# Window functions

Window functions are calculated in the same way as aggregations, but they do not merge multiple entries into one. In some cases, this leads to duplication of values among entries in the same group (for example, SUM(... TOTAL)).

Aggregate functions are calculated from groups of values that are determined by the dimension fields used in a data query: entries with matching dimension values are grouped. Window functions are also calculated over groups of entries called windows. In this case, you should specify grouping parameters in the function call as a list of dimensions to be included (WITHIN ...) or excluded (AMONG ...) from the grouping.

## Usage Restrictions

1. The first argument in window functions can only be measures.
For the AVG_IF, COUNT_IF, SUM_IF window functions, the first argument (expression in the function description) must always be a measure.
Example:

AVG_IF([Profit], [Profit] > 5)

For other window functions, the first (and only) argument (value in the function description) must always be a measure, too.

Examples:
- Valid: SUM(SUM([Profit]) TOTAL).
- Not valid: RANK([Profit] TOTAL), where [Profit] is a non-aggregated expression.

1. For grouping window functions, only the dimensions used to build the chart can be applied. Only the dimensions used to build the chart set the grouping when calculating a measure. These dimensions define how values are split into groups and therefore have fixed values in each group.

If you specify a dimension that was not used to build the chart, it won't have a fixed value and the value can be different in each group row. As a result, it will be impossible to determine which value of this dimension must be used to calculate the measure. This limitation applies to the WITHIN and AMONG grouping types.

Examples:
- Valid: RANK(SUM([Profit]) WITHIN [Category]) in the chart with grouping by the [Order Date] and [Category] dimensions.
- Allowed: RANK(SUM([Profit]) WITHIN [City]) in the chart with grouping by the [Category] dimension,       [City] does not participate in the grouping.
- Not valid: RANK(SUM([Profit]) WITHIN [Category]) in a chart with grouping by the [Order Date] and [City] dimensions.
- Not valid: RANK(SUM([Profit]) AMONG [City]) in a chart with grouping by the [Order Date] and [Category] dimensions.

1. The Filters section doesn't affect the chart grouping, so if the dimension is only in this chart section, you can't use it in the window function.

Example:

• Chart type: Table.
• In the Columns section, the Category dimension and the SUM(SUM([Sales] BEFORE FILTER BY [Date]) expression are added.
• The Date dimension is added to the Filters section.

This will result in an error because the Date dimension isn't used to build the chart.

2. If a window function is used to build a Table chart, we don't recommend enabling the display of Total in the settings. This may cause an error.

## Syntax

The general syntax for window functions is as follows:

<WINDOW_FUNCTION_NAME>(
arg1, arg2, ...

[ TOTAL
| WITHIN dim1, dim2, ...
| AMONG dim1, dim2, ... ]

[ ORDER BY field1, field2, ... ]

[ BEFORE FILTER BY filtered_field1, ... ]
)


It starts off, just like a regular function call, with its name and arguments (arg1, arg2, ... in this case).

### Grouping

The arguments are followed by a window grouping, which can be one of three types:

• TOTAL (equivalent to WITHIN without dimensions): all query entries fall into a single window.
• WITHIN dim1, dim2, ... : records are grouped by the dimensions dim1, dim2, ....
• AMONG dim1, dim2, ... : records are grouped by all dimensions from the query, except those listed. For example, if we use formula RSUM(SUM([Sales]) AMONG dim1, dim2) with dimensions dim1, dim2, dim3, dim4 in the data query, then the entries will be grouped by dim3 and dim4, so it will be equivalent to RSUM([Sales] WITHIN dim3, dim4).

The grouping clause is optional. TOTAL is used by default.

### Ordering

After the grouping comes the ordering clause. It is only supported for order-dependent functions:

M* R* Positional functions
MAVG RAVG LAG
MCOUNT RCOUNT FIRST
MMAX RMAX LAST
MMIN RMIN
MSUM RSUM

The ordering clause is optional for these functions.

See the descriptions of these functions for more information on how this order affects the result value.
The ORDER BY clause accepts dimensions as well as measures. It also supports the standard ASC/DESC syntax (ASC is assumed by default) to specify ascending or descending order respectively:
... ORDER BY [Date] ASC, SUM([Sales]) DESC, [Category] ...

Fields listed in ORDER BY are combined with fields listed in the chart's sorting section.
Example:

• Function — ... ORDER BY [Date] DESC, [City].
• Chart — Sorted by Date and Category.
• Result — Date (descending), City, Category.

### BEFORE FILTER BY

If any fields are listed in BEFORE FILTER BY, then this window function is calculated before data is filtered using these fields.

BEFORE FILTER BY applies to all nested window functions too.
Example:

• Formula — MAVG(RSUM([Sales] BEFORE FILTER BY [Date]), 10).
• Equivalent — MAVG(RSUM([Sales] BEFORE FILTER BY [Date]), 10 BEFORE FILTER BY [Date]).

Do not use conflicting BEFORE FILTER BY clauses:

• Valid: MAVG(RSUM([Sales] BEFORE FILTER BY [Date], [Category]), 10 BEFORE FILTER BY [Date]) — functions are nested and ([Date]) is a subset of ([Date], [Category]).
• Valid: MAVG(RSUM([Sales] BEFORE FILTER BY [Category]), 10 BEFORE FILTER BY [Date]) — functions are nested, so field lists are combined in the second of the two functions.
• Valid: RSUM([Sales] BEFORE FILTER BY [Date], [Category]) - RSUM([Sales] BEFORE FILTER BY [Date]) — ([Date]) is a subset of ([Date], [Category]).
• Not valid: RSUM([Sales] BEFORE FILTER BY [Category]) - RSUM([Sales] BEFORE FILTER BY [Date]) — functions are not nested and neither of ([Category]) and ([Date]) is a subset of the other.

## Aggregate Functions as Window Functions

The following aggregations can also be used as window functions:

Aggregations Conditional Aggregations
SUM SUM_IF
COUNT COUNT_IF
AVG AVG_IF
MAX
MIN

To use the window version of the aggregate functions, you must explicitly specify the grouping (unlike other window functions, where it is optional).

Example:

• SUM([Sales]) / SUM(SUM([Sales]) TOTAL) can be used to calculate the ratio of a group's sum of [Sales] to the sum of [Sales] among all entries.

## AVG

Syntax:
AVG( value TOTAL | WITHIN ... | AMONG ... )
or
AVG( value TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the average of all values. Applicable to numeric data types.

## AVG_IF

Syntax:
AVG_IF( expression, condition TOTAL | WITHIN ... | AMONG ... )
or
AVG_IF( expression, condition TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the average of all values that meet the condition condition. If the values don't exist, it returns NULL. Applicable to numeric data types only.

## COUNT

Syntax:
COUNT( [ value ] TOTAL | WITHIN ... | AMONG ... )
or
COUNT( [ value ] TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the number of items in the specified window.

## COUNT_IF

Syntax:
COUNT_IF( expression, condition TOTAL | WITHIN ... | AMONG ... )
or
COUNT_IF( expression, condition TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the number of items in the specified window meeting the expression condition.

## FIRST

Syntax:
FIRST( value )
or
FIRST( value [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the value of value from the first row in the window. See also LAST.

## LAG

Syntax:
LAG( value [ , offset [ , default ] ] )
or
LAG( value [ , offset [ , default ] ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns value re-evaluated against the row that is offset from the current row by offset within the specified window:

• Positive offset seeks among preceding rows.
• Negative offset seeks among following rows.

By default offset is 1.

If there is no available value (offset reaches before the first row or after the last one), then default is returned. If default is not specified, then NULL is used.

## LAST

Syntax:
LAST( value )
or
LAST( value [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the value of value from the last row in the window. See also FIRST.

## MAVG

Syntax:
MAVG( value, rows_1 [ , rows_2 ] )
or
MAVG( value, rows_1 [ , rows_2 ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the moving average of values in a fixed-size window defined by the sort order and arguments:

rows_1 rows_2 Window
positive - The current row and rows_1 preceding rows.
negative - The current row and -rows_1 following rows.
any sign any sign rows_1 preceding rows, the current row and rows_2 following rows.

Window functions with a similar behavior: MSUM, MCOUNT, MMIN, MMAX.

## MAX

Syntax:
MAX( value TOTAL | WITHIN ... | AMONG ... )
or
MAX( value TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the maximum value.

If value:

• number — Returns the largest number.
• date — Returns the latest date.
• string — Returns the last value in the alphabetic order.

## MCOUNT

Syntax:
MCOUNT( value, rows_1 [ , rows_2 ] )
or
MCOUNT( value, rows_1 [ , rows_2 ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the moving count of (non-NULL) values in a fixed-size window defined by the sort order and arguments:

rows_1 rows_2 Window
positive - The current row and rows_1 preceding rows.
negative - The current row and -rows_1 following rows.
any sign any sign rows_1 preceding rows, the current row and rows_2 following rows.

Window functions with a similar behavior: MSUM, MMIN, MMAX, MAVG.

## MIN

Syntax:
MIN( value TOTAL | WITHIN ... | AMONG ... )
or
MIN( value TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the minimum value.

If value:

• number — Returns the smallest number.
• date — Returns the earliest date.
• string — Returns the first value in the alphabetic order.

## MMAX

Syntax:
MMAX( value, rows_1 [ , rows_2 ] )
or
MMAX( value, rows_1 [ , rows_2 ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the moving maximum of values in a fixed-size window defined by the sort order and arguments:

rows_1 rows_2 Window
positive - The current row and rows_1 preceding rows.
negative - The current row and -rows_1 following rows.
any sign any sign rows_1 preceding rows, the current row and rows_2 following rows.

Window functions with a similar behavior: MSUM, MCOUNT, MMIN, MAVG.

## MMIN

Syntax:
MMIN( value, rows_1 [ , rows_2 ] )
or
MMIN( value, rows_1 [ , rows_2 ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the moving minimum of values in a fixed-size window defined by the sort order and arguments:

rows_1 rows_2 Window
positive - The current row and rows_1 preceding rows.
negative - The current row and -rows_1 following rows.
any sign any sign rows_1 preceding rows, the current row and rows_2 following rows.

