# Impala Analytic Functions

Analytic functions (also known as window functions) are a special category of built-in functions. Like aggregate functions, they examine the contents of multiple input
rows to compute each output value. However, rather than being limited to one result value per `GROUP BY` group, they operate on windows where the
input rows are ordered and grouped using flexible conditions expressed through an `OVER()` clause.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

Some functions, such as `LAG()` and `RANK()`, can only be used in this analytic context. Some aggregate functions do double
duty: when you call the aggregation functions such as `MAX()`, `SUM()`, `AVG()`, and so on with an `OVER()` clause, they produce an output value for each row, based on computations across other rows in the window.

Although analytic functions often compute the same value you would see from an aggregate function in a `GROUP BY` query, the analytic functions produce a
value for each row in the result set rather than a single value for each group. This flexibility lets you include additional columns in the `SELECT` list, offering more
opportunities for organizing and filtering the result set.

Analytic function calls are only allowed in the `SELECT` list and in the outermost `ORDER BY` clause of the query. During query
processing, analytic functions are evaluated after other query stages such as joins, `WHERE`, and `GROUP BY`,

The rows that are part of each partition are analyzed by computations across an ordered or unordered set of rows. For example, `COUNT()` and `SUM()` might be applied to all the rows in the partition, in which case the order of analysis does not matter. The `ORDER BY` clause might be used
inside the `OVER()` clause to defines the ordering that applies to functions such as `LAG()` and `FIRST_VALUE()`.

Analytic functions are frequently used in fields such as finance and science to provide trend, outlier, and bucketed analysis for large data sets. You might also see the term
"window functions" in database literature, referring to the sequence of rows (the "window") that the function call applies to, particularly when the
`OVER` clause includes a `ROWS` or `RANGE` keyword.

The following sections describe the analytic query clauses and the pure analytic functions provided by Impala. For usage information about aggregate functions in an analytic context, see Impala Aggregate Functions.

Continue reading:

- OVER Clause
- Window Clause
- AVG Function - Analytic Context
- COUNT Function - Analytic Context
- CUME_DIST Function (CDH 5.5 or higher only)
- DENSE_RANK Function
- FIRST_VALUE Function
- LAG Function
- LAST_VALUE Function
- LEAD Function
- MAX Function - Analytic Context
- MIN Function - Analytic Context
- NTILE Function (CDH 5.5 or higher only)
- PERCENT_RANK Function (CDH 5.5 or higher only)
- RANK Function
- ROW_NUMBER Function
- SUM Function - Analytic Context

## OVER Clause

The `OVER` clause is required for calls to pure analytic functions such as `LEAD()`, `RANK()`, and
`FIRST_VALUE()`. When you include an `OVER` clause with calls to aggregate functions such as `MAX()`,
`COUNT()`, or `SUM()`, they operate as analytic functions.

**Syntax:**

function(args) OVER([partition_by_clause] [order_by_clause[window_clause]]) partition_by_clause ::= PARTITION BYexpr[,expr...] order_by_clause ::= ORDER BYexpr[ASC | DESC] [NULLS FIRST | NULLS LAST] [,expr[ASC | DESC] [NULLS FIRST | NULLS LAST] ...] window_clause: See Window Clause

**PARTITION BY clause:**

The `PARTITION BY` clause acts much like the `GROUP BY` clause in the outermost block of a query. It divides the rows into
groups containing identical values in one or more columns. These logical groups are known as partitions. Throughout the discussion of analytic functions, "partitions" refers to the groups produced by the `PARTITION BY` clause, not to partitioned tables. However, note the following limitation that applies
specifically to analytic function calls involving partitioned tables.

In queries involving both analytic functions and partitioned tables, partition pruning only occurs for columns named in the `PARTITION
BY` clause of the analytic function call. For example, if an analytic function query has a clause such as `WHERE year=2016`, the way to make the query prune all
other `YEAR` partitions is to include `PARTITION BY year` in the analytic function call; for example, `OVER (PARTITION
BY year, other_columns other_analytic_clauses)`.

The sequence of results from an analytic function "resets" for each new partition in the result set. That is, the set of preceding or following rows considered by
the analytic function always come from a single partition. Any `MAX()`, `SUM()`, `ROW_NUMBER()`, and so on apply
to each partition independently. Omit the `PARTITION BY` clause to apply the analytic operation to all the rows in the table.

**ORDER BY clause:**

The `ORDER BY` clause works much like the `ORDER BY` clause in the outermost block of a query. It defines the order in which
rows are evaluated for the entire input set, or for each group produced by a `PARTITION BY` clause. You can order by one or multiple expressions, and for each expression
optionally choose ascending or descending order and whether nulls come first or last in the sort order. Because this `ORDER BY` clause only defines the order in which
rows are evaluated, if you want the results to be output in a specific order, also include an `ORDER BY` clause in the outer block of the query.

When the `ORDER BY` clause is omitted, the analytic function applies to all items in the group produced by the `PARTITION BY`
clause. When the `ORDER BY` clause is included, the analysis can apply to all or a subset of the items in the group, depending on the optional window clause.

The order in which the rows are analyzed is only defined for those columns specified in `ORDER BY` clauses.

One difference between the analytic and outer uses of the `ORDER BY` clause: inside the `OVER` clause, `ORDER BY 1` or other integer value is interpreted as a constant sort value (effectively a no-op) rather than referring to column 1.

**Window clause:**

The window clause is only allowed in combination with an `ORDER BY` clause. If the `ORDER BY` clause is specified but the window
clause is not, the default window is `RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW`. See Window
Clause for full details.

**HBase considerations:**

Because HBase tables are optimized for single-row lookups rather than full scans, analytic functions using the `OVER()` clause are not recommended for HBase
tables. Although such queries work, their performance is lower than on comparable tables using HDFS data files.

**Parquet considerations:**

Analytic functions are very efficient for Parquet tables. The data that is examined during evaluation of the `OVER()` clause comes from a specified set of
columns, and the values for each column are arranged sequentially within each data file.

**Text table considerations:**

Analytic functions are convenient to use with text tables for exploratory business intelligence. When the volume of data is substantial, prefer to use Parquet tables for performance-critical analytic queries.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example shows how to synthesize a numeric sequence corresponding to all the rows in a table. The new table has the same columns as the old one, plus an additional column
`ID` containing the integers 1, 2, 3, and so on, corresponding to the order of a `TIMESTAMP` column in the original table.

CREATE TABLE events_with_id AS SELECT row_number() OVER (ORDER BY date_and_time) AS id, c1, c2, c3, c4 FROM events;

The following example shows how to determine the number of rows containing each value for a column. Unlike a corresponding `GROUP BY` query, this one can
analyze a single column and still return all values (not just the distinct ones) from the other columns.

SELECT x, y, z, count() OVER (PARTITION BY x) AS how_many_x FROM t1;

**Restrictions:**

You cannot directly combine the `DISTINCT` operator with analytic function calls. You can put the analytic function call in a `WITH` clause or an inline view, and apply the `DISTINCT` operator to its result set.

WITH t1 AS (SELECT x, sum(x) OVER (PARTITION BY x) AS total FROM t1) SELECT DISTINCT x, total FROM t1;

## Window Clause

Certain analytic functions accept an optional window clause, which makes the function analyze only certain rows "around" the current row rather than all rows in the partition. For example, you can get a moving average by specifying some number of preceding and following rows, or a running count or running total by specifying all rows up to the current position. This clause can result in different analytic results for rows within the same partition.

The window clause is supported with the `AVG()`, `COUNT()`, `FIRST_VALUE()`, `LAST_VALUE()`, and `SUM()` functions. For `MAX()` and `MIN()`, the window clause only allowed
if the start bound is `UNBOUNDED PRECEDING`

**Syntax:**

ROWS BETWEEN [ {m| UNBOUNDED } PRECEDING | CURRENT ROW] [ AND [CURRENT ROW | { UNBOUNDED |n} FOLLOWING] ] RANGE BETWEEN [ {m| UNBOUNDED } PRECEDING | CURRENT ROW] [ AND [CURRENT ROW | { UNBOUNDED |n} FOLLOWING] ]

`ROWS BETWEEN` defines the size of the window in terms of the indexes of the rows in the result set. The size of the window is predictable based on the
clauses the position within the result set.

`RANGE BETWEEN` does not currently support numeric arguments to define a variable-size sliding window.

Currently, Impala supports only some combinations of arguments to the `RANGE` clause:

`RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW`(the default when`ORDER BY`is specified and the window clause is omitted)`RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING``RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING`

When `RANGE` is used, `CURRENT ROW` includes not just the current row but all rows that are tied with the current row based on
the `ORDER BY` expressions.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following examples show financial data for a fictional stock symbol `JDR`. The closing price moves up and down each day.

create table stock_ticker (stock_symbol string, closing_price decimal(8,2), closing_date timestamp); ...load some data... select * from stock_ticker order by stock_symbol, closing_date +--------------+---------------+---------------------+ | stock_symbol | closing_price | closing_date | +--------------+---------------+---------------------+ | JDR | 12.86 | 2014-10-02 00:00:00 | | JDR | 12.89 | 2014-10-03 00:00:00 | | JDR | 12.94 | 2014-10-04 00:00:00 | | JDR | 12.55 | 2014-10-05 00:00:00 | | JDR | 14.03 | 2014-10-06 00:00:00 | | JDR | 14.75 | 2014-10-07 00:00:00 | | JDR | 13.98 | 2014-10-08 00:00:00 | +--------------+---------------+---------------------+

The queries use analytic functions with window clauses to compute moving averages of the closing price. For example, `ROWS BETWEEN 1 PRECEDING AND 1
FOLLOWING` produces an average of the value from a 3-day span, producing a different value for each row. The first row, which has no preceding row, only gets averaged with the row following it.
If the table contained more than one stock symbol, the `PARTITION BY` clause would limit the window for the moving average to only consider the prices for a single
stock.

select stock_symbol, closing_date, closing_price, avg(closing_price) over (partition by stock_symbol order by closing_date rows between 1 preceding and 1 following) as moving_average from stock_ticker; +--------------+---------------------+---------------+----------------+ | stock_symbol | closing_date | closing_price | moving_average | +--------------+---------------------+---------------+----------------+ | JDR | 2014-10-02 00:00:00 | 12.86 | 12.87 | | JDR | 2014-10-03 00:00:00 | 12.89 | 12.89 | | JDR | 2014-10-04 00:00:00 | 12.94 | 12.79 | | JDR | 2014-10-05 00:00:00 | 12.55 | 13.17 | | JDR | 2014-10-06 00:00:00 | 14.03 | 13.77 | | JDR | 2014-10-07 00:00:00 | 14.75 | 14.25 | | JDR | 2014-10-08 00:00:00 | 13.98 | 14.36 | +--------------+---------------------+---------------+----------------+

The clause `ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW` produces a cumulative moving average, from the earliest data up to the value for each day.

select stock_symbol, closing_date, closing_price, avg(closing_price) over (partition by stock_symbol order by closing_date rows between unbounded preceding and current row) as moving_average from stock_ticker; +--------------+---------------------+---------------+----------------+ | stock_symbol | closing_date | closing_price | moving_average | +--------------+---------------------+---------------+----------------+ | JDR | 2014-10-02 00:00:00 | 12.86 | 12.86 | | JDR | 2014-10-03 00:00:00 | 12.89 | 12.87 | | JDR | 2014-10-04 00:00:00 | 12.94 | 12.89 | | JDR | 2014-10-05 00:00:00 | 12.55 | 12.81 | | JDR | 2014-10-06 00:00:00 | 14.03 | 13.05 | | JDR | 2014-10-07 00:00:00 | 14.75 | 13.33 | | JDR | 2014-10-08 00:00:00 | 13.98 | 13.42 | +--------------+---------------------+---------------+----------------+

## AVG Function - Analytic Context

You can include an `OVER` clause with a call to this function to use it as an analytic function. See AVG
Function for details and examples.

