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Date:	Sun, 27 Sep 2009 18:47:39 +0800
From:	Wu Fengguang <fengguang.wu@...el.com>
To:	Andi Kleen <andi@...stfloor.org>
Cc:	Andrew Morton <akpm@...ux-foundation.org>,
	Hugh Dickins <hugh.dickins@...cali.co.uk>,
	Nick Piggin <npiggin@...e.de>,
	"linux-mm@...ck.org" <linux-mm@...ck.org>,
	LKML <linux-kernel@...r.kernel.org>
Subject: Re: [RFC][PATCH] HWPOISON: remove the unsafe __set_page_locked()

On Sat, Sep 26, 2009 at 07:31:56PM +0800, Wu Fengguang wrote:
> On Sat, Sep 26, 2009 at 06:52:59PM +0800, Wu Fengguang wrote:
> > On Sat, Sep 26, 2009 at 11:49:36AM +0800, Andi Kleen wrote:
> > > On Sat, Sep 26, 2009 at 11:15:37AM +0800, Wu Fengguang wrote:
> > > > The swap cache and page cache code assume that they 'own' the newly
> > > > allocated page and therefore can disregard the locking rules. However
> > > > now hwpoison can hit any time on any page.
> > > > 
> > > > So use the safer lock_page()/trylock_page(). The main intention is not
> > > > to close such a small time window of memory corruption. But to avoid
> > > > kernel oops that may result from such races, and also avoid raising
> > > > false alerts in hwpoison stress tests.
> > > > 
> > > > This in theory will slightly increase page cache/swap cache overheads,
> > > > however it seems to be too small to be measurable in benchmark.
> > > 
> > > Thanks. Can you please describe what benchmarks you used?
> > 
> > Good question. The test case is to copy 1GB sparse file over NFS.
> > 
> > I ran it 100 times (2 hours total wall time) and the overheads are ~0.008%.
> 
> And standard deviation is 0.04%, much larger than the difference 0.008% ..

Sorry that's not correct. I improved the accounting by treating
function0+function1 from two CPUs as an integral entity:

                 total time      add_to_page_cache_lru   percent  stddev
         before  3880166848.722  9683329.610             0.250%   0.014%
         after   3828516894.376  9778088.870             0.256%   0.012%
         delta                                           0.006%

Thanks,
Fengguang


> > The average time reported by the function profiler:
> > 
> >                 total time      add_to_page_cache_lru   percent
> >         before  1940083424.361  4841664.805             0.242%
> >         after   1914258447.188  4889044.435             0.250%
> > 
> > The script used is:
> > 
> >         for i in `seq 1 100`
> >         do      
> >                 # copy 1GB sparse file over NFS
> >                 echo 1 > /debug/tracing/function_profile_enabled
> >                 cp /tmp/sparse/1G /dev/null
> >                 echo 0 > /debug/tracing/function_profile_enabled
> > 
> >                 fadvise /tmp/sparse/1G 0 0 dontneed
> >                 cat /debug/tracing/trace_stat/function0 > function0.$i
> >                 cat /debug/tracing/trace_stat/function1 > function1.$i
> >         done
> > 
> > 
> > File function0.1 after patch:
> > 
> >   Function                               Hit    Time            Avg
> >   --------                               ---    ----            ---
> >   schedule                             32492    474358128 us     14599.22 us 
> >   schedule_timeout                        26    99994288 us     3845934 us 
> >   poll_schedule_timeout                    8    52914376 us     6614297 us 
> >   sys_poll                                 6    52914373 us     8819062 us 
> >   schedule_hrtimeout_range                 8    52914373 us     6614296 us 
> >   do_sys_poll                              6    52914355 us     8819059 us 
> >   sys_read                             86997    40703194 us     467.868 us  
> >   vfs_read                             87002    40550651 us     466.088 us  
> >   do_sync_read                         86987    40011054 us     459.965 us  
> >   nfs_file_read                        86985    39945631 us     459.224 us  
> >   generic_file_aio_read                86985    39785858 us     457.387 us  
> >   page_cache_async_readahead            2886    34379069 us     11912.35 us 
> >   ondemand_readahead                    2889    34371850 us     11897.49 us 
