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MySQL 9.1 Reference Manual  / ...  / Functions and Operators  / Window Functions  /  Window Function Descriptions

14.20.1 Window Function Descriptions

This section describes nonaggregate window functions that, for each row from a query, perform a calculation using rows related to that row. Most aggregate functions also can be used as window functions; seeSection 14.19.1, “Aggregate Function Descriptions”.

For window function usage information and examples, and definitions of terms such as theOVER clause, window, partition, frame, and peer, seeSection 14.20.2, “Window Function Concepts and Syntax”.

Table 14.30 Window Functions

NameDescription
CUME_DIST() Cumulative distribution value
DENSE_RANK() Rank of current row within its partition, without gaps
FIRST_VALUE() Value of argument from first row of window frame
LAG() Value of argument from row lagging current row within partition
LAST_VALUE() Value of argument from last row of window frame
LEAD() Value of argument from row leading current row within partition
NTH_VALUE() Value of argument from N-th row of window frame
NTILE() Bucket number of current row within its partition.
PERCENT_RANK() Percentage rank value
RANK() Rank of current row within its partition, with gaps
ROW_NUMBER() Number of current row within its partition

In the following function descriptions,over_clause represents theOVER clause, described inSection 14.20.2, “Window Function Concepts and Syntax”. Some window functions permit anull_treatment clause that specifies how to handleNULL values when calculating results. This clause is optional. It is part of the SQL standard, but the MySQL implementation permits onlyRESPECT NULLS (which is also the default). This means thatNULL values are considered when calculating results.IGNORE NULLS is parsed, but produces an error.

  • CUME_DIST()over_clause

    Returns the cumulative distribution of a value within a group of values; that is, the percentage of partition values less than or equal to the value in the current row. This represents the number of rows preceding or peer with the current row in the window ordering of the window partition divided by the total number of rows in the window partition. Return values range from 0 to 1.

    This function should be used withORDER BY to sort partition rows into the desired order. WithoutORDER BY, all rows are peers and have valueN/N = 1, whereN is the partition size.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.

    The following query shows, for the set of values in theval column, theCUME_DIST() value for each row, as well as the percentage rank value returned by the similarPERCENT_RANK() function. For reference, the query also displays row numbers usingROW_NUMBER():

    mysql> SELECT         val,         ROW_NUMBER()   OVER w AS 'row_number',         CUME_DIST()    OVER w AS 'cume_dist',         PERCENT_RANK() OVER w AS 'percent_rank'       FROM numbers       WINDOW w AS (ORDER BY val);+------+------------+--------------------+--------------+| val  | row_number | cume_dist          | percent_rank |+------+------------+--------------------+--------------+|    1 |          1 | 0.2222222222222222 |            0 ||    1 |          2 | 0.2222222222222222 |            0 ||    2 |          3 | 0.3333333333333333 |         0.25 ||    3 |          4 | 0.6666666666666666 |        0.375 ||    3 |          5 | 0.6666666666666666 |        0.375 ||    3 |          6 | 0.6666666666666666 |        0.375 ||    4 |          7 | 0.8888888888888888 |         0.75 ||    4 |          8 | 0.8888888888888888 |         0.75 ||    5 |          9 |                  1 |            1 |+------+------------+--------------------+--------------+
  • DENSE_RANK()over_clause

    Returns the rank of the current row within its partition, without gaps. Peers are considered ties and receive the same rank. This function assigns consecutive ranks to peer groups; the result is that groups of size greater than one do not produce noncontiguous rank numbers. For an example, see theRANK() function description.

    This function should be used withORDER BY to sort partition rows into the desired order. WithoutORDER BY, all rows are peers.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.

  • FIRST_VALUE(expr) [null_treatment]over_clause

    Returns the value ofexpr from the first row of the window frame.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.null_treatment is as described in the section introduction.

    The following query demonstratesFIRST_VALUE(),LAST_VALUE(), and two instances ofNTH_VALUE():

    mysql> SELECT         time, subject, val,         FIRST_VALUE(val)  OVER w AS 'first',         LAST_VALUE(val)   OVER w AS 'last',         NTH_VALUE(val, 2) OVER w AS 'second',         NTH_VALUE(val, 4) OVER w AS 'fourth'       FROM observations       WINDOW w AS (PARTITION BY subject ORDER BY time                    ROWS UNBOUNDED PRECEDING);+----------+---------+------+-------+------+--------+--------+| time     | subject | val  | first | last | second | fourth |+----------+---------+------+-------+------+--------+--------+| 07:00:00 | st113   |   10 |    10 |   10 |   NULL |   NULL || 07:15:00 | st113   |    9 |    10 |    9 |      9 |   NULL || 07:30:00 | st113   |   25 |    10 |   25 |      9 |   NULL || 07:45:00 | st113   |   20 |    10 |   20 |      9 |     20 || 07:00:00 | xh458   |    0 |     0 |    0 |   NULL |   NULL || 07:15:00 | xh458   |   10 |     0 |   10 |     10 |   NULL || 07:30:00 | xh458   |    5 |     0 |    5 |     10 |   NULL || 07:45:00 | xh458   |   30 |     0 |   30 |     10 |     30 || 08:00:00 | xh458   |   25 |     0 |   25 |     10 |     30 |+----------+---------+------+-------+------+--------+--------+

    Each function uses the rows in the current frame, which, per the window definition shown, extends from the first partition row to the current row. For theNTH_VALUE() calls, the current frame does not always include the requested row; in such cases, the return value isNULL.