## COUNT Function - Analytic Context

You can include an `OVER` clause with a call to this function to use it as an analytic function. See COUNT
Function for details and examples.

## CUME_DIST Function (CDH 5.5 or higher only)

Returns the cumulative distribution of a value. The value for each row in the result set is greater than 0 and less than or equal to 1.

**Syntax:**

CUME_DIST (expr) OVER ([partition_by_clause]order_by_clause)

The `ORDER BY` clause is required. The `PARTITION BY` clause is optional. The window clause is not allowed.

**Usage notes:**

Within each partition of the result set, the `CUME_DIST()` value represents an ascending sequence that ends at 1. Each value represents the proportion of
rows in the partition whose values are less than or equal to the value in the current row.

If the sequence of input values contains ties, the `CUME_DIST()` results are identical for the tied values.

Impala only supports the `CUME_DIST()` function in an analytic context, not as a regular aggregate function.

**Examples:**

This example uses a table with 9 rows. The `CUME_DIST()` function evaluates the entire table because there is no `PARTITION BY`
clause, with the rows ordered by the weight of the animal. the sequence of values shows that 1/9 of the values are less than or equal to the lightest animal (mouse), 2/9 of the values are less than
or equal to the second-lightest animal, and so on up to the heaviest animal (elephant), where 9/9 of the rows are less than or equal to its weight.

create table animals (name string, kind string, kilos decimal(9,3)); insert into animals values ('Elephant', 'Mammal', 4000), ('Giraffe', 'Mammal', 1200), ('Mouse', 'Mammal', 0.020), ('Condor', 'Bird', 15), ('Horse', 'Mammal', 500), ('Owl', 'Bird', 2.5), ('Ostrich', 'Bird', 145), ('Polar bear', 'Mammal', 700), ('Housecat', 'Mammal', 5); select name, cume_dist() over (order by kilos) from animals; +------------+-----------------------+ | name | cume_dist() OVER(...) | +------------+-----------------------+ | Elephant | 1 | | Giraffe | 0.8888888888888888 | | Polar bear | 0.7777777777777778 | | Horse | 0.6666666666666666 | | Ostrich | 0.5555555555555556 | | Condor | 0.4444444444444444 | | Housecat | 0.3333333333333333 | | Owl | 0.2222222222222222 | | Mouse | 0.1111111111111111 | +------------+-----------------------+

Using a `PARTITION BY` clause produces a separate sequence for each partition group, in this case one for mammals and one for birds. Because there are 3
birds and 6 mammals, the sequence illustrates how 1/3 of the "Bird" rows have a `kilos` value that is less than or equal to the lightest bird, 1/6
of the "Mammal" rows have a `kilos` value that is less than or equal to the lightest mammal, and so on until both the heaviest bird and heaviest
mammal have a `CUME_DIST()` value of 1.

select name, kind, cume_dist() over (partition by kind order by kilos) from animals +------------+--------+-----------------------+ | name | kind | cume_dist() OVER(...) | +------------+--------+-----------------------+ | Ostrich | Bird | 1 | | Condor | Bird | 0.6666666666666666 | | Owl | Bird | 0.3333333333333333 | | Elephant | Mammal | 1 | | Giraffe | Mammal | 0.8333333333333334 | | Polar bear | Mammal | 0.6666666666666666 | | Horse | Mammal | 0.5 | | Housecat | Mammal | 0.3333333333333333 | | Mouse | Mammal | 0.1666666666666667 | +------------+--------+-----------------------+

We can reverse the ordering within each partition group by using an `ORDER BY ... DESC` clause within the `OVER()` clause. Now
the lightest (smallest value of `kilos`) animal of each kind has a `CUME_DIST()` value of 1.

select name, kind, cume_dist() over (partition by kind order by kilos desc) from animals +------------+--------+-----------------------+ | name | kind | cume_dist() OVER(...) | +------------+--------+-----------------------+ | Owl | Bird | 1 | | Condor | Bird | 0.6666666666666666 | | Ostrich | Bird | 0.3333333333333333 | | Mouse | Mammal | 1 | | Housecat | Mammal | 0.8333333333333334 | | Horse | Mammal | 0.6666666666666666 | | Polar bear | Mammal | 0.5 | | Giraffe | Mammal | 0.3333333333333333 | | Elephant | Mammal | 0.1666666666666667 | +------------+--------+-----------------------+

The following example manufactures some rows with identical values in the `kilos` column, to demonstrate how the results look in case of tie values. For
simplicity, it only shows the `CUME_DIST()` sequence for the "Bird" rows. Now with 3 rows all with a value of 15, all of those rows have the same
`CUME_DIST()` value. 4/5 of the rows have a value for `kilos` that is less than or equal to 15.