Window functions with a similar behavior: MSUM, MCOUNT, MMAX, MAVG.

## MSUM

Syntax:
MSUM( value, rows_1 [ , rows_2 ] )
or
MSUM( value, rows_1 [ , rows_2 ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the moving sum of values in a fixed-size window defined by the sort order and arguments:

rows_1 rows_2 Window
positive - The current row and rows_1 preceding rows.
negative - The current row and -rows_1 following rows.
any sign any sign rows_1 preceding rows, the current row and rows_2 following rows.

Window functions with a similar behavior: MCOUNT, MMIN, MMAX, MAVG.

## RANK

Syntax:
RANK( value [ , direction ] )
or
RANK( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ BEFORE FILTER BY ... ] )

Returns the rank of the current row if ordered by the given argument. Rows corresponding to the same value used for sorting have the same rank. If the first two rows both have rank of 1, then the next row (if it features a different value) will have rank 3, so, in effect, it is rank with gaps.

If direction is "desc" or omitted, then ranking is done from greatest to least, if "asc", then from least to greatest.

## RANK_DENSE

Syntax:
RANK_DENSE( value [ , direction ] )
or
RANK_DENSE( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ BEFORE FILTER BY ... ] )

Returns the rank of the current row if ordered by the given argument. Rows corresponding to the same value used for sorting have the same rank. If the first two rows both have rank of 1, then the next row (if it features a different value) will have rank 2, (rank without gaps).

If direction is "desc" or omitted, then ranking is done from greatest to least, if "asc", then from least to greatest.

## RANK_PERCENTILE

Syntax:
RANK_PERCENTILE( value [ , direction ] )
or
RANK_PERCENTILE( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ BEFORE FILTER BY ... ] )

Returns the relative rank (from 0 to 1) of the current row if ordered by the given argument. Calculated as (RANK(...) - 1) / (row count) .

If direction is "desc" or omitted, then ranking is done from greatest to least, if "asc", then from least to greatest.

## RANK_UNIQUE

Syntax:
RANK_UNIQUE( value [ , direction ] )
or
RANK_UNIQUE( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ BEFORE FILTER BY ... ] )

Returns the rank of the current row if ordered by the given argument. Rows corresponding to the same value have different rank values. This means that rank values are sequential and different for all rows, always increasing by 1 for the next row.

If direction is "desc" or omitted, then ranking is done from greatest to least, if "asc", then from least to greatest.

## RAVG

Syntax:
RAVG( value [ , direction ] )
or
RAVG( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the average of all values in a growing (or shrinking) window defined by the sort order and the value of direction:

direction Window
"asc" Starts from the first row and ends at the current row.
"desc" Starts from the current row and ends at the last row.

By default "asc" is used.

Window functions with a similar behavior: RSUM, RCOUNT, RMIN, RMAX.

## RCOUNT

Syntax:
RCOUNT( value [ , direction ] )
or
RCOUNT( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the count of all values in a growing (or shrinking) window defined by the sort order and the value of direction:

direction Window
"asc" Starts from the first row and ends at the current row.
"desc" Starts from the current row and ends at the last row.

By default "asc" is used.

Window functions with a similar behavior: RSUM, RMIN, RMAX, RAVG.

## RMAX

Syntax:
RMAX( value [ , direction ] )
or
RMAX( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the maximum of all values in a growing (or shrinking) window defined by the sort order and the value of direction:

direction Window
"asc" Starts from the first row and ends at the current row.
"desc" Starts from the current row and ends at the last row.

By default "asc" is used.

Window functions with a similar behavior: RSUM, RCOUNT, RMIN, RAVG.

## RMIN

Syntax:
RMIN( value [ , direction ] )
or
RMIN( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the minimum of all values in a growing (or shrinking) window defined by the sort order and the value of direction:

direction Window
"asc" Starts from the first row and ends at the current row.
"desc" Starts from the current row and ends at the last row.

By default "asc" is used.

Window functions with a similar behavior: RSUM, RCOUNT, RMAX, RAVG.

## RSUM

Syntax:
RSUM( value [ , direction ] )
or
RSUM( value [ , direction ] [ TOTAL | WITHIN ... | AMONG ... ] [ ORDER BY ... ] [ BEFORE FILTER BY ... ] )

Returns the sum of all values in a growing (or shrinking) window defined by the sort order and the value of direction:

direction Window
"asc" Starts from the first row and ends at the current row.
"desc" Starts from the current row and ends at the last row.

By default "asc" is used.

Window functions with a similar behavior: RCOUNT, RMIN, RMAX, RAVG.

## SUM

Syntax:
SUM( value TOTAL | WITHIN ... | AMONG ... )
or
SUM( value TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the sum of all expression values. Applicable to numeric data types only.

## SUM_IF

Syntax:
SUM_IF( expression, condition TOTAL | WITHIN ... | AMONG ... )
or
SUM_IF( expression, condition TOTAL | WITHIN ... | AMONG ... [ BEFORE FILTER BY ... ] )

Returns the sum of all the expression values that meet the condition condition. Applicable to numeric data types only.