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位图计算 pg_roaringbitmap 插件

最后更新时间:2024-01-22 16:22:57
    云数据库 PostgreSQL 提供 pg_roaringbitmap 插件,可以使用位图计算功能,提高查询性能。

    前提条件

    实例为云数据库 PostgreSQL 10、11、12、13、14、15 全新版本。

    背景信息

    Roaring Bitmap 算法是将32位的 INT 类型数据划分为216个数据块(Chunk),每一个数据块对应整数的高16位,并使用一个容器(Container)来存放一个数值的低16位。 Roaring Bitmap 将这些容器保存在一个动态数组中,作为一级索引。容器使用两种不同的结构:数组容器(Array Container)和位图容器(Bitmap Container)。数组容器存放稀疏的数据,位图容器存放稠密的数据。如果一个容器里面的整数数量小于4096,就用数组容器来存储值。若大于4096,就用位图容器来存储值。 采用这种存储结构,Roaring Bitmap 可以快速检索一个特定的值。在做位图计算(AND、OR、XOR)时,Roaring Bitmap 提供了相应的算法来高效地实现在两种容器之间的运算。使得 Roaring Bitmap 无论在存储和计算性能上都表现优秀。

    操作步骤

    1. 创建插件。示例如下:
    CREATE EXTENSION roaringbitmap;
    2. 创建带有 RoaringBitmap 数据类型的表。示例如下:
    CREATE TABLE t1 (id integer, bitmap roaringbitmap);
    3. 使用 rb_build 函数插入 roaringbitmap 的数据。示例如下:
    --数组位置对应的 BIT 值为1
    INSERT INTO t1 SELECT 1,RB_BUILD(ARRAY[1,2,3,4,5,6,7,8,9,200]);
    --将输入的多条记录的值对应位置的 BIT 值设置为1,最后聚合为一个 roaringbitmap
    INSERT INTO t1 SELECT 2,RB_BUILD_AGG(e) FROM GENERATE_SERIES(1,100) e;
    4. 进行 Bitmap 计算(OR、AND、XOR、ANDNOT)。示例如下:
    --数组位置对应的 BIT 值为1
    SELECT RB_OR(a.bitmap,b.bitmap) FROM (SELECT bitmap FROM t1 WHERE id = 1) AS a,(SELECT bitmap FROM t1 WHERE id = 2) AS b;
    5. 进行 Bitmap 聚合计算(OR、AND、XOR、BUILD),并生成新的 roaringbitmap 类型。示例如下:
    SELECT RB_OR_AGG(bitmap) FROM t1;
    SELECT RB_AND_AGG(bitmap) FROM t1;
    SELECT RB_XOR_AGG(bitmap) FROM t1;
    SELECT RB_BUILD_AGG(e) FROM GENERATE_SERIES(1,100) e;
    6. 统计基数(Cardinality),即统计 roaringbitmap 中包含多少个位置为1的 BIT 位。示例如下:
    SELECT RB_CARDINALITY(bitmap) FROM t1;
    7. 从 roaringbitmap 中返回位置为1的 BIT 下标(即位置值)。示例如下:
    SELECT RB_ITERATE(bitmap) FROM t1 WHERE id = 1;