insert into animals values ('California Condor', 'Bird', 15), ('Andean Condor', 'Bird', 15) select name, kind, cume_dist() over (order by kilos) from animals where kind = 'Bird'; +-------------------+------+-----------------------+ | name | kind | cume_dist() OVER(...) | +-------------------+------+-----------------------+ | Ostrich | Bird | 1 | | Condor | Bird | 0.8 | | California Condor | Bird | 0.8 | | Andean Condor | Bird | 0.8 | | Owl | Bird | 0.2 | +-------------------+------+-----------------------+

The following example shows how to use an `ORDER BY` clause in the outer block to order the result set in case of ties. Here, all the "Bird" rows are together, then in descending order by the result of the `CUME_DIST()` function, and all tied `CUME_DIST()` values
are ordered by the animal name.

select name, kind, cume_dist() over (partition by kind order by kilos) as ordering from animals where kind = 'Bird' order by kind, ordering desc, name; +-------------------+------+----------+ | name | kind | ordering | +-------------------+------+----------+ | Ostrich | Bird | 1 | | Andean Condor | Bird | 0.8 | | California Condor | Bird | 0.8 | | Condor | Bird | 0.8 | | Owl | Bird | 0.2 | +-------------------+------+----------+

## DENSE_RANK Function

Returns an ascending sequence of integers, starting with 1. The output sequence produces duplicate integers for duplicate values of the `ORDER BY`
expressions. After generating duplicate output values for the "tied" input values, the function continues the sequence with the next higher integer. Therefore, the sequence
contains duplicates but no gaps when the input contains duplicates. Starts the sequence over for each group produced by the `PARTITIONED BY` clause.

**Syntax:**

DENSE_RANK() OVER([partition_by_clause]order_by_clause)

The `PARTITION BY` clause is optional. The `ORDER BY` clause is required. The window clause is not allowed.

**Usage notes:**

Often used for top-N and bottom-N queries. For example, it could produce a "top 10" report including all the items with the 10 highest values, even if several items tied for 1st place.

Similar to `ROW_NUMBER` and `RANK`. These functions differ in how they treat duplicate combinations of values.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example demonstrates how the `DENSE_RANK()` function identifies where each value "places" in the result set, producing
the same result for duplicate values, but with a strict sequence from 1 to the number of groups. For example, when results are ordered by the `X` column, both
`1` values are tied for first; both `2` values are tied for second; and so on.

select x, dense_rank() over(order by x) as rank, property from int_t; +----+------+----------+ | x | rank | property | +----+------+----------+ | 1 | 1 | square | | 1 | 1 | odd | | 2 | 2 | even | | 2 | 2 | prime | | 3 | 3 | prime | | 3 | 3 | odd | | 4 | 4 | even | | 4 | 4 | square | | 5 | 5 | odd | | 5 | 5 | prime | | 6 | 6 | even | | 6 | 6 | perfect | | 7 | 7 | lucky | | 7 | 7 | lucky | | 7 | 7 | lucky | | 7 | 7 | odd | | 7 | 7 | prime | | 8 | 8 | even | | 9 | 9 | square | | 9 | 9 | odd | | 10 | 10 | round | | 10 | 10 | even | +----+------+----------+

The following examples show how the `DENSE_RANK()` function is affected by the `PARTITION` property within the `ORDER BY` clause.

Partitioning by the `PROPERTY` column groups all the even, odd, and so on values together, and `DENSE_RANK()` returns the place
of each value within the group, producing several ascending sequences.

select x, dense_rank() over(partition by property order by x) as rank, property from int_t; +----+------+----------+ | x | rank | property | +----+------+----------+ | 2 | 1 | even | | 4 | 2 | even | | 6 | 3 | even | | 8 | 4 | even | | 10 | 5 | even | | 7 | 1 | lucky | | 7 | 1 | lucky | | 7 | 1 | lucky | | 1 | 1 | odd | | 3 | 2 | odd | | 5 | 3 | odd | | 7 | 4 | odd | | 9 | 5 | odd | | 6 | 1 | perfect | | 2 | 1 | prime | | 3 | 2 | prime | | 5 | 3 | prime | | 7 | 4 | prime | | 10 | 1 | round | | 1 | 1 | square | | 4 | 2 | square | | 9 | 3 | square | +----+------+----------+

Partitioning by the `X` column groups all the duplicate numbers together and returns the place each value within the group; because each value occurs only 1
or 2 times, `DENSE_RANK()` designates each `X` value as either first or second within its group.

select x, dense_rank() over(partition by x order by property) as rank, property from int_t; +----+------+----------+ | x | rank | property | +----+------+----------+ | 1 | 1 | odd | | 1 | 2 | square | | 2 | 1 | even | | 2 | 2 | prime | | 3 | 1 | odd | | 3 | 2 | prime | | 4 | 1 | even | | 4 | 2 | square | | 5 | 1 | odd | | 5 | 2 | prime | | 6 | 1 | even | | 6 | 2 | perfect | | 7 | 1 | lucky | | 7 | 1 | lucky | | 7 | 1 | lucky | | 7 | 2 | odd | | 7 | 3 | prime | | 8 | 1 | even | | 9 | 1 | odd | | 9 | 2 | square | | 10 | 1 | even | | 10 | 2 | round | +----+------+----------+

The following example shows how `DENSE_RANK()` produces a continuous sequence while still allowing for ties. In this case, Croesus and Midas both have the
second largest fortune, while Crassus has the third largest. (In RANK Function, you see a similar query with the `RANK()` function that shows that while Crassus has the third largest fortune, he is the fourth richest person.)

select dense_rank() over (order by net_worth desc) as placement, name, net_worth from wealth order by placement, name; +-----------+---------+---------------+ | placement | name | net_worth | +-----------+---------+---------------+ | 1 | Solomon | 2000000000.00 | | 2 | Croesus | 1000000000.00 | | 2 | Midas | 1000000000.00 | | 3 | Crassus | 500000000.00 | | 4 | Scrooge | 80000000.00 | +-----------+---------+---------------+

**Related information:**

## FIRST_VALUE Function

Returns the expression value from the first row in the window. The return value is `NULL` if the input expression is `NULL`.

