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C++ - designing an accelerated 'gradient descent' algorithm.

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I think we need a "rewrite" - part 10.
I am going to look into how to solve the following problem:
Given two cubics, what is the first point where one deviates more than 10% of the height relative to one of the extremes from the other in between a given interval?
To check an algorithm for this I will write a program that allows me to graphically draw two cubics and have everything else related been drawn too, so we can visually see immediately if things work.
DESCRIPTION OF THE FUNCTION UNDER TEST:
I am going to look into how to solve the following problem:
Given two cubics, what is the first point where one deviates more than 10% of the height relative to one of the extremes from the other in between a given interval?
To check an algorithm for this I will write a program that allows me to graphically draw two cubics and have everything else related been drawn too, so we can visually see immediately if things work.
DESCRIPTION OF THE FUNCTION UNDER TEST: