PostgreSQL DBA(10) - 統計資訊

husthxd發表於2018-10-06

本節簡單介紹了PostgreSQL資料庫中統計資訊相關的資料字典表及其結構,包括pg_class、pg_statistic和pg_statistic_ext。

一、pg_class

在pg_class資料字典表中,儲存了Relation(包括Index)的兩個統計資訊:頁面佔用總數relpages和元組總數reltuples,在最佳化器執行物理最佳化時用於估算訪問路徑的啟動成本和總成本.
測試指令碼如下,在t_grxx表中插入10w資料,建立2個索引:

drop table if exists t_grxx;
create table t_grxx(dwbh varchar(10),grbh varchar(10),xm varchar(20),xb varchar(10),nl int);

insert into t_grxx(dwbh,grbh,xm,xb,nl) 
select generate_series(1,100000)/10||'',generate_series(1,100000),'XM'||generate_series(1,100000),
(case when (floor(random()*2)=0) then '男' else '女' end),floor(random() * 100 + 1)::int;

create index idx_t_grxx_grbh on t_grxx(grbh);
create index idx_t_grxx_dwbh on t_grxx(dwbh);

基礎關係t_grxx中的統計資訊

testdb=# select relpages,reltuples from pg_class where relname = 't_grxx';
 relpages | reltuples 
----------+-----------
      726 |    100000 --> 頁面數726,元組數10,000
(1 row)

索引idx_t_grxx_grbh的統計資訊

testdb=# select relpages,reltuples from pg_class where relname = 'idx_t_grxx_grbh';
 relpages | reltuples 
----------+-----------
      276 |    100000 --> 頁面數276,元組數10,000
(1 row)

二、pg_statistic

pg_statistic是PG中儲存統計資訊的主要資料字典表.透過命令ANALYZE生成統計資料,這些統計資料在計劃階段提供給最佳化器使用,是成本估算的基礎.
pg_statistic的表結構如下:

testdb=# \d pg_statistic
             Table "pg_catalog.pg_statistic"
   Column    |   Type   | Collation | Nullable | Default 
-------------+----------+-----------+----------+---------
 starelid    | oid      |           | not null | 
 staattnum   | smallint |           | not null | 
 stainherit  | boolean  |           | not null | 
 stanullfrac | real     |           | not null | 
 stawidth    | integer  |           | not null | 
 stadistinct | real     |           | not null | 
 stakind1    | smallint |           | not null | 
 stakind2    | smallint |           | not null | 
 stakind3    | smallint |           | not null | 
 stakind4    | smallint |           | not null | 
 stakind5    | smallint |           | not null | 
 staop1      | oid      |           | not null | 
 staop2      | oid      |           | not null | 
 staop3      | oid      |           | not null | 
 staop4      | oid      |           | not null | 
 staop5      | oid      |           | not null | 
 stanumbers1 | real[]   |           |          | 
 stanumbers2 | real[]   |           |          | 
 stanumbers3 | real[]   |           |          | 
 stanumbers4 | real[]   |           |          | 
 stanumbers5 | real[]   |           |          | 
 stavalues1  | anyarray |           |          | 
 stavalues2  | anyarray |           |          | 
 stavalues3  | anyarray |           |          | 
 stavalues4  | anyarray |           |          | 
 stavalues5  | anyarray |           |          | 
Indexes:
    "pg_statistic_relid_att_inh_index" UNIQUE, btree (starelid, staattnum, stainherit)

其中:
starelid:資料列所屬的關係或索引Oid
staattnum:資料列編號
stainherit:是否繼承表(分割槽表)
stanullfrac:NULL值所佔的比例
stawidth:平均行大小,以位元組為單位
stadistinct:非NULL值的唯一值資訊.>0,表示多少個唯一值;=0,表示未知;<0,根據重複值出現次數求得:stadistinct = (-1)x(1-stanullfrac)/times(重複次數)
stakind
N:在N號slot槽中儲存的是哪種型別的統計資訊
staop
N:在N號槽中所使用的運算子,如"=","<",">"等
stanumbers
N:在N號槽中儲存的數值型別統計資訊
stavalues
N*:在N號槽中儲存的資料值(使用anyarray型別)

統計資訊型別,在src/include/catalog/pg_statistic.h檔案中有相關解釋,定義如下:

#define STATISTIC_KIND_MCV  1
#define STATISTIC_KIND_HISTOGRAM  2
#define STATISTIC_KIND_CORRELATION  3
#define STATISTIC_KIND_MCELEM  4
#define STATISTIC_KIND_DECHIST  5
#define STATISTIC_KIND_RANGE_LENGTH_HISTOGRAM  6
#define STATISTIC_KIND_BOUNDS_HISTOGRAM  7

MCV=most common values,最常見值,即高頻值
HISTOGRAM=HISTOGRAM,資料分佈直方圖
CORRELATION=CORRELATION,相關係數,該列未排序的資料分佈與排序後的資料分佈的相關性
MCELEM=most common elements,與MCV類似,儲存的是最常見非NULL值
DECHIST=distinct elements count histogram,描述陣列型別列的每行中不同值的分佈。
RANGE_LENGTH_HISTOGRAM=length histogram,以行為單位的距離型別列的長度分佈。
BOUNDS_HISTOGRAM=與HISTOGRAM類似,面向range-type column

仍以t_grxx表為例說明該表的統計資訊
表結構:

testdb=# \d t_grxx
                      Table "public.t_grxx"
 Column |         Type          | Collation | Nullable | Default 
--------+-----------------------+-----------+----------+---------
 dwbh   | character varying(10) |           |          | 
 grbh   | character varying(10) |           |          | 
 xm     | character varying(20) |           |          | 
 xb     | character varying(10) |           |          | 
 nl     | integer               |           |          | 
Indexes:
    "idx_t_grxx_dwbh" btree (dwbh)
    "idx_t_grxx_grbh" btree (grbh)

資料列資訊:

testdb=# select attrelid,attname,attnum from pg_attribute where attrelid = 16742 order by attnum;
 attrelid | attname  | attnum 
----------+----------+--------
    16742 | tableoid |     -7
    16742 | cmax     |     -6
    16742 | xmax     |     -5
    16742 | cmin     |     -4
    16742 | xmin     |     -3
    16742 | ctid     |     -1
    16742 | dwbh     |      1
    16742 | grbh     |      2
    16742 | xm       |      3
    16742 | xb       |      4
    16742 | nl       |      5
(11 rows)    

dwbh/grbh/xm/xb/nl這5列的編號分別是1/2/3/4/5.
查詢常規的統計資訊

testdb=# select starelid,staattnum,stainherit,stanullfrac,stawidth,stadistinct from pg_statistic where starelid = 16742;
 starelid | staattnum | stainherit | stanullfrac | stawidth | stadistinct 
----------+-----------+------------+-------------+----------+-------------
    16742 |         1 | f          |           0 |        4 |        9984
    16742 |         2 | f          |           0 |        5 |          -1
    16742 |         3 | f          |           0 |        7 |          -1
    16742 |         4 | f          |           0 |        4 |           2
    16742 |         5 | f          |           0 |        4 |         100
(5 rows)

stanullfrac為0表示沒有NULL值
stawidth表示各列的平均行大小,比如dwbh平均行大小為4個位元組
stadistinct表示唯一值資訊,比如dwbh,10000行中有9984個唯一值,而xb只有2個,grbh和xm則不存在重複值.

查詢其他統計資訊

testdb=# select starelid,staattnum,stakind1,stakind2,stakind3,stakind4,stakind5 from pg_statistic where starelid = 16742 order by staattnum;
 starelid | staattnum | stakind1 | stakind2 | stakind3 | stakind4 | stakind5 
----------+-----------+----------+----------+----------+----------+----------
    16742 |         1 |        1 |        2 |        3 |        0 |        0
    16742 |         2 |        2 |        3 |        0 |        0 |        0
    16742 |         3 |        2 |        3 |        0 |        0 |        0
    16742 |         4 |        1 |        3 |        0 |        0 |        0
    16742 |         5 |        1 |        3 |        0 |        0 |        0
(5 rows)

