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linux - Speeding up python mmap using madvise

I used python's mmap to access random locations of very large files fairly quickly. Now I read about madvise() and tried to speed up the random access of the memory mapped file even more. The behaviour I am seeing now is confusing so I kindly ask for help. I have an array of positions (byte-offsets) in the file at which I want to read multiple of the following lines. For each of these byte offsets I call mm.madvise(mmap.MADV_WILLNEED, ..) to tell the kernel(?) that they will be accessed shortly. This speeds things up if I grab a single line. But if I try to access multiple lines the timings are strange. Some example code and timings underneath:

import mmap
import numpy as np

source = "path/to/file"
offsets = np.array([28938058915, 12165253255,  3363686649,  2337907709, 18321471207,
                    3043986123, 29547707866, 23431772405, 14399201212,  8695070697], dtype="uint64")


def get_data_batch(source, offsets):
    # open the big file in byte mode and initiate the mmap
    with open(source, 'rb') as f:
        mm = mmap.mmap(f.fileno(), 0, access=mmap.ACCESS_READ)
        pagesize = 4096

        # prepare starts sites for madvise call
        # start of WILLNEED has to be multiple of pagesize
        new_offsets = offsets - (offsets % pagesize)

        # tell kernel which positions are needed
        for new_offset in new_offsets:
            # preload say 20 pages of data following each offset
            mm.madvise(mmap.MADV_RANDOM)
            mm.madvise(mmap.MADV_WILLNEED, int(new_offset), 20)

        # now actually read the data
        for offset in offsets:
            # Use offset to jump to position in file
            mm.seek(offset)
            # read several lines at that position
            chunk1 = mm.readline()
            chunk2 = mm.readline()
            chunk3 = mm.readline()
            chunk4 = mm.readline()
            chunk5 = mm.readline()
            chunk6 = mm.readline()

If I execute the function without the use of madvise(), I can see that accessing the first line takes quite some time but the following ones are very fast:

Line #      Hits         Time  Per Hit   % Time  Line Contents
==============================================================
...

    22       100    1360035.0  13600.4     98.1              chunk1 = mm.readline()
    23       100      12004.0    120.0      0.9              chunk2 = mm.readline()
    24       100         94.0      0.9      0.0              chunk3 = mm.readline()
    25       100        282.0      2.8      0.0              chunk4 = mm.readline()
    26       100         63.0      0.6      0.0              chunk5 = mm.readline()
    27       100      11785.0    117.8      0.8              chunk6 = mm.readline()

If I include madvise(), I get an overall speed-up and the first line is read very quickly. But some of the following ones take some time now, albeit much less:

Line #      Hits         Time  Per Hit   % Time  Line Contents
==============================================================
...
    22       100       4514.0     45.1      1.7              chunk1 = mm.readline()
    23       100     107462.0   1074.6     39.7              chunk2 = mm.readline()
    24       100         89.0      0.9      0.0              chunk3 = mm.readline()
    25       100      79073.0    790.7     29.2              chunk4 = mm.readline()
    26       100         91.0      0.9      0.0              chunk5 = mm.readline()
    27       100      71475.0    714.8     26.4              chunk6 = mm.readline()

Can somebody explain what's going on? And is there a way to make all readline() calls as fast as the quickest ones?

Merci


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