Normalize unit vector to single didgit integers

I am trying to normalize a vector to integers. For example, I would like [ .4 .-4 .8] to be [ 1 -1 2]. However, if it is not a perfect for example, [.123 .123 .5] would be [123 123 500] but I would like it to be rounded to a single didgit integer. I.E instead of [123 123 500] it would be [1 1 5].

Ive seen v=x/norm(x) but this does not work even for obvious cases.

Answer 1

[the cyclist]

Does the following do what you want?

f = @(t) round(t/abs(min(t)));

f([ 0.4 -0.4 0.8])

ans = 1×3

1 -1 2

f([ 0.123 0.123 .5])

ans = 1×3

1 1 4

It gives a different result for your second example, but I think it is a better normalization because it is closer to the original ratio.

Answer 2

[Stephen23]

fun = @(V) round(V./10.^floor(log10(abs(V))));
fun([0.4,-0.4,0.8])

ans = 1×3

4 -4 8

fun([0.123,0.123,0.5])

ans = 1×3

1 1 5

Note that this scales each element independently, to give the result you asked for. The ratio of values is better represented by the cyclist's answer.