**Syntax:**

FIRST_VALUE(expr) OVER([partition_by_clause]order_by_clause[window_clause])

The `PARTITION BY` clause is optional. The `ORDER BY` clause is required. The window clause is optional.

**Usage notes:**

If any duplicate values occur in the tuples evaluated by the `ORDER BY` clause, the result of this function is not deterministic. Consider adding additional
`ORDER BY` columns to ensure consistent ordering.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example shows a table with a wide variety of country-appropriate greetings. For consistency, we want to standardize on a single greeting for each country. The `FIRST_VALUE()` function helps to produce a mail merge report where every person from the same country is addressed with the same greeting.

select name, country, greeting from mail_merge +---------+---------+--------------+ | name | country | greeting | +---------+---------+--------------+ | Pete | USA | Hello | | John | USA | Hi | | Boris | Germany | Guten tag | | Michael | Germany | Guten morgen | | Bjorn | Sweden | Hej | | Mats | Sweden | Tja | +---------+---------+--------------+ select country, name, first_value(greeting) over (partition by country order by name, greeting) as greeting from mail_merge; +---------+---------+-----------+ | country | name | greeting | +---------+---------+-----------+ | Germany | Boris | Guten tag | | Germany | Michael | Guten tag | | Sweden | Bjorn | Hej | | Sweden | Mats | Hej | | USA | John | Hi | | USA | Pete | Hi | +---------+---------+-----------+

Changing the order in which the names are evaluated changes which greeting is applied to each group.

select country, name, first_value(greeting) over (partition by country order by name desc, greeting) as greeting from mail_merge; +---------+---------+--------------+ | country | name | greeting | +---------+---------+--------------+ | Germany | Michael | Guten morgen | | Germany | Boris | Guten morgen | | Sweden | Mats | Tja | | Sweden | Bjorn | Tja | | USA | Pete | Hello | | USA | John | Hello | +---------+---------+--------------+

**Related information:**

## LAG Function

This function returns the value of an expression using column values from a preceding row. You specify an integer offset, which designates a row position some number of rows previous to the current row. Any column references in the expression argument refer to column values from that prior row. Typically, the table contains a time sequence or numeric sequence column that clearly distinguishes the ordering of the rows.

**Syntax:**

LAG (expr[,offset] [,default]) OVER ([partition_by_clause]order_by_clause)

The `ORDER BY` clause is required. The `PARTITION BY` clause is optional. The window clause is not allowed.

**Usage notes:**

Sometimes used an an alternative to doing a self-join.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example uses the same stock data created in Window Clause. For each day, the query prints the
closing price alongside the previous day's closing price. The first row for each stock symbol has no previous row, so that `LAG()` value is `NULL`.

select stock_symbol, closing_date, closing_price, lag(closing_price,1) over (partition by stock_symbol order by closing_date) as "yesterday closing" from stock_ticker order by closing_date; +--------------+---------------------+---------------+-------------------+ | stock_symbol | closing_date | closing_price | yesterday closing | +--------------+---------------------+---------------+-------------------+ | JDR | 2014-09-13 00:00:00 | 12.86 | NULL | | JDR | 2014-09-14 00:00:00 | 12.89 | 12.86 | | JDR | 2014-09-15 00:00:00 | 12.94 | 12.89 | | JDR | 2014-09-16 00:00:00 | 12.55 | 12.94 | | JDR | 2014-09-17 00:00:00 | 14.03 | 12.55 | | JDR | 2014-09-18 00:00:00 | 14.75 | 14.03 | | JDR | 2014-09-19 00:00:00 | 13.98 | 14.75 | +--------------+---------------------+---------------+-------------------+

The following example does an arithmetic operation between the current row and a value from the previous row, to produce a delta value for each day. This example also demonstrates how
`ORDER BY` works independently in the different parts of the query. The `ORDER BY closing_date` in the `OVER`
clause makes the query analyze the rows in chronological order. Then the outer query block uses `ORDER BY closing_date DESC` to present the results with the most recent
date first.

select stock_symbol, closing_date, closing_price, cast( closing_price - lag(closing_price,1) over (partition by stock_symbol order by closing_date) as decimal(8,2) ) as "change from yesterday" from stock_ticker order by closing_date desc; +--------------+---------------------+---------------+-----------------------+ | stock_symbol | closing_date | closing_price | change from yesterday | +--------------+---------------------+---------------+-----------------------+ | JDR | 2014-09-19 00:00:00 | 13.98 | -0.76 | | JDR | 2014-09-18 00:00:00 | 14.75 | 0.72 | | JDR | 2014-09-17 00:00:00 | 14.03 | 1.47 | | JDR | 2014-09-16 00:00:00 | 12.55 | -0.38 | | JDR | 2014-09-15 00:00:00 | 12.94 | 0.04 | | JDR | 2014-09-14 00:00:00 | 12.89 | 0.03 | | JDR | 2014-09-13 00:00:00 | 12.86 | NULL | +--------------+---------------------+---------------+-----------------------+

**Related information:**

This function is the converse of LEAD Function.

## LAST_VALUE Function

Returns the expression value from the last row in the window. This same value is repeated for all result rows for the group. The return value is `NULL` if
the input expression is `NULL`.

**Syntax:**

LAST_VALUE(expr) OVER([partition_by_clause]order_by_clause[window_clause])

The `PARTITION BY` clause is optional. The `ORDER BY` clause is required. The window clause is optional.