第1列(dwbh),在第1/2/3個槽中分別儲存了型別為第1/2/3種型別的統計資訊,即STATISTIC_KIND_MCV/STATISTIC_KIND_HISTOGRAM/STATISTIC_KIND_CORRELATION,其他槽沒有內容
第2列(grbh),在第1/2個槽中分別儲存了型別為第2/3種型別的統計資訊,即STATISTIC_KIND_HISTOGRAM/STATISTIC_KIND_CORRELATION,其他槽沒有內容
第5列(nl),在第1/2個槽中分別儲存了型別為第1/3種型別的統計資訊,即STATISTIC_KIND_MCV/STATISTIC_KIND_CORRELATION,其他槽沒有內容
第一列統計資訊

testdb=# \x
Expanded display is on.
testdb=# select staattnum,stakind1,staop1,stanumbers1,stavalues1,
testdb-#                  stakind2,staop2,stanumbers2,stavalues2,
testdb-#                  stakind3,staop3,stanumbers3,stavalues3
testdb-# from pg_statistic 
testdb-# where starelid = 16742 
testdb-#       and staattnum = 1;
-[ RECORD 1 ]---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
staattnum   | 1         -->dwbh
stakind1    | 1         -->STATISTIC_KIND_MCV,高頻值統計資訊
staop1      | 98        -->"=",查詢pg_operator,select * from pg_operator where oid=98;
stanumbers1 | {0.0003}  -->高頻值比例,即3/10000
stavalues1  | {24}      -->表示'24'這個值
stakind2    | 2         -->STATISTIC_KIND_HISTOGRAM,直方圖
staop2      | 664       -->"<",左閉右開的區間
stanumbers2 |           -->無
stavalues2  | {0,1084,1172,1262,1356,1441,1533,1622,1703,1790,1885,198,207,2165,2259,2351,2447,2530,262,2708,2799,2895,2985,3087,3172,3262,3359,3459,3541,3629,3716,3805,3900,3995,4078,417,4257,4345,4432,4515,461,47,479,489,4985,5069,5154,5244,533,542,5510,5596,5686,5786,587,5963,6053,6145,6232,6323,6412,650,6599,6686,6779,6868,6957,7038,7127,7218,7305,7403,7495,7588,7679,7767,7857,7942,8037,8125,8209,8307,8392,8481,8575,8664,8755,8844,8935,9022,9115,9202,9296,9378,9464,9561,965,9731,982,9906,9999} 
                        -->剔除高頻值後的資料分佈,假定平均分佈,0為MIN值,9999為MAX值
                        -->[0,1084),[1084,1172),...[9906,9999)
stakind3    | 3         -->STATISTIC_KIND_CORRELATION,相關係數
staop3      | 664       -->"<"
stanumbers3 | {0.817163}-->未排序和已排序的資料分佈,有81.7%的相關性,值越高,順序掃描結果越近似於排序
stavalues3  |           -->無

第二列統計資訊

testdb=# \x
Expanded display is on.
testdb=# select staattnum,stakind1,staop1,stanumbers1,stavalues1,
                 stakind2,staop2,stanumbers2,stavalues2,
                 stakind3,staop3,stanumbers3,stavalues3
from pg_statistic 
where starelid = 16742 
      and staattnum = 2;
-[ RECORD 1 ]---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
staattnum   | 2         -->grbh
stakind1    | 2         -->STATISTIC_KIND_HISTOGRAM,直方圖
staop1      | 664       -->"<"
stanumbers1 |           -->NULL
stavalues1  | {1,1088,11753,12659,1358,14448,15354,16253,17071,17939,18872,19821,20730,21676,22630,23540,24479,25302,26198,27069,27974,2894,29836,30851,31725,32619,33587,34584,35427,36280,37164,3806,39000,39942,40786,41695,42571,43452,44330,4516,46102,46997,47900,48899,49852,50697,5157,52452,533,54204,5512,55963,5686,57860,5871,59633,60544,61468,62331,63252,64134,65016,65993,66870,67798,68687,69568,70391,71285,72205,73066,74045,74962,75881,7679,77675,78573,79434,8038,81276,82125,83078,83939,84822,85764,86654,87557,88450,89352,90249,91171,92030,92979,93797,94665,95628,96510,97328,98212,99074,99998}
                        -->參照第一列
stakind2    | 3         -->STATISTIC_KIND_CORRELATION,相關係數
staop2      | 664       -->"<"
stanumbers2 | {0.816172}-->未排序和已排序的資料分佈
stavalues2  |           -->NULL
stakind3    | 0         -->第3個槽無統計資訊
staop3      | 0
stanumbers3 | 
stavalues3  | 