    功能函数列表

    函数名
    输入
    输出
    描述
    示例
    结果
    rb_build
    integer[]
    roaringbitmap
    Create roaringbitmap from integer array
    rb_build('{1,2,3,4,5}')
    {1,2,3,4,5}
    rb_index
    roaringbitmap,integer
    bigint
    Return the 0-based index of element in this roaringbitmap, or -1 if do not exsits
    rb_index('{1,2,3}',3)
    2
    rb_cardinality
    roaringbitmap
    bigint
    Return cardinality of the roaringbitmap
    rb_cardinality('{1,2,3,4,5}')
    5
    rb_and_cardinality
    roaringbitmap,roaringbitmap
    bigint
    Return cardinality of the AND of two roaringbitmaps
    rb_or_cardinality('{1,2,3}','{3,4,5}')
    1
    rb_xor_cardinality
    roaringbitmap,roaringbitmap
    bigint
    Return cardinality of the XOR of two roaringbitmaps
    rb_xor_cardinality('{1,2,3}','{3,4,5}')
    4
    rb_andnot_cardinality
    roaringbitmap,roaringbitmap
    bigint
    Return cardinality of the ANDNOT of two roaringbitmaps
    rb_andnot_cardinality('{1,2,3}','{3,4,5}')
    2
    rb_is_empty
    roaringbitmap
    boolean
    Check if roaringbitmap is empty.
    rb_is_empty('{1,2,3,4,5}')
    t
    rb_fill
    roaringbitmap,range_start bigint,range_end bigint
    roaringbitmap
    Fill the specified range (not include the range_end)
    rb_fill('{1,2,3}',5,7)
    {1,2,3,5,6}
    rb_clear
    roaringbitmap,range_start bigint,range_end bigint
    roaringbitmap
    Clear the specified range (not include the range_end)
    rb_clear('{1,2,3}',2,3)
    {1,3}
    rb_flip
    roaringbitmap,range_start bigint,range_end bigint
    roaringbitmap
    Negative the specified range (not include the range_end)
    rb_flip('{1,2,3}',2,10)
    {1,4,5,6,7,8,9}
    rb_range
    roaringbitmap,range_start bigint,range_end bigint
    roaringbitmap
    Return new set with specified range (not include the range_end)
    rb_range('{1,2,3}',2,3)
    {2}
    rb_range_cardinality
    roaringbitmap,range_start bigint,range_end bigint
    bigint
    Return the cardinality of specified range (not include the range_end)
    rb_range_cardinality('{1,2,3}',2,3)
    1
    rb_min
    roaringbitmap
    integer
    Return the smallest offset in roaringbitmap. Return NULL if the bitmap is empty
    rb_min('{1,2,3}')
    1
    rb_max
    roaringbitmap
    integer
    Return the greatest offset in roaringbitmap. Return NULL if the bitmap is empty
    rb_max('{1,2,3}')
    3
    rb_rank
    roaringbitmap,integer
    bigint
    Return the number of elements that are smaller or equal to the specified offset
    rb_rank('{1,2,3}',3)
    3
    rb_jaccard_dist
    roaringbitmap,roaringbitmap
    double precision
    Return the jaccard distance(or the Jaccard similarity coefficient) of two bitmaps
    rb_jaccard_dist('{1,2,3}','{3,4}')
    0.25
    rb_select
    roaringbitmap,bitset_limit bigint,bitset_offset bigint=0,reverse boolean=false,range_start bigint=0,range_end bigint=4294967296
    roaringbitmap
    Return subset [bitset_offset,bitset_offset+bitset_limit) of bitmap between range [range_start,range_end)
    rb_select('{1,2,3,4,5,6,7,8,9}',5,2)
    {3,4,5,6,7}
    rb_to_array
    roaringbitmap
    integer[]
    Convert roaringbitmap to integer array
    rb_to_array(roaringbitmap('{1,2,3}'))
    {1,2,3}
    rb_iterate
    roaringbitmap
    SET of integer
    Return set of integer from a roaringbitmap data.
    SELECT rb_iterate(rb_build('{1,2,3}'))
    1
    2
    3

    聚合函数列表

    聚合函数名
    输入
    输出
    描述
    示例
    结果
    rb_build_agg
    integer
    roaringbitmap
    Build a roaringbitmap from a integer set
    select rb_build_agg(id) from (values (1),(2),(3)) t(id)
    {1,2,3}
    rb_or_agg
    roaringbitmap
    roaringbitmap
    AND Aggregate calculations from a roaringbitmap set
    select rb_or_agg(bitmap) from (values (roaringbitmap('{1,2,3}')), (roaringbitmap('{2,3,4}'))) t(bitmap)
    {1,2,3,4}
    rb_and_agg
    roaringbitmap
    roaringbitmap
    AND Aggregate calculations from a roaringbitmap set
    select rb_and_agg(bitmap) from (values (roaringbitmap('{1,2,3}')), (roaringbitmap('{2,3,4}'))) t(bitmap)
    {2,3}
    rb_xor_agg
    roaringbitmap
    roaringbitmap
    XOR Aggregate calculations from a roaringbitmap set
    select rb_xor_agg(bitmap) from (values (roaringbitmap('{1,2,3}')), (roaringbitmap('{2,3,4}'))) t(bitmap)
    {1,4}
    rb_or_cardinality_agg
    roaringbitmap
    bigint
    OR Aggregate calculations from a roaringbitmap set, return cardinality.
    select rb_or_cardinality_agg(bitmap) from (values (roaringbitmap('{1,2,3}')),(roaringbitmap('{2,3,4}')) ) t(bitmap)
    4
    rb_and_cardinality_agg
    roaringbitmap
    bigint
    AND Aggregate calculations from a roaringbitmap set, return cardinality
    select rb_and_cardinality_agg(bitmap) from (values (roaringbitmap('{1,2,3}')), (roaringbitmap('{2,3,4}'))) t(bitmap)
    2
    rb_xor_cardinality_agg
    roaringbitmap
    bigint
    XOR Aggregate calculations from a roaringbitmap set, return cardinality
    select rb_xor_cardinality_agg(bitmap) from (values (roaringbitmap('{1,2,3}')), (roaringbitmap('{2,3,4}')) ) t(bitmap)
    2
    
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