Numerical Computing Framework in Modern C++

A production-grade numerical-analysis framework implemented in modern C++17, showcasing applied mathematics, algorithmic precision, and modular software design.

This project models continuous physical systems — motion, energy, and dynamics — through discrete numerical methods.
It demonstrates how to structure mathematical computing code for clarity, performance, and reusability.

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Key Capabilities

Domain	Technique	Implementation
Object-Oriented Design	Player & Team abstraction, encapsulated state, derived metrics	src/oop_foundations/
Data-Driven Kinematics	Coordinate transforms, numerical differentiation, velocity & acceleration	src/tracking_kinematics/
Energy Modelling	Lagrange interpolation, trapezoidal & Newton–Cotes integration	src/energy_integration/
Physics Simulation	6-state Runge–Kutta (RK4) solver for projectile dynamics with drag & Magnus effects	src/ballistics_rk4/

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Architecture

. ├── src/ │ ├── oop_foundations/ │ ├── tracking_kinematics/ │ ├── energy_integration/ │ ├── ballistics_rk4/ │ └── common/ # interpolation, RK4, shared utils ├── include/ ├── data/ # raw inputs (git-ignored outputs) ├── docs/ # PDF brief(s) ├── report/figures/ # generated plots (git-ignored) ├── CMakeLists.txt └── README.md

The framework follows production-engineering principles:

• Modular, reusable code units
• Strict compiler hygiene (-Wall -Wextra -Wpedantic)
• Automated builds via CMake
• Continuous-integration ready (.github/workflows/cpp.yml)
• Platform-independent (tested on macOS / Linux)

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Mathematical Focus

Method	Concept	Use Case
Finite Difference Derivatives	Numerical gradients	Compute velocity & acceleration
Lagrange Interpolation	Polynomial curve fitting	Estimate power from speed data
Composite Trapezoid Rule	Numerical integration	Energy spent by player
Newton–Cotes (4-point)	Higher-order integration	Precision benchmarking
Runge–Kutta 4 (RK4)	ODE integration	Simulate ball trajectory
Magnus Effect & Drag	Cross-product physics	Spin-induced curve motion

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Tech Stack

Category	Tools / Frameworks
Language	C++ 17
Build System	CMake
CI/CD	GitHub Actions
Data Tools	valarray · fstream · gnuplot (visualisation)
Platforms	macOS (clang++) · Linux (g++)

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Build & Run

# Clone and build
git clone https://github.com/abailey81/numerical-computing-cpp.git
cd numerical-computing-cpp
mkdir build && cd build
cmake ..
cmake --build . -j

# Execute modules
./oop_foundations
./tracking_kinematics
./energy_integration
./ballistics_rk4 25    # try 20–30 m/s variations