[Numpy-discussion] simple problem with arange / roundoff
Eric Emsellem
emsellem@obs.univ-lyon1...
Tue Jul 31 09:28:09 CDT 2007
Hi,
I discovered a bug in one of my program probably due to a round-off
problem in a "arange" statement.
I use something like:
step = (end - start) / (npix - 1.)
gridX = num.arange(start-step/2., end+step/2., step)
where I wish to get a simple 1D array with npix+1 numbers going from
(start-step/2.) to (end+step/2.).
But then, "arange" often gets me an array only going from
"start-step/2." to "end - step/2." instead, due very probably to
round-off problems (I guess it does not reach the last value because
<<(start-step/2.) + npix * step >> is found to be larger than (end+step/2.).
Here is an example:
start = -30.
end = 30.
npix = 31
step = (end - start) / (npix - 1.)
gridX = num.arange(start-step/2., end+step/2., step)
array([-31., -29., -27., -25., -23., -21., -19., -17., -15., -13., -11.,
-9., -7., -5., -3., -1., 1., 3., 5., 7., 9., 11.,
13., 15., 17., 19., 21., 23., 25., 27., 29.])
As you can see, it does not go up to 31., but only to 29, although step
is = 2.0
Is there is a way out of this ?
(except by doing the silly: gridX = num.arange(start-step/2.,
end+1.001*step/2., step) )
Thanks for any input there (and sorry for the silly question)
Eric
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