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    radix-tree: introduce bit-optimized iterator · 78c1d784
    Konstantin Khlebnikov authored
    
    
    A series of radix tree cleanups, and usage of them in the core pagecache
    code.
    
    Micro-benchmark:
    
    lookup 14 slots (typical page-vector size)
    in radix-tree there earch <step> slot filled and tagged
    before/after - nsec per full scan through tree
    
    * Intel Sandy Bridge i7-2620M 4Mb L3
    New code always faster
    
    * AMD Athlon 6000+ 2x1Mb L2, without L3
    New code generally faster,
    Minor degradation (marked with "*") for huge sparse trees
    
    * i386 on Sandy Bridge
    New code faster for common cases: tagged and dense trees.
    Some degradations for non-tagged lookup on sparse trees.
    
    Ideally, there might help __ffs() analog for searching first non-zero
    long element in array, gcc sometimes cannot optimize this loop corretly.
    
    Numbers:
    
    CPU: Intel Sandy Bridge i7-2620M 4Mb L3
    
    radix-tree with 1024 slots:
    
    tagged lookup
    
    step  1      before  7156        after  3613
    step  2      before  5399        after  2696
    step  3      before  4779        after  1928
    step  4      before  4456        after  1429
    step  5      before  4292        after  1213
    step  6      before  4183        after  1052
    step  7      before  4157        after  951
    step  8      before  4016        after  812
    step  9      before  3952        after  851
    step  10     before  3937        after  732
    step  11     before  4023        after  709
    step  12     before  3872        after  657
    step  13     before  3892        after  633
    step  14     before  3720        after  591
    step  15     before  3879        after  578
    step  16     before  3561        after  513
    
    normal lookup
    
    step  1      before  4266       after  3301
    step  2      before  2695       after  2129
    step  3      before  2083       after  1712
    step  4      before  1801       after  1534
    step  5      before  1628       after  1313
    step  6      before  1551       after  1263
    step  7      before  1475       after  1185
    step  8      before  1432       after  1167
    step  9      before  1373       after  1092
    step  10     before  1339       after  1134
    step  11     before  1292       after  1056
    step  12     before  1319       after  1030
    step  13     before  1276       after  1004
    step  14     before  1256       after  987
    step  15     before  1228       after  992
    step  16     before  1247       after  999
    
    radix-tree with 1024*1024*128 slots:
    
    tagged lookup
    
    step  1      before  1086102841  after  674196409
    step  2      before  816839155   after  498138306
    step  7      before  599728907   after  240676762
    step  15     before  555729253   after  185219677
    step  63     before  606637748   after  128585664
    step  64     before  608384432   after  102945089
    step  65     before  596987114   after  123996019
    step  128    before  304459225   after  56783056
    step  256    before  158846855   after  31232481
    step  512    before  86085652    after  18950595
    step  12345  before  6517189     after  1674057
    
    normal lookup
    
    step  1      before  626064869  after  544418266
    step  2      before  418809975  after  336321473
    step  7      before  242303598  after  207755560
    step  15     before  208380563  after  176496355
    step  63     before  186854206  after  167283638
    step  64     before  176188060  after  170143976
    step  65     before  185139608  after  167487116
    step  128    before  88181865   after  86913490
    step  256    before  45733628   after  45143534
    step  512    before  24506038   after  23859036
    step  12345  before  2177425    after  2018662
    
    * AMD Athlon 6000+ 2x1Mb L2, without L3
    
    radix-tree with 1024 slots:
    
    tag-lookup
    
    step  1      before  8164        after  5379
    step  2      before  5818        after  5581
    step  3      before  4959        after  4213
    step  4      before  4371        after  3386
    step  5      before  4204        after  2997
    step  6      before  4950        after  2744
    step  7      before  4598        after  2480
    step  8      before  4251        after  2288
    step  9      before  4262        after  2243
    step  10     before  4175        after  2131
    step  11     before  3999        after  2024
    step  12     before  3979        after  1994
    step  13     before  3842        after  1929
    step  14     before  3750        after  1810
    step  15     before  3735        after  1810
    step  16     before  3532        after  1660
    
