[docs] fixes to sql-scalar.md (#16826)

Co-authored-by: Victoria Lim <vtlim@users.noreply.github.com>
Co-authored-by: Katya Macedo  <38017980+ektravel@users.noreply.github.com>
Co-authored-by: Benedict Jin <asdf2014@apache.org>
Co-authored-by: Katya Macedo <38017980+ektravel@users.noreply.github.com>
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@ -56,9 +56,9 @@ to FLOAT. At runtime, Druid will widen 32-bit floats to 64-bit for most expressi
|`LOG10(expr)`|Logarithm (base 10).|
|`POWER(expr, power)`|`expr` raised to the power of `power`.|
|`SQRT(expr)`|Square root.|
|`TRUNCATE(expr, [digits])`|Truncate `expr` to a specific number of decimal digits. If digits is negative, then this truncates that many places to the left of the decimal point. Digits defaults to zero if not specified.|
|`TRUNC(expr, [digits])`|Alias for `TRUNCATE`.|
|`ROUND(expr, [digits])`|`ROUND(x, y)` would return the value of the x rounded to the y decimal places. While x can be an integer or floating-point number, y must be an integer. The type of the return value is specified by that of x. y defaults to 0 if omitted. When y is negative, x is rounded on the left side of the y decimal points. If `expr` evaluates to either `NaN`, `expr` will be converted to 0. If `expr` is infinity, `expr` will be converted to the nearest finite double. |
|`TRUNCATE(expr[, digits])`|Truncates `expr` to a specific number of decimal digits. If `digits` is negative, then this truncates that many places to the left of the decimal point. If not specified, `digits` defaults to zero.|
|`TRUNC(expr[, digits])`|Alias for `TRUNCATE`.|
|`ROUND(expr[, digits])`|Rounds `expr` to a specific number of decimal digits. If `digits` is negative, then it rounds that many places to the left of the decimal point. If not specified, `digits` defaults to zero.|
|`MOD(x, y)`|Modulo (remainder of x divided by y).|
|`SIN(expr)`|Trigonometric sine of an angle `expr`.|
|`COS(expr)`|Trigonometric cosine of an angle `expr`.|
@ -79,50 +79,50 @@ to FLOAT. At runtime, Druid will widen 32-bit floats to 64-bit for most expressi
|`BITWISE_SHIFT_RIGHT(expr1, expr2)`|Returns the result of `expr1 >> expr2`. Double values will be implicitly cast to longs, use `BITWISE_CONVERT_DOUBLE_TO_LONG_BITS` to perform bitwise operations directly with doubles.|
|`BITWISE_XOR(expr1, expr2)`|Returns the result of `expr1 ^ expr2`. Double values will be implicitly cast to longs, use `BITWISE_CONVERT_DOUBLE_TO_LONG_BITS` to perform bitwise operations directly with doubles.|
|`DIV(x, y)`|Returns the result of integer division of x by y |
|`HUMAN_READABLE_BINARY_BYTE_FORMAT(value, [precision])`| Format a number in human-readable [IEC](https://en.wikipedia.org/wiki/Binary_prefix) format. For example, HUMAN_READABLE_BINARY_BYTE_FORMAT(1048576) returns `1.00 MiB`. `precision` must be in the range of `[0, 3]` (default: 2). |
|`HUMAN_READABLE_DECIMAL_BYTE_FORMAT(value, [precision])`| Format a number in human-readable [SI](https://en.wikipedia.org/wiki/Binary_prefix) format. HUMAN_READABLE_DECIMAL_BYTE_FORMAT(1048576) returns `1.04 MB`. `precision` must be in the range of `[0, 3]` (default: 2). `precision` must be in the range of `[0, 3]` (default: 2). |
|`HUMAN_READABLE_DECIMAL_FORMAT(value, [precision])`| Format a number in human-readable SI format. For example, HUMAN_READABLE_DECIMAL_FORMAT(1048576) returns `1.04 M`. `precision` must be in the range of `[0, 3]` (default: 2). |
|`HUMAN_READABLE_BINARY_BYTE_FORMAT(value[, precision])`| Formats a number in human-readable [IEC](https://en.wikipedia.org/wiki/Binary_prefix) format. For example, `HUMAN_READABLE_BINARY_BYTE_FORMAT(1048576)` returns `1.00 MiB`. `precision` must be in the range of `[0, 3]`. If not specified, `precision` defaults to 2. |
|`HUMAN_READABLE_DECIMAL_BYTE_FORMAT(value[, precision])`| Formats a number in human-readable [SI](https://en.wikipedia.org/wiki/Binary_prefix) format. For example, `HUMAN_READABLE_DECIMAL_BYTE_FORMAT(1048576)` returns `1.04 MB`. `precision` must be in the range of `[0, 3]`. If not specified, `precision` defaults to 2. |
|`HUMAN_READABLE_DECIMAL_FORMAT(value[, precision])`| Formats a number in human-readable [SI](https://en.wikipedia.org/wiki/Binary_prefix) format. For example, `HUMAN_READABLE_DECIMAL_FORMAT(1048576)` returns `1.04 M`. `precision` must be in the range of `[0, 3]`. If not specified, `precision` defaults to 2. |
|`SAFE_DIVIDE(x, y)`|Returns the division of x by y guarded on division by 0. In case y is 0 it returns 0, or `null` if `druid.generic.useDefaultValueForNull=false` |
## String functions
String functions accept strings, and return a type appropriate to the function.