> >   ra_submit                             2891    34368378 us     11888.05 us 
> >   __do_page_cache_readahead             2891    34360744 us     11885.41 us 
> >   nfs_readpages                         2876    33198107 us     11543.15 us 
> >   read_cache_pages                      2876    31617284 us     10993.49 us 
> >   __rpc_execute                        84468    25404441 us     300.758 us  
> >   readpage_async_filler               174071    24947004 us     143.315 us  
> >   do_softirq                           44822    24829675 us     553.961 us  
> >   __do_softirq                         44822    24803408 us     553.375 us  
> >   net_rx_action                        38424    24357207 us     633.906 us  
> >   e1000_clean                          39042    24253141 us     621.206 us  
> >   nfs_pageio_doio                      43534    22993433 us     528.171 us  
> >   nfs_pagein_one                       43520    22939752 us     527.108 us  
> >   nfs_read_rpcsetup                    43513    22533176 us     517.849 us  
> >   e1000_clean_rx_irq                   39042    22047306 us     564.707 us  
> >   rpc_run_task                         43528    22042766 us     506.404 us  
> >   call_transmit                        45873    21842655 us     476.154 us  
> >   nfs_pageio_add_request              174091    21583666 us     123.979 us  
> >   rpc_execute                          43528    21254402 us     488.292 us  
> >   cpuidle_idle_call                    18073    19445493 us     1075.941 us 
> >   acpi_idle_enter_c1                   17999    19396945 us     1077.667 us 
> >   e1000_receive_skb                   436279    18818686 us     43.134 us   
> >   tcp_v4_do_rcv                       513521    18681598 us     36.379 us   
> >   xprt_transmit                        43346    18532249 us     427.542 us  
> >   tcp_rcv_established                 513521    18384627 us     35.801 us   
> >   napi_gro_receive                    436279    18114586 us     41.520 us   
> >   napi_skb_finish                     436279    17130261 us     39.264 us   
> >   netif_receive_skb                   436279    16886046 us     38.704 us   
> >   ip_rcv                              436279    16500338 us     37.820 us   
> >   xs_tcp_send_request                  43346    16418581 us     378.779 us  
> >   xs_sendpages                         43346    16367619 us     377.603 us  
> >   xs_send_kvec                         43347    16310325 us     376.273 us  
> >   kernel_sendmsg                       43347    16254698 us     374.990 us  
> >   sock_sendmsg                         43347    16177184 us     373.201 us  
> >   tcp_sendmsg                          43347    16127746 us     372.061 us  
> >   do_IRQ                               45271    15968995 us     352.742 us  
> >   ip_local_deliver                    436279    15816133 us     36.252 us   
> >   irq_exit                             53709    15421475 us     287.130 us  
> >   acpi_processor_ffh_cstate_ente       17999    15394735 us     855.310 us  
> >   mwait_idle_with_hints                17999    15386089 us     854.830 us  
> >   tcp_v4_rcv                          436217    15173852 us     34.785 us   
> >   release_sock                         43364    13536313 us     312.155 us  
> >   xs_tcp_data_ready                   512045    10092920 us     19.711 us   
> >   _spin_unlock_bh                     518900    9851221 us     18.984 us   
> >   local_bh_enable_ip                  511352    9403704 us     18.389 us   
> >   tcp_read_sock                      1024090    8832051 us     8.624 us    
> >   __tcp_ack_snd_check                 512045    6644838 us     12.977 us   
> >   add_to_page_cache_lru               174072    6287717 us     36.121 us   
> >   tcp_transmit_skb                    296572    5962431 us     20.104 us   
> >   tcp_send_ack                        253210    5775135 us     22.807 us   
> >   __kfree_skb                         802932    5216451 us     6.496 us    
> >   add_to_page_cache_locked            174072    4716425 us     27.094 us   
> > [...]
> > 
> > Detailed time before patch (100 runs * 2 CPU):
> > 
> > Total          add_to_page_cache_lru    percent
> > 1927694859.404 6703561                  0.34775011030908648%
> > 1994166534.446 7311783                  0.36665859514242066%
> > 2132812997.930 6249683                  0.29302536162643533%
> > 1972582396.980 7908593                  0.40092586307715006%
> > 2415371209.622 7670327                  0.31756307144194151%
> > 2163473353.153 7406991                  0.34236571433640306%
> > 1833544521.635 7952113                  0.43370165851816772%
> > 2087748556.683 7995535                  0.38297404035585819%
> > 2185868844.795 7117368                  0.32560819085499598%
> > 1980423680.193 6514699                  0.32895481230385598%
> > 1958021484.352 6745228                  0.34449203207963308%
> > 2008592063.702 7398967                  0.36836583862444905%
> > 2448117568.931 6224454                  0.25425470079519025%
> > 2213021186.789 6938228                  0.31351837214297412%
> > 1828902235.789 7479842                  0.40897987074596959%
> > 1866644864.837 7720792                  0.41361868802366963%
> > 2054526163.572 8475856                  0.41254553727677401%
> > 1902862587.026 8334661                  0.43800645705196778%
> > 2148449373.925 8672498                  0.40366313050031155%
> > 2104880443.231 7741619                  0.36779376353160392%
> > 2270646549.540 6486688                  0.2856758134071597%
> > 2250814274.826 7512331                  0.33376058984612328%
> > 2214008898.106 6391259                  0.28867359139646992%
> > 2446226035.589 7738434                  0.31634173978271579%
> > 1920377000.358 6464992                  0.33665223020244384%
> > 2030446733.714 6022617                  0.2966153654759367%
> > 2157128575.464 7375670                  0.34192074055731642%
> > 2185670134.683 7943199                  0.36342167438509865%
> > 2224381465.969 8492920                  0.38181041021667828%
> > 2479045291.455 8161934                  0.32923698603382928%
> > 1971641972.432 8114434                  0.41155717485517562%
> > 2208169216.013 8138519                  0.36856410011433138%
> > 1971312194.985 8122576                  0.41203904793283169%
> > 2279129743.345 7365286                  0.3231622079219687%
> > 2360162707.877 7412468                  0.3140659741491984%
> > 1885022652.013 8252339                  0.43778460652382062%
> > 2065345722.062 7985361                  0.3866355600759942%
> > 1975982196.916 7925371                  0.4010851419799969%
> > 2169738273.075 7203856                  0.33201497569522709%
> > 2034570957.887 7396992                  0.36356520136717829%
> > 1789538123.758 7380292                  0.41241323121418116%
> > 1912812047.546 8697404                  0.45469203370807615%
> > 2221047646.893 7451321                  0.33548676951723994%
> > 2163981380.559 7982481                  0.36887937538251664%
> > 1969189605.396 7353112                  0.37340802428831149%
> > 2278909389.270 7088803                  0.31106120468750831%
> > 2104996788.904 7342692                  0.34882200479854836%
> > 2374705789.293 7327329                  0.30855733931492624%
> > 2137944282.456 8112283                  0.3794431438915179%
> > 2268117031.230 6889022                  0.30373309247909852%
> > 1899091967.945 8173918                  0.43041190937398177%
> > 2098779842.987 7858621                  0.37443760603377763%
> > 2124662819.215 8156209                  0.38388251190904155%
> > 2317714239.959 7048899                  0.30413149638864423%
> > 2218944220.453 6659501                  0.30012025262358577%
> > 1945126557.801 7704643                  0.3960998305791596%
> > 2092060468.851 7616315                  0.36405807161888715%
> > 1933379809.531 7300893                  0.37762331870896354%
> > 1903832170.769 7508856                  0.39440745435912067%
> > 2435478683.656 6790800                  0.27882814354203433%
> > 2126189870.763 7104836                  0.33415811530747125%
> > 2161363441.772 7011298                  0.32439236569356278%
> > 2064449342.765 6822211                  0.33046153561039859%
> > 2116816508.947 8156178                  0.38530396779913867%
> > 1982774633.856 7131335                  0.35966442571092105%
> > 2323253766.182 7275361                  0.3131539526978242%
> > 1905927501.820 7477458                  0.39232646534874271%
> > 2252162684.001 8064426                  0.35807475442552977%
> > 2027146552.281 7875866                  0.38851981328818402%
> > 1845397260.011 7598767                  0.41176862915439172%
> > 2177206310.501 7366288                  0.33833670077434846%
> > 2041629016.560 6600368                  0.32328929234759562%
> > 2189308825.112 8348863                  0.38134697600613249%
> > 1930990433.231 7344038                  0.38032492930126544%
> > 2102320863.469 7299411                  0.34720727586536809%
> > 1895798071.683 8051595                  0.42470741585110772%
> > 2019648719.623 7992832                  0.39575357448754711%
> > 1961118039.267 7837733                  0.39965636147681766%
> > 2142238585.905 8084509                  0.37738602288244455%
> > 2263212432.641 7757018                  0.34274369865263332%
> > 2200111036.549 7069702                  0.32133387281622078%
> > 1941699880.568 7786856                  0.4010329339734075%
> > 1939777157.562 7729686                  0.39848319534368681%
> > 1983015138.927 8136252                  0.41029701893261827%
> > 2040218650.019 7968023                  0.39054750332400873%
> > 1850721920.862 7835912                  0.42339758943095634%
> > 2167986192.252 8656589                  0.39929170356052646%
> > 2128868496.040 8248906                  0.38747841942065214%
> > 1984840247.084 7754853                  0.39070413910605312%
> > 2130780080.168 7053725                  0.33103955990821227%
> > 2062729676.752 7968701                  0.38631824081513272%
> > 1995756518.448 7903687                  0.39602461156666058%
> > 1921150053.008 8307746                  0.43243608103345821%
> > 2253731991.230 8033382                  0.35644797301810893%
> > 2143807312.838 6755593                  0.31512127790332323%
> > 1948787937.040 7152297                  0.36701258582622248%
> > 2276500726.783 7277806                  0.31969267193182554%
> > 2282733838.581 6336839                  0.27759867983291148%
> > 2003104438.909 7092547                  0.35407774363791977%
> > 2239684291.880 6982252                  0.3117516171950766%
> > 1801833773.742 2645976                  0.14684906224756283%
> > 2016683111.150 2261656                  0.11214731692329717%
> > 1962727948.601 2767184                  0.14098663046870061%
> > 1845203884.375 2266317                  0.1228220371304734%
> > 1516914718.568 1975612                  0.13023883121557553%
> > 1557730294.184 2109274                  0.13540688063108641%
> > 2171303320.533 1865384                  0.085910797554627022%
> > 1617322895.641 2073254                  0.12819048104666192%
> > 1867107731.934 1901409                  0.10183713384500154%
> > 1772588329.145 2045529                  0.11539786008783279%
> > 2030802387.562 2161163                  0.10641916777508319%
> > 1853583237.019 1803299                  0.097287187539531861%
> > 1453728764.040 3231016                  0.22225714176699726%
> > 1989811798.738 2418414                  0.1215398361560542%
> > 1956758511.567 2254818                  0.11523230826241863%
> > 2001579398.410 1952360                  0.097540971971978793%
> > 1636515132.388 1532408                  0.093638486419854422%
> > 1926271619.408 1918912                  0.09961793449408439%
> > 1642519133.238 1384193                  0.084272564744573439%
> > 1677033195.955 1340416                  0.07992781557533149%
> > 1693983317.244 3135804                  0.18511421972571418%
> > 1487434932.071 2467493                  0.1658891388656871%
> > 1720442169.343 3034092                  0.17635536108479918%
> > 1640362983.552 1944463                  0.11853858075908964%
> > 1821382248.526 2659828                  0.1460334864991977%
> > 1947322513.836 3540608                  0.18181929160904178%
> > 1673422299.278 2769832                  0.16551900863249205%
> > 1836039325.613 2175872                  0.11850900847526999%
> > 1582929718.539 2072026                  0.13089816785500888%
> > 1476014468.174 1996943                  0.13529291501257767%
> > 1847131237.607 2120975                  0.11482535495137695%
> > 1734796451.802 1842211                  0.10619176665287874%
> > 1804827020.363 1988047                  0.11015166426310204%
