Epsilon

Comparing floating point numbers is difficult. Instead of comparing two floating point numbers directly, you need to compare them using an epsilon. An epsilon is an arbitrarily small positive number that is the minimum difference two numbers need to have to be considered different numbers. Declare an epsilon constant in vec3.h:

#define VEC3_EPSILON 0.000001f

Important note:

You can learn more about floating point comparison at https://bitbashing.io/comparing-floats.html

With the vec3 structure created and the vec3 epsilon defined, you are ready to start implementing some common vector operations. In the next section, you're going to start by learning and implementing several component-wise operations.