Gamedev Framework (gf)
0.8.0
A C++14 framework for 2D games

gf provides a generic gf::Vector type and a generic gf::Matrix type that are used throughout the library.
A gf::Vector represents a mathematical vector in a \( N \)dimensional space. It has a broad range of applications. The most obvious is to represent the position of an object in the world space but it's not the only one.
The gf::Vector type is totally generic regarding its type but also its dimension \( N \).
gf defines common mathematical operators for two vectors but also for a vector and a scalar. In each case, type conversion is made if necessary, following the usual rules of the language. The following table gives the semantics of the main operations between two vectors \( \mathbf{a} \) and \( \mathbf{b} \), or between a vector \( \mathbf{a} \) and a scalar \( \lambda \). These operations are all defined componentwise.
\( \bullet \)  \( \mathbf{a} \bullet \mathbf{b} \)  \( \mathbf{a} \bullet \lambda \)  \( \lambda \bullet \mathbf{a} \) 

\( + \)  \( a_i + b_i \)  \( a_i + \lambda \)  \( \lambda + a_i \) 
\(  \)  \( a_i  b_i \)  \( a_i  \lambda \)  \( \lambda  a_i \) 
\( * \)  \( a_i * b_i \)  \( a_i * \lambda \)  \( \lambda * a_i \) 
\( / \)  \( a_i / b_i \)  \( a_i / \lambda \)  \( \lambda / a_i \) 
gf also defines equality and inequality operators for vectors.
A simple transformation in gf is a rotation followed by a translation. A simple rotation is represented by the gf::Rotation type, a simple translation is represented by the gf::Translation type, and the simple transformation is represented by the gf::Transform type.
These simple transformations are useful in the physics engine.
You can define a generic affine transformation in 2D with a transformation matrix thanks to the gf::Matrix3f type.