> > 1647250758.752 2634152                  0.15991202225917941%
> > 1506833507.228 2271966                  0.15077750720977479%
> > 1919459367.994 1608374                  0.083793073550751385%
> > 1913364635.281 2126200                  0.11112361756846952%
> > 1733934046.047 2031440                  0.11715785872197679%
> > 1762796865.803 2285487                  0.12965118354456009%
> > 1711072016.023 2270996                  0.13272357789349024%
> > 2082560830.257 2273483                  0.10916766353083858%
> > 1857948273.729 1266725                  0.06817870109255604%
> > 1738287034.188 2404600                  0.1383315846409251%
> > 1618942973.292 2016207                  0.12453848179100423%
> > 1820789056.854 2369799                  0.13015230902664757%
> > 1561747605.669 2487149                  0.15925422206327566%
> > 1884502059.843 2512148                  0.13330566485076115%
> > 1352203145.315 2618029                  0.19361210695824271%
> > 1911003204.592 1648292                  0.086252707271200574%
> > 1525244016.511 2555354                  0.16753738892517536%
> > 2190575134.148 1939935                  0.088558249829422828%
> > 1643983673.168 1747429                  0.10629235730989092%
> > 1781900292.843 1686195                  0.094629032094141294%
> > 1566821289.746 2291057                  0.14622324926229507%
> > 1777199439.264 2456866                  0.13824368530171682%
> > 1633063412.403 1953080                  0.11959609070698031%
> > 1913601422.874 1821650                  0.095194849785599556%
> > 2094732749.709 2322465                  0.11087166132876074%
> > 1951529182.943 2270128                  0.11632559839953495%
> > 1450396654.276 2867633                  0.19771370759479912%
> > 1643954213.946 2460211                  0.14965203891504558%
> > 1845971802.604 2593942                  0.14051904781757141%
> > 1671974226.831 2552423                  0.15265923116756236%
> > 1792483105.554 1547320                  0.086322710390164162%
> > 1774273751.516 2101959                  0.1184686973024323%
> > 1797523443.598 1781759                  0.099122990932099045%
> > 1877038808.523 2131598                  0.11356174365288201%
> > 1485614991.186 1796722                  0.12094129439052281%
> > 2008042349.453 1972441                  0.09822706182154485%
> > 2178564679.489 1948988                  0.089462021410222761%
> > 1462911389.586 2076158                  0.14191960051575969%
> > 1976013519.965 2692701                  0.13626936115536772%
> > 1473561005.083 1369873                  0.092963439944099252%
> > 2190713955.687 2450228                  0.11184609444967988%
> > 1648795783.114 2557892                  0.15513698095279177%
> > 2116292380.702 1948901                  0.092090347145394241%
> > 1704227210.803 1980402                  0.11620527987385389%
> > 1984573918.515 2325530                  0.11718031655581404%
> > 1856414008.018 1798348                  0.096872141248277158%
> > 1401593348.875 2285205                  0.16304336788086488%
> > 1832475317.969 2373585                  0.12952889333487622%
> > 1840826298.949 2112188                  0.11474129857911804%
> > 2014475390.352 2104652                  0.10447643143618861%
> > 1730176303.748 1975645                  0.11418749613667999%
> > 2016553863.650 2009045                  0.099627638825555156%
> > 1891795883.646 2160557                  0.11420666567029553%
> > 1881160108.475 1492908                  0.079361027978115894%
> > 1562754135.542 1978972                  0.12663361145505117%
> > 2061996559.038 2071212                  0.10044691834821971%
> > 1519528906.706 2460493                  0.16192472477103448%
> > 1796244525.568 2099254                  0.1168690548596764%
> > 1998463642.677 1988093                  0.099481069234609226%
> > 1872169708.204 1762657                  0.094150492462082555%
> > 1664425938.102 1710870                  0.10279039522485223%
> > 1791543540.761 1992110                  0.11119517637588673%
> > 1883913354.514 1770358                  0.093972368514618113%
> > 1813806740.237 1877185                  0.10349421238531283%
> > 1547586337.236 2702003                  0.17459465329900728%
> > 2020313568.921 2100334                  0.10396079263684484%
> > 1727289498.314 2059429                  0.1192289423405978%
> > 
> > Detailed time after patch:
> > 
> > Total          add_to_page_cache_lru    percent
> > 2151489401.227 6287717                  0.29224949918015392%
> > 1919030541.464 6872841                  0.3581413037208262%
> > 2277104485.950 8538296                  0.37496285535785828%
> > 2142847301.255 7992466                  0.37298345968558083%
> > 1909650847.324 6960671                  0.36449966808089612%
> > 2109123648.836 6825371                  0.32361170497361974%
> > 2128503623.032 7728883                  0.36311345286743746%
> > 1925232499.136 7526064                  0.39091714914315673%
> > 1935780958.829 7499162                  0.38739723964101919%
> > 1722848267.832 7353451                  0.42681942091473007%
> > 1855159456.452 7600681                  0.40970499724785564%
> > 1862769335.900 8607712                  0.46209221045831578%
> > 2272365556.764 6895008                  0.30342864419310028%
> > 2049429274.204 7252089                  0.35385895435775488%
> > 2001218334.232 8155639                  0.4075336938750293%
> > 1947131845.644 7229822                  0.37130623774523025%
> > 1982915408.746 7513518                  0.37891268416495716%
> > 2038654062.353 7531559                  0.36943781385386831%
> > 2134879530.359 6738727                  0.31564905205057731%
> > 2029761134.284 7472398                  0.36814174208907074%
> > 1956557094.935 7280443                  0.37210480690019776%
> > 1740007857.373 6663035                  0.38293131676196024%
> > 2054278081.418 7765213                  0.37800203732105886%
> > 2367585922.353 7629987                  0.32226864199365651%
> > 2023763123.141 7730698                  0.38199618876350999%
> > 1826074987.177 7579606                  0.41507638258150648%
> > 2077873224.783 7414675                  0.35683962387909118%
> > 2103719398.720 7093390                  0.33718327664402131%
> > 2164758918.301 7181094                  0.33172719323572736%
> > 1953199921.042 7750654                  0.39681826302067191%
> > 2179298642.359 6395109                  0.29344803303679207%
> > 1971922836.328 7215479                  0.36591081897688477%
> > 2225552712.785 8153246                  0.36634701812105075%
> > 2124780733.448 7080842                  0.33325048032177529%
> > 2139511762.563 8708060                  0.40701155059639843%
> > 1934365642.348 6842114                  0.35371358186939283%
> > 1950765025.910 6818753                  0.34954250816646476%
> > 2013188877.577 6495929                  0.32266863146086228%
> > 1921391492.273 6536576                  0.34020011154870117%
> > 2164698840.945 6712421                  0.31008567441509277%
> > 1992440404.239 7467130                  0.3747730664422067%
> > 2073623249.374 7113197                  0.34303227465005426%
> > 1938481781.041 6902169                  0.35606055561138211%
> > 1963963682.421 7776006                  0.39593430721765843%
> > 1807704433.895 7206899                  0.39867684477995868%
> > 1902413226.299 7687850                  0.40411041585093088%
> > 1718395340.661 7096452                  0.41296969516166576%
> > 2014139552.830 7653595                  0.37999328245384933%
> > 1976902280.499 7781174                  0.3936043818026207%
> > 1920129734.441 6808420                  0.3545812492707483%
> > 1786139514.638 7179970                  0.4019825966089316%
> > 2011990483.317 6739406                  0.33496212113733792%
> > 2186643920.919 7830962                  0.35812698743876015%
> > 1822975832.465 8627042                  0.47323951565143058%
> > 1872249428.425 7264440                  0.38800599373722838%
> > 1971668701.573 6818269                  0.34581210294408871%
> > 2054585589.388 7261214                  0.35341501651254642%
> > 2252858576.565 7228902                  0.32087686618225808%
> > 2196771348.820 6634658                  0.30201859668116204%
> > 2224872312.502 6948714                  0.31231967609798522%
> > 1924947573.139 6935037                  0.360271474235066%
> > 2070207954.999 7564561                  0.36540102078796494%
> > 2070702822.858 6994172                  0.33776802362912656%
> > 2099826181.510 7199665                  0.34286957003377627%
> > 2369037401.585 7009501                  0.29587971027009985%
> > 2109093017.803 7056062                  0.33455432929886414%