  • LAG(expr [,N[,default]]) [null_treatment]over_clause

    Returns the value ofexpr from the row that lags (precedes) the current row byN rows within its partition. If there is no such row, the return value isdefault. For example, ifN is 3, the return value isdefault for the first three rows. IfN ordefault are missing, the defaults are 1 andNULL, respectively.

    N must be a literal nonnegative integer. IfN is 0,expr is evaluated for the current row.

    N cannot beNULL, and must be an integer in the range0 to263, inclusive, in any of the following forms:

    • an unsigned integer constant literal

    • a positional parameter marker (?)

    • a user-defined variable

    • a local variable in a stored routine

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.null_treatment is as described in the section introduction.

    LAG() (and the similarLEAD() function) are often used to compute differences between rows. The following query shows a set of time-ordered observations and, for each one, theLAG() andLEAD() values from the adjoining rows, as well as the differences between the current and adjoining rows:

    mysql> SELECT         t, val,         LAG(val)        OVER w AS 'lag',         LEAD(val)       OVER w AS 'lead',         val - LAG(val)  OVER w AS 'lag diff',         val - LEAD(val) OVER w AS 'lead diff'       FROM series       WINDOW w AS (ORDER BY t);+----------+------+------+------+----------+-----------+| t        | val  | lag  | lead | lag diff | lead diff |+----------+------+------+------+----------+-----------+| 12:00:00 |  100 | NULL |  125 |     NULL |       -25 || 13:00:00 |  125 |  100 |  132 |       25 |        -7 || 14:00:00 |  132 |  125 |  145 |        7 |       -13 || 15:00:00 |  145 |  132 |  140 |       13 |         5 || 16:00:00 |  140 |  145 |  150 |       -5 |       -10 || 17:00:00 |  150 |  140 |  200 |       10 |       -50 || 18:00:00 |  200 |  150 | NULL |       50 |      NULL |+----------+------+------+------+----------+-----------+

    In the example, theLAG() andLEAD() calls use the defaultN anddefault values of 1 andNULL, respectively.

    The first row shows what happens when there is no previous row forLAG(): The function returns thedefault value (in this case,NULL). The last row shows the same thing when there is no next row forLEAD().

    LAG() andLEAD() also serve to compute sums rather than differences. Consider this data set, which contains the first few numbers of the Fibonacci series:

    mysql> SELECT n FROM fib ORDER BY n;+------+| n    |+------+|    1 ||    1 ||    2 ||    3 ||    5 ||    8 |+------+

    The following query shows theLAG() andLEAD() values for the rows adjacent to the current row. It also uses those functions to add to the current row value the values from the preceding and following rows. The effect is to generate the next number in the Fibonacci series, and the next number after that:

    mysql> SELECT         n,         LAG(n, 1, 0)      OVER w AS 'lag',         LEAD(n, 1, 0)     OVER w AS 'lead',         n + LAG(n, 1, 0)  OVER w AS 'next_n',         n + LEAD(n, 1, 0) OVER w AS 'next_next_n'       FROM fib       WINDOW w AS (ORDER BY n);+------+------+------+--------+-------------+| n    | lag  | lead | next_n | next_next_n |+------+------+------+--------+-------------+|    1 |    0 |    1 |      1 |           2 ||    1 |    1 |    2 |      2 |           3 ||    2 |    1 |    3 |      3 |           5 ||    3 |    2 |    5 |      5 |           8 ||    5 |    3 |    8 |      8 |          13 ||    8 |    5 |    0 |     13 |           8 |+------+------+------+--------+-------------+

    One way to generate the initial set of Fibonacci numbers is to use a recursive common table expression. For an example, seeFibonacci Series Generation.

    You cannot use a negative value for the rows argument of this function.

  • LAST_VALUE(expr) [null_treatment]over_clause

    Returns the value ofexpr from the last row of the window frame.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.null_treatment is as described in the section introduction.

    For an example, see theFIRST_VALUE() function description.

  • LEAD(expr [,N[,default]]) [null_treatment]over_clause

    Returns the value ofexpr from the row that leads (follows) the current row byN rows within its partition. If there is no such row, the return value isdefault. For example, ifN is 3, the return value isdefault for the last three rows. IfN ordefault are missing, the defaults are 1 andNULL, respectively.

    N must be a literal nonnegative integer. IfN is 0,expr is evaluated for the current row.

    N cannot beNULL, and must be an integer in the range0 to263, inclusive, in any of the following forms:

    • an unsigned integer constant literal

    • a positional parameter marker (?)

