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thank you very much for your reply. I did try to make it easy. so that it wouldn't make any problems.
router data
60.0 21.62
120.0 22.95
180.0 21.11
240.0 21.94
300.0 19.95
360.0 19.96...

I am so sorry for that I sent the answer without check it. You right it is t=(t(i+1) + t(i)) / 2.
I would appreciate it if you could check this again.

y = y(i) + {(y(i+1) - y(i)) (t - t(i))} /...

thank you very much for your reply...

yes, it is derived from the files. for example

As you said t = {t(i+1) - t(i)} / 2 and the new y = y(i) + {(y(i+1) - y(i))(t-t(i))}/{t(i+1) - t(i)}, if...

Thank you very much for your great help.
assume we have a graph (time, y) axis:

y(i+1) t(i+1)
/
y /
*
/ t
/...

sorry for that..
assume that we have sampled value in different time:
file1: router1.dat
t load
60 10.26
120 11.52
180 11.52
240 12.00

where t(1)=60, y(1)=10.26, t(2)=120,...

sorry for delay

Unfortunately, I cannot interpret your formula for y. Especially the y[i+1] bit. With awk and perl, you can look *behind* a line, but ahead of one. So it would be better if you...

hi otheus (https://www.unix.com/members/302022384.html)
sorry for delay.
here is the interpolation equation you asked last time.
the slope is give by: {y(i+1) - y(i)} / {t(i+1) - t(i)}

e(t)...

hi all
I am new to awk/perl I would appreciate it if you could help!
how do I read a sub folder and their files.
e.g. simulation/10ms/router1.dat, router2.dat,..., router16.dat
...