Remap vector of values between -1 to 1-CodePudding

I have two sampled vectors, there one vector maximum value is 0.8 and the minimum value is -0.8. 2nd vector minimum value is 0.2 and maximum value is 0.3. There 1st and 2nd vector, I want to re map all the values in sampled vector between -1 to 1. How do I do that. Im looking for method which applying outlined two vectors. Thank you in advance.

Sampled vector 1.

[ -0.8, 0.7 , -0.23, 0.56, 0.456, -0.344, -0.75, 0.8]

Sampled vector 2.

  [ 0.2, 0.23,  0.21,  0.29, 0.26, 0.25, 0.3]

CodePudding user response：

General formula to map xmin..xmax range onto new_min..new_max one:

X' = new_min   (new_max - new_min)*(X - xmin)/(xmax-xmin)

  for destination range -1..1:
X' = -1   2 * (X - xmin) / (xmax-xmin)

  for source range 0.2..0.3:
X' = -1   20 * (X - 0.2) = -5   20 * X

CodePudding user response：

You are trying to normalize between [-1, 1]

Obtain the ratio:

norm_ratio = 1/.8

and multiply every element in your vector to get the desired result