第五列統計資訊

testdb=# select staattnum,stakind1,staop1,stanumbers1,stavalues1,
testdb-#                  stakind2,staop2,stanumbers2,stavalues2,
testdb-#                  stakind3,staop3,stanumbers3,stavalues3
testdb-# from pg_statistic 
testdb-# where starelid = 16742 
testdb-#       and staattnum = 5;
-[ RECORD 1 ]-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
staattnum   | 5             -->nl
stakind1    | 1             -->STATISTIC_KIND_MCV,高頻值統計資訊
staop1      | 96            -->"="
stanumbers1 | {0.0117667,0.0117333,0.0113,0.0112667,0.0112333,0.0110333,0.0109333,0.0109333,0.0109333,0.0108333,0.0108,0.0108,0.0107667,0.0107667,0.0107333,0.0107333,0.0107333,0.0107,0.0106333,0.0106333,0.0106333,0.0105667,0.0105333,0.0105333,0.0105,0.0104667,0.0104667,0.0104333,0.0104333,0.0103667,0.0103,0.0102667,0.0102333,0.0102333,0.0102333,0.0102333,0.0102,0.0102,0.0102,0.0101667,0.0101667,0.0101333,0.0101,0.0101,0.0100667,0.0100333,0.0100333,0.01,0.00996667,0.00996667,0.00996667,0.00996667,0.00993333,0.00993333,0.00993333,0.00993333,0.0099,0.00986667,0.00983333,0.00983333,0.0098,0.0098,0.0098,0.00973333,0.0097,0.00966667,0.00966667,0.00963333,0.00963333,0.00963333,0.00963333,0.0096,0.0096,0.00956667,0.00953333,0.0095,0.0095,0.0095,0.0095,0.00943333,0.0094,0.00936667,0.00936667,0.00933333,0.00933333,0.0093,0.00916667,0.00916667,0.00916667,0.00913333,0.0091,0.0091,0.0091,0.00906667,0.009,0.00896667,0.00893333,0.00876667,0.00876667,0.0079}
                            -->每個高頻值的出現頻率
stavalues1  | {73,40,7,51,15,8,14,74,100,53,77,89,33,42,26,29,78,11,16,38,58,18,27,95,49,34,92,65,87,30,32,28,23,62,82,96,1,50,60,36,70,52,9,37,84,54,61,5,59,72,80,93,35,66,79,81,55,68,88,98,13,47,56,22,24,39,43,3,21,75,85,25,44,71,86,4,20,83,97,91,99,63,94,17,46,57,48,67,69,90,2,6,45,19,10,64,76,31,41,12}
                            -->高頻值
stakind2    | 3             -->STATISTIC_KIND_CORRELATION,相關係數
staop2      | 97            -->"<",整型比較,664是字元型比較
stanumbers2 | {0.00562935}  -->0.5%的相關性,相關性較低
stavalues2  |               -->NULL
stakind3    | 0             -->無相關資訊
staop3      | 0
stanumbers3 | 
stavalues3  | 

三、pg_statistic_ext

pg_statistic_ext資料字典表用於儲存多列統計資訊,需使用CREATE STATISTICS命令建立統計資訊,在執行ANALYZE命令時統計.
仍以t_grxx為例,統計dwbh和grbh這兩列的資訊

testdb=# create statistics sta_t_grxx_dwbh_grbh on dwbh,grbh from t_grxx;
CREATE STATISTICS
testdb=# analyze t_grxx(dwbh,grbh);
ANALYZE

查詢多列統計資訊

testdb=# \x
Expanded display is on.
testdb=# select * from pg_statistic_ext;
-[ RECORD 1 ]---+-----------------------------------------
stxrelid        | 16742                 -->資料表Oid
stxname         | sta_t_grxx_dwbh_grbh  -->統計資訊名稱
stxnamespace    | 2200                  -->表空間
stxowner        | 10                    -->統計資訊的Owner
stxkeys         | 1 2                   -->列編號,1 2表示dwbh grbh
stxkind         | {d,f}                 -->STATS_EXT_NDISTINCT/STATS_EXT_DEPENDENCIES
stxndistinct    | {"1, 2": 100000}      -->STATS_EXT_NDISTINCT統計資訊
stxdependencies | {"1 => 2": 0.040900, "2 => 1": 1.000000} -->STATS_EXT_DEPENDENCIES統計資訊

四、參考資料

pg_statistic
pg_statistic.h
CREATE STATISTICS

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