**Usage notes:**

If any duplicate values occur in the tuples evaluated by the `ORDER BY` clause, the result of this function is not deterministic. Consider adding additional
`ORDER BY` columns to ensure consistent ordering.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example uses the same `MAIL_MERGE` table as in the example for FIRST_VALUE
Function. Because the default window when `ORDER BY` is used is `BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW`, the query requires the
`UNBOUNDED FOLLOWING` to look ahead to subsequent rows and find the last value for each country.

select country, name, last_value(greeting) over ( partition by country order by name, greeting rows between unbounded preceding and unbounded following ) as greeting from mail_merge +---------+---------+--------------+ | country | name | greeting | +---------+---------+--------------+ | Germany | Boris | Guten morgen | | Germany | Michael | Guten morgen | | Sweden | Bjorn | Tja | | Sweden | Mats | Tja | | USA | John | Hello | | USA | Pete | Hello | +---------+---------+--------------+

**Related information:**

## LEAD Function

This function returns the value of an expression using column values from a following row. You specify an integer offset, which designates a row position some number of rows after to the current row. Any column references in the expression argument refer to column values from that later row. Typically, the table contains a time sequence or numeric sequence column that clearly distinguishes the ordering of the rows.

**Syntax:**

LEAD (expr[,offset] [,default]) OVER ([partition_by_clause]order_by_clause)

The `ORDER BY` clause is required. The `PARTITION BY` clause is optional. The window clause is not allowed.

**Usage notes:**

Sometimes used an an alternative to doing a self-join.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example uses the same stock data created in Window Clause. The query analyzes the closing price for a stock symbol, and for each day evaluates if the closing price for the following day is higher or lower.

select stock_symbol, closing_date, closing_price, case (lead(closing_price,1) over (partition by stock_symbol order by closing_date) - closing_price) > 0 when true then "higher" when false then "flat or lower" end as "trending" from stock_ticker order by closing_date; +--------------+---------------------+---------------+---------------+ | stock_symbol | closing_date | closing_price | trending | +--------------+---------------------+---------------+---------------+ | JDR | 2014-09-13 00:00:00 | 12.86 | higher | | JDR | 2014-09-14 00:00:00 | 12.89 | higher | | JDR | 2014-09-15 00:00:00 | 12.94 | flat or lower | | JDR | 2014-09-16 00:00:00 | 12.55 | higher | | JDR | 2014-09-17 00:00:00 | 14.03 | higher | | JDR | 2014-09-18 00:00:00 | 14.75 | flat or lower | | JDR | 2014-09-19 00:00:00 | 13.98 | NULL | +--------------+---------------------+---------------+---------------+

**Related information:**

This function is the converse of LAG Function.

## MAX Function - Analytic Context

You can include an `OVER` clause with a call to this function to use it as an analytic function. See MAX
Function for details and examples.

## MIN Function - Analytic Context

You can include an `OVER` clause with a call to this function to use it as an analytic function. See MIN
Function for details and examples.

## NTILE Function (CDH 5.5 or higher only)

Returns the "bucket number" associated with each row, between 1 and the value of an expression. For example, creating 100 buckets puts the lowest 1% of values in the first bucket, while creating 10 buckets puts the lowest 10% of values in the first bucket. Each partition can have a different number of buckets.

**Syntax:**

NTILE (expr[,offset...] OVER ([partition_by_clause]order_by_clause)

`ORDER BY` clause is required. The `PARTITION BY` clause is optional. The window clause is not allowed.

**Usage notes:**

The "ntile" name is derived from the practice of dividing result sets into fourths (quartile), tenths (decile), and so on. The `NTILE()` function divides the result set based on an arbitrary percentile value.

The number of buckets must be a positive integer.

The number of items in each bucket is identical or almost so, varying by at most 1. If the number of items does not divide evenly between the buckets, the remaining N items are divided evenly among the first N buckets.

If the number of buckets N is greater than the number of input rows in the partition, then the first N buckets each contain one item, and the remaining buckets are empty.

**Examples:**

The following example shows divides groups of animals into 4 buckets based on their weight. The `ORDER BY ... DESC` clause in the `OVER()` clause means that the heaviest 25% are in the first group, and the lightest 25% are in the fourth group. (The `ORDER BY` in the outermost part
of the query shows how you can order the final result set independently from the order in which the rows are evaluated by the `OVER()` clause.) Because there are 9 rows
in the group, divided into 4 buckets, the first bucket receives the extra item.

create table animals (name string, kind string, kilos decimal(9,3)); insert into animals values ('Elephant', 'Mammal', 4000), ('Giraffe', 'Mammal', 1200), ('Mouse', 'Mammal', 0.020), ('Condor', 'Bird', 15), ('Horse', 'Mammal', 500), ('Owl', 'Bird', 2.5), ('Ostrich', 'Bird', 145), ('Polar bear', 'Mammal', 700), ('Housecat', 'Mammal', 5); select name, ntile(4) over (order by kilos desc) as quarter from animals order by quarter desc; +------------+---------+ | name | quarter | +------------+---------+ | Owl | 4 | | Mouse | 4 | | Condor | 3 | | Housecat | 3 | | Horse | 2 | | Ostrich | 2 | | Elephant | 1 | | Giraffe | 1 | | Polar bear | 1 | +------------+---------+

The following examples show how the `PARTITION` clause works for the `NTILE()` function. Here, we divide each kind of animal
(mammal or bird) into 2 buckets, the heavier half and the lighter half.

