Introduction - If you have any usage issues, please Google them yourself
/* root_x is an 8 bit number with four bits in front
of the binary point and four bits behind, increment
is an 11 bit number with 3 bits in front of the binary
point and 8 bits behind the binary point.
In order increase resolution and prevent the search
from stalling at number close to the correct answer,
the vector root_x is extened by another four
fractional bits.*/