> > 2141046841.968 7831694                  0.36578807368835009%
> > 2284785719.942 7358167                  0.3220506385249462%
> > 2088247084.213 6857813                  0.32840045853982414%
> > 1880913709.753 6697468                  0.35607523967059107%
> > 1984586172.943 7361786                  0.37094816543455983%
> > 2130320004.839 7840067                  0.36802297223850727%
> > 2314059227.236 6669054                  0.28819720435443524%
> > 1935408704.712 8309322                  0.42933164348025787%
> > 2239440115.241 7040432                  0.31438357972087749%
> > 2387500130.769 6555638                  0.27458168129559291%
> > 2497500671.323 6969731                  0.27906823329532587%
> > 2229438175.095 6759889                  0.30321042653322067%
> > 1979317661.013 7870099                  0.39761677243723181%
> > 2228213884.202 5883791                  0.26405862748257614%
> > 2264526373.743 6563122                  0.28982316461838858%
> > 2256376049.198 6670128                  0.29561242694323103%
> > 2085817937.654 6878115                  0.32975624937505721%
> > 2177225113.484 7421724                  0.34087995559282069%
> > 1843473456.551 7156295                  0.38819625932607071%
> > 2403022978.094 6958096                  0.28955594946157931%
> > 1935191866.634 6872608                  0.35513832599730566%
> > 1917810458.850 7816937                  0.40759695328220108%
> > 2016838266.381 7257719                  0.35985627211562177%
> > 1904575178.166 7484129                  0.39295529448235278%
> > 2087232238.930 7372521                  0.35321996577532039%
> > 1976631116.176 6438233                  0.32571747693901715%
> > 2004191806.805 6735567                  0.33607397141980955%
> > 2110550986.328 7174599                  0.33993961986592813%
> > 2152621184.889 7337361                  0.34085704681840484%
> > 2059135774.936 6363510                  0.30903790208772336%
> > 2353978555.486 7265456                  0.30864580236160993%
> > 1945677192.325 5927833                  0.30466682877217138%
> > 2255676557.335 6379740                  0.28283044301074045%
> > 2034627875.756 7319043                  0.35972391252530572%
> > 1712556465.847 3079747                  0.17983331127577226%
> > 1837380343.831 3111263                  0.1693314620702272%
> > 1680363376.083 1611968                  0.095929727042585719%
> > 1769978476.954 2017096                  0.11396161175198416%
> > 1829700109.543 2612874                  0.14280340184559598%
> > 1783959966.875 3184558                  0.17851062014460206%
> > 1772032973.967 2133741                  0.12041203698502599%
> > 1667688494.152 1985120                  0.11903422053705601%
> > 2001252356.720 2633874                  0.13161128785961057%
> > 2077009766.270 2858188                  0.13761071548223289%
> > 2076612330.379 2340135                  0.11269002720276176%
> > 1834812072.536 1713713                  0.093399919569494547%
> > 1787949752.795 2522212                  0.14106727529994451%
> > 1907464219.876 2476303                  0.12982172741153589%
> > 1609254879.065 1903707                  0.11829741980375917%
> > 2069557067.911 2484547                  0.12005211349440528%
> > 1725151836.363 2491288                  0.1444097816486799%
> > 2077004221.561 2508662                  0.12078271069254648%
> > 1650748196.246 3195100                  0.19355465644403197%
> > 1843881436.725 2731880                  0.14815920078094685%
> > 1677080490.297 2752567                  0.16412849686853959%
> > 2103777441.563 3252694                  0.15461207710181613%
> > 1598451912.768 2345538                  0.1467381021139566%
> > 1825835416.807 2381575                  0.13043755083713246%
> > 1969692431.120 2198750                  0.11162910336969484%
> > 1867823718.088 1813348                  0.097083465770326324%
> > 1929972836.031 2140104                  0.11088777831718792%
> > 1627140530.277 2519227                  0.15482541016731566%
> > 1779407314.725 2828755                  0.15897175293095681%
> > 1724839045.836 1937500                  0.11232932166496305%
> > 1780135194.997 2889504                  0.16231935687361485%
> > 1758590417.053 2193512                  0.12473126082853507%
> > 1729351400.188 1523643                  0.088104881392778986%
> > 1484255938.207 2153531                  0.14509162096406991%
