13.15. Window Functions
Window functions perform calculations across rows of the query result.
They run after the HAVING
clause but before the ORDER BY
clause.
Invoking a window function requires special syntax using the OVER
clause to specify the window. A window has three components:
 The partition specification, which separates the input rows into different
partitions. This is analogous to how the
GROUP BY
clause separates rows into different groups for aggregate functions.  The ordering specification, which determines the order in which input rows will be processed by the window function.
 The window frame, which specifies a sliding window of rows to be processed
by the function for a given row. If the frame is not specified, it defaults
to
RANGE UNBOUNDED PRECEDING
, which is the same asRANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
. This frame contains all rows from the start of the partition up to the last peer of the current row.
For example, the following query ranks orders for each clerk by price:
SELECT orderkey, clerk, totalprice,
rank() OVER (PARTITION BY clerk
ORDER BY totalprice DESC) AS rnk
FROM orders
ORDER BY clerk, rnk
Aggregate Functions
All Aggregate Functions can be used as window functions by adding the OVER
clause. The aggregate function is computed for each row over the rows within
the current row’s window frame.
For example, the following query produces a rolling sum of order prices by day for each clerk:
SELECT clerk, orderdate, orderkey, totalprice,
sum(totalprice) OVER (PARTITION BY clerk
ORDER BY orderdate) AS rolling_sum
FROM orders
ORDER BY clerk, orderdate, orderkey
Ranking Functions

cume_dist
() → bigint Returns the cumulative distribution of a value in a group of values. The result is the number of rows preceding or peer with the row in the window ordering of the window partition divided by the total number of rows in the window partition. Thus, any tie values in the ordering will evaluate to the same distribution value.

dense_rank
() → bigint Returns the rank of a value in a group of values. This is similar to
rank()
, except that tie values do not produce gaps in the sequence.

ntile
(n) → bigint Divides the rows for each window partition into
n
buckets ranging from1
to at mostn
. Bucket values will differ by at most1
. If the number of rows in the partition does not divide evenly into the number of buckets, then the remainder values are distributed one per bucket, starting with the first bucket.For example, with
6
rows and4
buckets, the bucket values would be as follows:1
1
2
2
3
4

percent_rank
() → double Returns the percentage ranking of a value in group of values. The result is
(r  1) / (n  1)
wherer
is therank()
of the row andn
is the total number of rows in the window partition.

rank
() → bigint Returns the rank of a value in a group of values. The rank is one plus the number of rows preceding the row that are not peer with the row. Thus, tie values in the ordering will produce gaps in the sequence. The ranking is performed for each window partition.

row_number
() → bigint Returns a unique, sequential number for each row, starting with one, according to the ordering of rows within the window partition.
Value Functions

first_value
(x) → [same as input] Returns the first value of the window.

last_value
(x) → [same as input] Returns the last value of the window.

nth_value
(x, offset) → [same as input] Returns the value at the specified offset from beginning the window. Offsets start at
1
. The offset can be any scalar expression. If the offset is null or greater than the number of values in the window, null is returned. It is an error for the offset to be zero or negative.

lead
(x[, offset[, default_value]]) → [same as input] Returns the value at
offset
rows after the current row in the window. Offsets start at0
, which is the current row. The offset can be any scalar expression. The defaultoffset
is1
. If the offset is null or larger than the window, thedefault_value
is returned, or if it is not specifiednull
is returned.

lag
(x[, offset[, default_value]]) → [same as input] Returns the value at
offset
rows before the current row in the window Offsets start at0
, which is the current row. The offset can be any scalar expression. The defaultoffset
is1
. If the offset is null or larger than the window, thedefault_value
is returned, or if it is not specifiednull
is returned.