    • a user-defined variable

    • a local variable in a stored routine

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.null_treatment is as described in the section introduction.

    For an example, see theLAG() function description.

    Use of a negative value for the rows argument of this function is not permitted.

  • NTH_VALUE(expr,N) [from_first_last] [null_treatment]over_clause

    Returns the value ofexpr from theN-th row of the window frame. If there is no such row, the return value isNULL.

    N must be a literal positive integer.

    from_first_last is part of the SQL standard, but the MySQL implementation permits onlyFROM FIRST (which is also the default). This means that calculations begin at the first row of the window.FROM LAST is parsed, but produces an error. To obtain the same effect asFROM LAST (begin calculations at the last row of the window), useORDER BY to sort in reverse order.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.null_treatment is as described in the section introduction.

    For an example, see theFIRST_VALUE() function description.

    You cannot useNULL for the row argument of this function.

  • NTILE(N)over_clause

    Divides a partition intoN groups (buckets), assigns each row in the partition its bucket number, and returns the bucket number of the current row within its partition. For example, ifN is 4,NTILE() divides rows into four buckets. IfN is 100,NTILE() divides rows into 100 buckets.

    N must be a literal positive integer. Bucket number return values range from 1 toN.

    N cannot beNULL, and must be an integer in the range0 to263, inclusive, in any of the following forms:

    • an unsigned integer constant literal

    • a positional parameter marker (?)

    • a user-defined variable

    • a local variable in a stored routine

    This function should be used withORDER BY to sort partition rows into the desired order.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.

    The following query shows, for the set of values in theval column, the percentile values resulting from dividing the rows into two or four groups. For reference, the query also displays row numbers usingROW_NUMBER():

    mysql> SELECT         val,         ROW_NUMBER() OVER w AS 'row_number',         NTILE(2)     OVER w AS 'ntile2',         NTILE(4)     OVER w AS 'ntile4'       FROM numbers       WINDOW w AS (ORDER BY val);+------+------------+--------+--------+| val  | row_number | ntile2 | ntile4 |+------+------------+--------+--------+|    1 |          1 |      1 |      1 ||    1 |          2 |      1 |      1 ||    2 |          3 |      1 |      1 ||    3 |          4 |      1 |      2 ||    3 |          5 |      1 |      2 ||    3 |          6 |      2 |      3 ||    4 |          7 |      2 |      3 ||    4 |          8 |      2 |      4 ||    5 |          9 |      2 |      4 |+------+------------+--------+--------+

    The constructNTILE(NULL) is not permitted.

  • PERCENT_RANK()over_clause

    Returns the percentage of partition values less than the value in the current row, excluding the highest value. Return values range from 0 to 1 and represent the row relative rank, calculated as the result of this formula, whererank is the row rank androws is the number of partition rows:

    (rank - 1) / (rows - 1)

    This function should be used withORDER BY to sort partition rows into the desired order. WithoutORDER BY, all rows are peers.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.

    For an example, see theCUME_DIST() function description.

  • RANK()over_clause

    Returns the rank of the current row within its partition, with gaps. Peers are considered ties and receive the same rank. This function does not assign consecutive ranks to peer groups if groups of size greater than one exist; the result is noncontiguous rank numbers.

    This function should be used withORDER BY to sort partition rows into the desired order. WithoutORDER BY, all rows are peers.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.

    The following query shows the difference betweenRANK(), which produces ranks with gaps, andDENSE_RANK(), which produces ranks without gaps. The query shows rank values for each member of a set of values in theval column, which contains some duplicates.RANK() assigns peers (the duplicates) the same rank value, and the next greater value has a rank higher by the number of peers minus one.DENSE_RANK() also assigns peers the same rank value, but the next higher value has a rank one greater. For reference, the query also displays row numbers usingROW_NUMBER():

    mysql> SELECT         val,         ROW_NUMBER() OVER w AS 'row_number',         RANK()       OVER w AS 'rank',         DENSE_RANK() OVER w AS 'dense_rank'       FROM numbers       WINDOW w AS (ORDER BY val);+------+------------+------+------------+| val  | row_number | rank | dense_rank |+------+------------+------+------------+|    1 |          1 |    1 |          1 ||    1 |          2 |    1 |          1 ||    2 |          3 |    3 |          2 ||    3 |          4 |    4 |          3 ||    3 |          5 |    4 |          3 ||    3 |          6 |    4 |          3 ||    4 |          7 |    7 |          4 ||    4 |          8 |    7 |          4 ||    5 |          9 |    9 |          5 |+------+------------+------+------------+
  • ROW_NUMBER()over_clause

    Returns the number of the current row within its partition. Rows numbers range from 1 to the number of partition rows.

    ORDER BY affects the order in which rows are numbered. WithoutORDER BY, row numbering is nondeterministic.

    ROW_NUMBER() assigns peers different row numbers. To assign peers the same value, useRANK() orDENSE_RANK(). For an example, see theRANK() function description.

    over_clause is as described inSection 14.20.2, “Window Function Concepts and Syntax”.