    normal-lookup
    
    step  1      before  7875        after  5847
    step  2      before  4808        after  4071
    step  3      before  4073        after  3462
    step  4      before  3677        after  3074
    step  5      before  4308        after  2978
    step  6      before  3911        after  3807
    step  7      before  3635        after  3522
    step  8      before  3313        after  3202
    step  9      before  3280        after  3257
    step  10     before  3166        after  3083
    step  11     before  3066        after  3026
    step  12     before  2985        after  2982
    step  13     before  2925        after  2924
    step  14     before  2834        after  2808
    step  15     before  2805        after  2803
    step  16     before  2647        after  2622
    
    radix-tree with 1024*1024*128 slots:
    
    tag-lookup
    
    step  1      before  1288059720  after  951736580
    step  2      before  961292300   after  884212140
    step  7      before  768905140   after  547267580
    step  15     before  771319480   after  456550640
    step  63     before  504847640   after  242704304
    step  64     before  392484800   after  177920786
    step  65     before  491162160   after  246895264
    step  128    before  208084064   after  97348392
    step  256    before  112401035   after  51408126
    step  512    before  75825834    after  29145070
    step  12345  before  5603166     after  2847330
    
    normal-lookup
    
    step  1      before  1025677120  after  861375100
    step  2      before  647220080   after  572258540
    step  7      before  505518960   after  484041813
    step  15     before  430483053   after  444815320	*
    step  63     before  388113453   after  404250546	*
    step  64     before  374154666   after  396027440	*
    step  65     before  381423973   after  396704853	*
    step  128    before  190078700   after  202619384	*
    step  256    before  100886756   after  102829108	*
    step  512    before  64074505    after  56158720
    step  12345  before  4237289     after  4422299		*
    
    * i686 on Sandy bridge
    
    radix-tree with 1024 slots:
    
    tagged lookup
    
    step  1      before  7990        after  4019
    step  2      before  5698        after  2897
    step  3      before  5013        after  2475
    step  4      before  4630        after  1721
    step  5      before  4346        after  1759
    step  6      before  4299        after  1556
    step  7      before  4098        after  1513
    step  8      before  4115        after  1222
    step  9      before  3983        after  1390
    step  10     before  4077        after  1207
    step  11     before  3921        after  1231
    step  12     before  3894        after  1116
    step  13     before  3840        after  1147
    step  14     before  3799        after  1090
    step  15     before  3797        after  1059
    step  16     before  3783        after  745
    
    normal lookup
    
    step  1      before  5103       after  3499
    step  2      before  3299       after  2550
    step  3      before  2489       after  2370
    step  4      before  2034       after  2302		*
    step  5      before  1846       after  2268		*
    step  6      before  1752       after  2249		*
    step  7      before  1679       after  2164		*
    step  8      before  1627       after  2153		*
    step  9      before  1542       after  2095		*
    step  10     before  1479       after  2109		*
    step  11     before  1469       after  2009		*
    step  12     before  1445       after  2039		*
    step  13     before  1411       after  2013		*
    step  14     before  1374       after  2046		*
    step  15     before  1340       after  1975		*
    step  16     before  1331       after  2000		*
    
    radix-tree with 1024*1024*128 slots:
    
    tagged lookup
    
    step  1      before  1225865377  after  667153553
    step  2      before  842427423   after  471533007
    step  7      before  609296153   after  276260116
    step  15     before  544232060   after  226859105
    step  63     before  519209199   after  141343043
    step  64     before  588980279   after  141951339
    step  65     before  521099710   after  138282060
    step  128    before  298476778   after  83390628
    step  256    before  149358342   after  43602609
    step  512    before  76994713    after  22911077
    step  12345  before  5328666     after  1472111
    
    normal lookup
    
    step  1      before  819284564  after  533635310
    step  2      before  512421605  after  364956155
    step  7      before  271443305  after  305721345	*
    step  15     before  223591630  after  273960216	*
    step  63     before  190320247  after  217770207	*
    step  64     before  178538168  after  267411372	*
    step  65     before  186400423  after  215347937	*
    step  128    before  88106045   after  140540612	*
    step  256    before  44812420   after  70660377		*
    step  512    before  24435438   after  36328275		*
    step  12345  before  2123924    after  2148062		*
    
