Let's address a fundamental problem with floating point values; they are very often not exact representations of the values assigned to them, rather they often represent something very near the assigned value.
For example, often when I would like to iterate from 0.0 to 1.0 with a step length of 0.1, I conveniently start with something like this:
for(float t = 0.0f; t <= 1.0f; t += 0.1f) { std::cout << t << ", ";}// Prints 0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,
The subtle problem here is that 0.1 cannot be represented by a floating point value; instead, it is represented by something slightly larger than 0.1, and therefore the loop will not reach 1.0f.
To solve ...