> > 1504352024.282 1910774                  0.12701641432044322%
> > 1916441202.247 2423510                  0.12645887581411155%
> > 1651813655.113 2892863                  0.1751325272705837%
> > 1772411947.023 2693122                  0.15194673024651262%
> > 1738795901.180 3064160                  0.17622309771495132%
> > 1717902110.376 3266140                  0.19012375503078779%
> > 1858583685.387 2246750                  0.12088505982619635%
> > 1641867344.242 2901893                  0.17674345069209688%
> > 2037933222.333 3290649                  0.16146991294606342%
> > 1713754879.753 2136278                  0.1246548164640615%
> > 2265307843.106 2195967                  0.096939010151886218%
> > 2066343912.900 2117667                  0.10248376307446183%
> > 2033259596.459 2652081                  0.13043494321230309%
> > 2029016228.457 2447926                  0.12064595470789147%
> > 1649943910.454 2243384                  0.13596728869302646%
> > 2064977308.315 2517573                  0.12191770775700743%
> > 1962826877.902 2403546                  0.12245328546596376%
> > 1991037543.226 3214700                  0.16145853255942866%
> > 1469646744.644 1960481                  0.133398111290676%
> > 2195532272.023 1693642                  0.077140382839349028%
> > 1902754342.931 2542547                  0.13362455376575119%
> > 1922726134.774 2726990                  0.14182935108023245%
> > 1629134454.130 2814497                  0.17276026499009955%
> > 1442857977.322 2886065                  0.2000241912483062%
> > 1782430811.270 2884583                  0.16183421997427802%
> > 1574026949.337 2873023                  0.18252692568003068%
> > 2064769936.712 2717133                  0.13159495165484839%
> > 1621381781.294 2143854                  0.13222388611576869%
> > 1783777994.311 2515565                  0.14102455619605617%
> > 1561198792.593 2402227                  0.15387066729728466%
> > 1658682002.165 2924639                  0.17632306832669586%
> > 1675144757.604 2216513                  0.13231769910860314%
> > 1712859849.041 2274046                  0.13276310967725691%
> > 1448178253.374 2507727                  0.17316424923226392%
> > 1621787692.726 2822681                  0.17404750403892047%
> > 1924315582.555 2275728                  0.11826168330344308%
> > 2044659318.750 2606738                  0.12749008972280165%
> > 1559320878.499 2049522                  0.13143683434629996%
> > 1641314354.590 2786145                  0.16975084585158451%
> > 1769603624.855 2008994                  0.11352790940200608%
> > 1707747444.550 2813289                  0.16473682973311757%
> > 1366611645.499 2930513                  0.21443641356721807%
> > 1435165128.768 3161655                  0.22029903992400404%
> > 1440555681.860 2831258                  0.19653929630435177%
> > 1627011278.312 1956565                  0.12025515901954331%
> > 1668464384.654 3863649                  0.23156916237089648%
> > 1589045506.115 2743558                  0.17265446391825656%
> > 1766150748.153 3207045                  0.18158387687765917%
> > 1668645748.936 2997211                  0.17961937109246526%
> > 1808149919.182 2420007                  0.13383884678626659%
> > 1831096162.185 2226869                  0.12161398434382248%
> > 1473136553.216 2774496                  0.18833936296964501%
> > 1873520917.567 2427200                  0.12955286366121929%
> > 1971938578.205 2207736                  0.11195764535473715%
> > 1670588149.850 2437810                  0.14592525394238479%
> > 1912140400.200 2407058                  0.12588291109524352%
> > 1925513187.452 2415130                  0.12542786077699639%
> > 1658671061.956 3111210                  0.18757245311382492%
> > 1917423750.996 2888924                  0.15066695603928745%
> > 1553962205.772 3386946                  0.21795549386076499%
> > 1834101490.364 2367281                  0.12907033838842713%
> > 1626846627.678 3362957                  0.20671629044711806%
> > 1519340210.104 2320735                  0.15274623712098975%
> > 1725615314.262 3813557                  0.22099693764197714%
> > 1725823077.103 3137784                  0.1818137699993643%
> > 1633124107.941 2007344                  0.12291435722731486%
> > 
> > Thanks,
> > Fengguang
--
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