    bloat-o-meter delta for this patchset + patchset with related shmem cleanups
    
    bloat-o-meter: x86_64
    
    add/remove: 4/3 grow/shrink: 5/6 up/down: 928/-939 (-11)
    function                                     old     new   delta
    radix_tree_next_chunk                          -     499    +499
    shmem_unuse                                  428     554    +126
    shmem_radix_tree_replace                     131     227     +96
    find_get_pages_tag                           354     419     +65
    find_get_pages_contig                        345     407     +62
    find_get_pages                               362     396     +34
    __kstrtab_radix_tree_next_chunk                -      22     +22
    __ksymtab_radix_tree_next_chunk                -      16     +16
    __kcrctab_radix_tree_next_chunk                -       8      +8
    radix_tree_gang_lookup_slot                  204     203      -1
    static.shmem_xattr_set                       384     381      -3
    radix_tree_gang_lookup_tag_slot              208     191     -17
    radix_tree_gang_lookup                       231     187     -44
    radix_tree_gang_lookup_tag                   247     199     -48
    shmem_unlock_mapping                         278     190     -88
    __lookup                                     217       -    -217
    __lookup_tag                                 242       -    -242
    radix_tree_locate_item                       279       -    -279
    
    bloat-o-meter: i386
    
    add/remove: 3/3 grow/shrink: 8/9 up/down: 1075/-1275 (-200)
    function                                     old     new   delta
    radix_tree_next_chunk                          -     757    +757
    shmem_unuse                                  352     449     +97
    find_get_pages_contig                        269     322     +53
    shmem_radix_tree_replace                     113     154     +41
    find_get_pages_tag                           277     318     +41
    dcache_dir_lseek                             426     458     +32
    __kstrtab_radix_tree_next_chunk                -      22     +22
    vc_do_resize                                 968     977      +9
    snd_pcm_lib_read1                            725     733      +8
    __ksymtab_radix_tree_next_chunk                -       8      +8
    netlbl_cipsov4_list                         1120    1127      +7
    find_get_pages                               293     291      -2
    new_slab                                     467     459      -8
    bitfill_unaligned_rev                        425     417      -8
    radix_tree_gang_lookup_tag_slot              177     146     -31
    blk_dump_cmd                                 267     229     -38
    radix_tree_gang_lookup_slot                  212     134     -78
    shmem_unlock_mapping                         221     128     -93
    radix_tree_gang_lookup_tag                   275     162    -113
    radix_tree_gang_lookup                       255     126    -129
    __lookup                                     227       -    -227
    __lookup_tag                                 271       -    -271
    radix_tree_locate_item                       277       -    -277
    
    This patch:
    
    Implement a clean, simple and effective radix-tree iteration routine.
    
    Iterating divided into two phases:
    * lookup next chunk in radix-tree leaf node
    * iterating through slots in this chunk
    
    Main iterator function radix_tree_next_chunk() returns pointer to first
    slot, and stores in the struct radix_tree_iter index of next-to-last slot.
     For tagged-iterating it also constuct bitmask of tags for retunted chunk.
     All additional logic implemented as static-inline functions and macroses.
    
    Also adds radix_tree_find_next_bit() static-inline variant of
    find_next_bit() optimized for small constant size arrays, because
    find_next_bit() too heavy for searching in an array with one/two long
    elements.
    
    [akpm@linux-foundation.org: rework comments a bit]
    Signed-off-by: default avatarKonstantin Khlebnikov <khlebnikov@openvz.org>
    Tested-by: default avatarHugh Dickins <hughd@google.com>
    Cc: Christoph Hellwig <hch@lst.de>
    Signed-off-by: default avatarAndrew Morton <akpm@linux-foundation.org>
    Signed-off-by: default avatarLinus Torvalds <torvalds@linux-foundation.org>
    78c1d784