How shift output of array

How shift the output of an array from [-1,1] to [-pi,pi]

For example:

[-1 -0.5 0 0.5 1] -----> [-pi , -pi+0.5 , 0 , pi-0.5 , pi ]

[Dyuman Joshi]

What is the logic behind this shift?

Answer 1

[Jan]

If the transformation should be linear, this is a multiplication:

a = [-1, 1]

a = 1×2

-1 1

b = a * pi

b = 1×2

-3.1416 3.1416

But "[-1 -0.5 0 0.5 1] -----> [-pi , -pi+0.5 , 0 , pi-0.5 , pi ]" is strange and you have to explain uniquely, how this function is defined. There is an infinite number of transformations, which convert the first values into the second.