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Interpolation

Interpolation is used to calculate a value that lies a fractional distance between two given values. Given values A and B, the value N is at the fractional distance f  (0 < f < 1.0) between them:

N = A + f(B-A)

For example, suppose that we want to find the value that is one-fourth (0.25) of the way between 25 and 28:

A = 25
B = 28
f = 0.25
N = A + f(B-A)
  = 25 + 0.25(28-25)
  = 25 + 0.25(3)
  = 25 + 0.75
  = 25.75