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### List with "3 integer" entries – Find the closest entry to 3 entered integers

Mar 27 2013 | 9:32 pm

Hi,

My problem is a bit complicated, especially since I’m not so used to visual programming.

I have a list (it doesn’t have to be a qlist) with predefined 128 entries/lines. Each entry has three integer values. They range from 0 to 127.
Here is an example:
33 50 40
61 30 53
etc.

I want to enter three integer values, find the one which is the closest and return it.
An example:
My entered number 37 52 42 would be really close to entry 1, so the output would be entry 1: 33 50 40

I first thought about summing up all the values:
33 50 40 = 123
61 30 53 = 144
Entered number: 37 52 42 = 131
And than subtract the sum of the entries of the list with the sum of the entered number to find the smallest number:
131-123 = 8
131-144 = -13
The first entry is the closest.

Unfortunately this isn’t working. Imagine the following case:
55 27 40 = 122
95 3 2 = 100
My entry: 44 25 42 = 100

The second value of the list would be the perfect fit according to the algorithm, but it isn’t. The first entry would be a a lot better, as the individual integer values are much closer to the integers of my entry.

So If I’m right, than I must find the entry with the smallest deviation of the individual integers.
Like:
55 27 40 deviation of: -11 2 -2 to my entry 44 25 42 — Highest number: 11
95 3 2 deviation of: 51 -24 38 to my entry 44 25 42 ——Highest number: 51

First entry wins, how it should be.

But how can I do this? Especially as it should be as fast as possible.
This is a probably a complex problem, but I simply don’t know how to start and where to look, as I´m not so used to max msp.

I would appreciate every help! Thanks!

Mar 27 2013 | 10:41 pm

Have a look to zsa.dist, it finds closest list using various algorithms. Or you can calculate yourself the distances between the input list and all the stored ones.

Mar 28 2013 | 1:52 am

notwithstanding EJ’s fine work, I’d probably just use pythagorean distance measure:

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Mar 28 2013 | 9:25 am

Wow, thanks so much Terry! Exactly what I need.

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