful diagnostics. Explore the implementation of a practical vector framework designed for high-performance scientific computing applications, including interpolation and iterative methods for linear and nonlinear systems. Master patterns that enable CPOs with intelligent fallbacks to parallel the familiar base-class/override structure of object-oriented programming while avoiding inheritance complications. Understand how static polymorphism and free functions deliver cleaner, more flexible solutions than traditional inheritance approaches, enabling seamless interoperability between diverse container types in the spirit of the STL. Gain insights from a decade of experience at Sandia National Laboratories addressing the challenges of OOP overuse, including complicated class hierarchies, parallelism compatibility issues, and testing difficulties, through the Real Vector Framework that demonstrates modern C++ practices for scientific computing while preserving critical performance requirements.
