Antoine Pitrou added the comment:

FileIO.readall() already has an overallocation mechanism which should yield 
linear complexity. Perhaps it needs to be tweaked a bit?
(look at new_buffersize in Modules/_io/fileio.c)

By the way, your results are bit weird. Why does the data rate increase with 
the transfered amount?

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<http://bugs.python.org/issue15758>
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