• Ganesh Ajjanagadde's avatar
    swresample/resample: speed up build_filter by 50% · 9bec6d71
    Ganesh Ajjanagadde authored
    This speeds up build_filter by ~ 50%. This gain should be pretty
    consistent across all architectures and platforms.
    
    Essentially, this relies on a observation that the filters have some
    even/odd symmetry that may be exploited during the construction of the
    polyphase filter bank. In particular, phases (scaled to [0, 1]) in [0.5, 1] are
    easily derived from [0, 0.5] and expensive reevaluation of function
    points are unnecessary. This requires some rather annoying even/odd
    bookkeeping as can be seen from the patch.
    
    I vaguely recall from signal processing theory more general symmetries allowing even greater
    optimization of the construction. At a high level, "even functions"
    correspond to 2, and one can imagine variations. Nevertheless, for the sake
    of some generality and because of existing filters, this is all that is
    being exploited.
    
    Currently, this patch relies on phase_count being even or (trivially) 1,
    though this is not an inherent limitation to the approach. This
    assumption is safe as phase_count is 1 << phase_bits, and is hence a
    power of two. There is no way for user API to set it to a nontrivial odd
    number. This assumption has been placed as an assert in the code.
    
    To repeat, this assumes even symmetry of the filters, which is the most common
    way to get generalized linear phase anyway and is true of all currently
    supported filters.
    
    As a side note, accuracy should be identical or perhaps slightly better
    due to this "forcing" filter symmetries leading to a better phase
    characteristic. As before, I can't test this claim easily, though it may
    be of interest.
    
    Patch tested with FATE.
    
    Sample benchmark (x86-64, Haswell, GNU/Linux):
    
    test: swr-resample-dblp-44100-2626
    
    new:
    527376779 decicycles in build_filter(loop 1000),     256 runs,      0 skips
    524361765 decicycles in build_filter(loop 1000),     512 runs,      0 skips
    516552574 decicycles in build_filter(loop 1000),    1024 runs,      0 skips
    
    old:
    974178658 decicycles in build_filter(loop 1000),     256 runs,      0 skips
    972794408 decicycles in build_filter(loop 1000),     512 runs,      0 skips
    954350046 decicycles in build_filter(loop 1000),    1024 runs,      0 skips
    
    Note that lower level optimizations are entirely possible, I focussed on
    getting the high level semantics correct. In any case, this should
    provide a good foundation.
    Reviewed-by: 's avatarMichael Niedermayer <michael@niedermayer.cc>
    Signed-off-by: 's avatarGanesh Ajjanagadde <gajjanagadde@gmail.com>
    9bec6d71
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