Intersect two datetime vectors with 1min tolerance

Hello everyone, I am currently trying to find the common values between two datetime vectors (attached) and return their indexes on their respective lists with a tolerance of +-1min. I was trying to approach this using intersect as so:

[COMPS_data_CGGPBR,i_CGGPBR,i_PBR] = intersect(data_tracking_CGGPBR,data_tracking_PBR, 'Rows');

However, I don't know how to add the 1 minute tolerance that I need. It is a shame, because this function gives exactly what I need: the common datetime and the indexes that they first appear on each list.

Since my thinking is apparently leading nowhere, what can I use to solve this problem? I have tried simple loops, but it would take me ~250 days to calculate it all.

Thanks in advance,

Arthur.

Answer 1

[Seth Furman]

load(websave('data_tracking_PBR.mat', 'https://www.mathworks.com/matlabcentral/answers/uploaded_files/904455/data_tracking_PBR.mat'));
load(websave('data_tracking_CGGPBR.mat', 'https://www.mathworks.com/matlabcentral/answers/uploaded_files/904460/data_tracking_CGGPBR.mat'));

A = unique(data_tracking_PBR, "sorted");
B = unique(data_tracking_CGGPBR, "sorted");
tol = minutes(1);

i = 1;
j = 1;
ia = false(1, length(A));
ib = false(1, length(B));
while i <= length(A) && j <= length(B)
    if abs(B(j)-A(i)) <= tol
        ia(i) = true;
        ib(j) = true;
        if B(j) <= A(i)
            j = j + 1;
        else
            i = i + 1;
        end
    elseif A(i) < B(j)-tol
        i = i + 1;
    else
        j = j + 1;
    end
end
C = union(A(ia), B(ib))

C = 205115×1 datetime array
   31-May-2021 12:59:00
   31-May-2021 13:00:00
   31-May-2021 13:01:00
   31-May-2021 13:02:00
   31-May-2021 13:03:00
   31-May-2021 13:04:00
   31-May-2021 13:05:00
   31-May-2021 13:06:00
   31-May-2021 13:07:00
   31-May-2021 13:08:00
   31-May-2021 13:09:00
   31-May-2021 13:10:00
   31-May-2021 13:11:00
   31-May-2021 13:12:00
   31-May-2021 13:13:00
   31-May-2021 13:14:00
   31-May-2021 13:15:00
   31-May-2021 13:16:00
   31-May-2021 13:17:00
   31-May-2021 13:18:00
   31-May-2021 13:19:00
   31-May-2021 13:20:00
   31-May-2021 13:21:00
   31-May-2021 13:22:00
   31-May-2021 13:23:00
   31-May-2021 13:24:00
   31-May-2021 13:25:00
   31-May-2021 13:26:00
   31-May-2021 13:27:00
   31-May-2021 13:28:00