Numerical Patterns

Normalize Values

Scale by the Maximum

Normalization can convert raw values to ratios by dividing each value by a reference such as the maximum.

Program

Play the program to choose the maximum value used for scaling.

normalize_values.f90 
program normalize_values_demo
    implicit none
    real :: raw(3), scaled(3)
    real :: max_value

    raw = [2.0, 4.0, 8.0]
    max_value = 
    scaled = raw / max_value
    print '(F0.2, 1X, F0.2, 1X, F0.2)', scaled(1), scaled(2), scaled(3)
end program normalize_values_demo

program normalize_values_demo
    implicit none
    real :: raw(3), scaled(3)
    real :: max_value

    raw = [2.0, 4.0, 8.0]
    max_value = 
    scaled = raw / max_value
    print '(F0.2, 1X, F0.2, 1X, F0.2)', scaled(1), scaled(2), scaled(3)
end program normalize_values_demo

program normalize_values_demo
    implicit none
    real :: raw(3), scaled(3)
    real :: max_value

    raw = [2.0, 4.0, 8.0]
    max_value = 
    scaled = raw / max_value
    print '(F0.2, 1X, F0.2, 1X, F0.2)', scaled(1), scaled(2), scaled(3)
end program normalize_values_demo
array division `raw / max_value` divides every element by the scalar.
normalization Scaling by a reference value makes magnitudes easier to compare.
formatting `F0.2` prints each ratio with two decimal places.