select name, kind, ntile(2) over (partition by kind order by kilos desc) as half from animals order by kind; +------------+--------+------+ | name | kind | half | +------------+--------+------+ | Ostrich | Bird | 1 | | Condor | Bird | 1 | | Owl | Bird | 2 | | Elephant | Mammal | 1 | | Giraffe | Mammal | 1 | | Polar bear | Mammal | 1 | | Horse | Mammal | 2 | | Housecat | Mammal | 2 | | Mouse | Mammal | 2 | +------------+--------+------+

Again, the result set can be ordered independently from the analytic evaluation. This next example lists all the animals heaviest to lightest, showing that elephant and giraffe are in the "top half" of mammals by weight, while housecat and mouse are in the "bottom half".

select name, kind, ntile(2) over (partition by kind order by kilos desc) as half from animals order by kilos desc; +------------+--------+------+ | name | kind | half | +------------+--------+------+ | Elephant | Mammal | 1 | | Giraffe | Mammal | 1 | | Polar bear | Mammal | 1 | | Horse | Mammal | 2 | | Ostrich | Bird | 1 | | Condor | Bird | 1 | | Housecat | Mammal | 2 | | Owl | Bird | 2 | | Mouse | Mammal | 2 | +------------+--------+------+

## PERCENT_RANK Function (CDH 5.5 or higher only)

**Syntax:**

PERCENT_RANK (expr) OVER ([partition_by_clause]order_by_clause)

Calculates the rank, expressed as a percentage, of each row within a group of rows. If `rank` is the value for that same row from the `RANK()` function (from 1 to the total number of rows in the partition group), then the `PERCENT_RANK()` value is calculated as `( rank - 1) / (rows_in_group - 1)` . If there is only a single item in the partition group, its

`PERCENT_RANK()`value is 0.

`ORDER BY` clause is required. The `PARTITION BY` clause is optional. The window clause is not allowed.

**Usage notes:**

This function is similar to the `RANK` and `CUME_DIST()` functions: it returns an ascending sequence representing the position
of each row within the rows of the same partition group. The actual numeric sequence is calculated differently, and the handling of duplicate (tied) values is different.

The return values range from 0 to 1 inclusive. The first row in each partition group always has the value 0. A `NULL` value is considered the lowest possible
value. In the case of duplicate input values, all the corresponding rows in the result set have an identical value: the lowest `PERCENT_RANK()` value of those tied rows.
(In contrast to `CUME_DIST()`, where all tied rows have the highest `CUME_DIST()` value.)

**Examples:**

The following example uses the same `ANIMALS` table as the examples for `CUME_DIST()` and `NTILE()`, with a few additional rows to illustrate the results where some values are `NULL` or there is only a single row in a partition group.

insert into animals values ('Komodo dragon', 'Reptile', 70); insert into animals values ('Unicorn', 'Mythical', NULL); insert into animals values ('Fire-breathing dragon', 'Mythical', NULL);

As with `CUME_DIST()`, there is an ascending sequence for each kind of animal. For example, the "Birds" and "Mammals" rows each have a `PERCENT_RANK()` sequence that ranges from 0 to 1. The "Reptile" row has a `PERCENT_RANK()` of 0 because that partition group contains only a single item. Both "Mythical" animals have a `PERCENT_RANK()` of
0 because a `NULL` is considered the lowest value within its partition group.

select name, kind, percent_rank() over (partition by kind order by kilos) from animals; +-----------------------+----------+--------------------------+ | name | kind | percent_rank() OVER(...) | +-----------------------+----------+--------------------------+ | Mouse | Mammal | 0 | | Housecat | Mammal | 0.2 | | Horse | Mammal | 0.4 | | Polar bear | Mammal | 0.6 | | Giraffe | Mammal | 0.8 | | Elephant | Mammal | 1 | | Komodo dragon | Reptile | 0 | | Owl | Bird | 0 | | California Condor | Bird | 0.25 | | Andean Condor | Bird | 0.25 | | Condor | Bird | 0.25 | | Ostrich | Bird | 1 | | Fire-breathing dragon | Mythical | 0 | | Unicorn | Mythical | 0 | +-----------------------+----------+--------------------------+

## RANK Function

Returns an ascending sequence of integers, starting with 1. The output sequence produces duplicate integers for duplicate values of the `ORDER BY`
expressions. After generating duplicate output values for the "tied" input values, the function increments the sequence by the number of tied values. Therefore, the sequence
contains both duplicates and gaps when the input contains duplicates. Starts the sequence over for each group produced by the `PARTITIONED BY` clause.

**Syntax:**

RANK() OVER([partition_by_clause]order_by_clause)

The `PARTITION BY` clause is optional. The `ORDER BY` clause is required. The window clause is not allowed.

**Usage notes:**

Often used for top-N and bottom-N queries. For example, it could produce a "top 10" report including several items that were tied for 10th place.

Similar to `ROW_NUMBER` and `DENSE_RANK`. These functions differ in how they treat duplicate combinations of values.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example demonstrates how the `RANK()` function identifies where each value "places" in the result set, producing the
same result for duplicate values, and skipping values in the sequence to account for the number of duplicates. For example, when results are ordered by the `X` column,
both `1` values are tied for first; both `2` values are tied for third; and so on.

select x, rank() over(order by x) as rank, property from int_t; +----+------+----------+ | x | rank | property | +----+------+----------+ | 1 | 1 | square | | 1 | 1 | odd | | 2 | 3 | even | | 2 | 3 | prime | | 3 | 5 | prime | | 3 | 5 | odd | | 4 | 7 | even | | 4 | 7 | square | | 5 | 9 | odd | | 5 | 9 | prime | | 6 | 11 | even | | 6 | 11 | perfect | | 7 | 13 | lucky | | 7 | 13 | lucky | | 7 | 13 | lucky | | 7 | 13 | odd | | 7 | 13 | prime | | 8 | 18 | even | | 9 | 19 | square | | 9 | 19 | odd | | 10 | 21 | round | | 10 | 21 | even | +----+------+----------+

The following examples show how the `RANK()` function is affected by the `PARTITION` property within the `ORDER BY` clause.

Partitioning by the `PROPERTY` column groups all the even, odd, and so on values together, and `RANK()` returns the place of
each value within the group, producing several ascending sequences.

select x, rank() over(partition by property order by x) as rank, property from int_t; +----+------+----------+ | x | rank | property | +----+------+----------+ | 2 | 1 | even | | 4 | 2 | even | | 6 | 3 | even | | 8 | 4 | even | | 10 | 5 | even | | 7 | 1 | lucky | | 7 | 1 | lucky | | 7 | 1 | lucky | | 1 | 1 | odd | | 3 | 2 | odd | | 5 | 3 | odd | | 7 | 4 | odd | | 9 | 5 | odd | | 6 | 1 | perfect | | 2 | 1 | prime | | 3 | 2 | prime | | 5 | 3 | prime | | 7 | 4 | prime | | 10 | 1 | round | | 1 | 1 | square | | 4 | 2 | square | | 9 | 3 | square | +----+------+----------+

Partitioning by the `X` column groups all the duplicate numbers together and returns the place each value within the group; because each value occurs only 1
or 2 times, `RANK()` designates each `X` value as either first or second within its group.

select x, rank() over(partition by x order by property) as rank, property from int_t; +----+------+----------+ | x | rank | property | +----+------+----------+ | 1 | 1 | odd | | 1 | 2 | square | | 2 | 1 | even | | 2 | 2 | prime | | 3 | 1 | odd | | 3 | 2 | prime | | 4 | 1 | even | | 4 | 2 | square | | 5 | 1 | odd | | 5 | 2 | prime | | 6 | 1 | even | | 6 | 2 | perfect | | 7 | 1 | lucky | | 7 | 1 | lucky | | 7 | 1 | lucky | | 7 | 4 | odd | | 7 | 5 | prime | | 8 | 1 | even | | 9 | 1 | odd | | 9 | 2 | square | | 10 | 1 | even | | 10 | 2 | round | +----+------+----------+

The following example shows how a magazine might prepare a list of history's wealthiest people. Croesus and Midas are tied for second, then Crassus is fourth.

select rank() over (order by net_worth desc) as rank, name, net_worth from wealth order by rank, name; +------+---------+---------------+ | rank | name | net_worth | +------+---------+---------------+ | 1 | Solomon | 2000000000.00 | | 2 | Croesus | 1000000000.00 | | 2 | Midas | 1000000000.00 | | 4 | Crassus | 500000000.00 | | 5 | Scrooge | 80000000.00 | +------+---------+---------------+

**Related information:**

## ROW_NUMBER Function

Returns an ascending sequence of integers, starting with 1. Starts the sequence over for each group produced by the `PARTITIONED BY` clause. The output
sequence includes different values for duplicate input values. Therefore, the sequence never contains any duplicates or gaps, regardless of duplicate input values.

**Syntax:**

ROW_NUMBER() OVER([partition_by_clause]order_by_clause)

`ORDER BY` clause is required. The `PARTITION BY` clause is optional. The window clause is not allowed.

**Usage notes:**

Often used for top-N and bottom-N queries where the input values are known to be unique, or precisely N rows are needed regardless of duplicate values.

Because its result value is different for each row in the result set (when used without a `PARTITION BY` clause), `ROW_NUMBER()`
can be used to synthesize unique numeric ID values, for example for result sets involving unique values or tuples.

Similar to `RANK` and `DENSE_RANK`. These functions differ in how they treat duplicate combinations of values.

**Added in:** CDH 5.2.0 (Impala 2.0.0)

**Examples:**

The following example demonstrates how `ROW_NUMBER()` produces a continuous numeric sequence, even though some values of `X` are
repeated.

select x, row_number() over(order by x, property) as row_number, property from int_t; +----+------------+----------+ | x | row_number | property | +----+------------+----------+ | 1 | 1 | odd | | 1 | 2 | square | | 2 | 3 | even | | 2 | 4 | prime | | 3 | 5 | odd | | 3 | 6 | prime | | 4 | 7 | even | | 4 | 8 | square | | 5 | 9 | odd | | 5 | 10 | prime | | 6 | 11 | even | | 6 | 12 | perfect | | 7 | 13 | lucky | | 7 | 14 | lucky | | 7 | 15 | lucky | | 7 | 16 | odd | | 7 | 17 | prime | | 8 | 18 | even | | 9 | 19 | odd | | 9 | 20 | square | | 10 | 21 | even | | 10 | 22 | round | +----+------------+----------+

The following example shows how a financial institution might assign customer IDs to some of history's wealthiest figures. Although two of the people have identical net worth figures,
unique IDs are required for this purpose. `ROW_NUMBER()` produces a sequence of five different values for the five input rows.

select row_number() over (order by net_worth desc) as account_id, name, net_worth from wealth order by account_id, name; +------------+---------+---------------+ | account_id | name | net_worth | +------------+---------+---------------+ | 1 | Solomon | 2000000000.00 | | 2 | Croesus | 1000000000.00 | | 3 | Midas | 1000000000.00 | | 4 | Crassus | 500000000.00 | | 5 | Scrooge | 80000000.00 | +------------+---------+---------------+

**Related information:**

## SUM Function - Analytic Context

You can include an `OVER` clause with a call to this function to use it as an analytic function. See SUM
Function for details and examples.