String functions accept strings and return a type appropriate to the function.
|Function|Notes|
|--------|-----|
|`CONCAT(expr, expr...)`|Concats a list of expressions. Also see the [concatenation operator](sql-operators.md#concatenation-operator).|
|`TEXTCAT(expr, expr)`|Two argument version of `CONCAT`.|
|`CONCAT(expr[, expr, ...])`|Concatenates a list of expressions. Also see the [concatenation operator](sql-operators.md#concatenation-operator).|
|`TEXTCAT(expr, expr)`|Concatenates two expressions.|
|`CONTAINS_STRING(expr, str)`|Returns true if the `str` is a substring of `expr`.|
|`ICONTAINS_STRING(expr, str)`|Returns true if the `str` is a substring of `expr`. The match is case-insensitive.|
|`DECODE_BASE64_UTF8(expr)`|Decodes a Base64-encoded string into a UTF-8 encoded string.|
|`LEFT(expr, [length])`|Returns the leftmost length characters from `expr`.|
|`RIGHT(expr, [length])`|Returns the rightmost length characters from `expr`.|
|`LEFT(expr, N)`|Returns the `N` leftmost characters from `expr`, where `N` is an integer. |
|`RIGHT(expr, N)`|Returns the `N` rightmost characters from `expr`, where `N` is an integer. |
|`LENGTH(expr)`|Length of `expr` in UTF-16 code units.|
|`CHAR_LENGTH(expr)`|Alias for `LENGTH`.|
|`CHARACTER_LENGTH(expr)`|Alias for `LENGTH`.|
|`STRLEN(expr)`|Alias for `LENGTH`.|
|`LOOKUP(expr, lookupName, [replaceMissingValueWith])`|Look up `expr` in a registered [query-time lookup table](lookups.md) named `lookupName`. The optional constant `replaceMissingValueWith`, if provided, is returned when the `expr` is null or when the lookup does not contain a value for `expr`.<br /><br />Lookups can also be queried directly using the [`lookup` schema](sql.md#from).|
|`LOOKUP(expr, lookupName[, replaceMissingValueWith])`|Looks up `expr` in an existing [query-time lookup table](lookups.md) that has the name `lookupName`. Returns the optional constant `replaceMissingValueWith` when `expr` is null or when the lookup does not contain a value for `expr`.<br /><br />You can query lookups directly using the [`lookup` schema](sql.md#from).|
|`LOWER(expr)`|Returns `expr` in all lowercase.|
|`UPPER(expr)`|Returns `expr` in all uppercase.|
|`LPAD(expr, length, [chars])`|Returns a string of `length` from `expr` left-padded with `chars`. If `length` is shorter than the length of `expr`, the result is `expr` which is truncated to `length`. The result will be null if either `expr` or `chars` is null. If `chars` is an empty string, no padding is added, however `expr` may be trimmed if necessary.|
|`RPAD(expr, length, [chars])`|Returns a string of `length` from `expr` right-padded with `chars`. If `length` is shorter than the length of `expr`, the result is `expr` which is truncated to `length`. The result will be null if either `expr` or `chars` is null. If `chars` is an empty string, no padding is added, however `expr` may be trimmed if necessary.|
|`PARSE_LONG(string, [radix])`|Parses a string into a long (BIGINT) with the given radix, or 10 (decimal) if a radix is not provided.|
|`POSITION(needle IN haystack [FROM fromIndex])`|Returns the index of `needle` within `haystack`, with indexes starting from 1. The search will begin at `fromIndex`, or 1 if `fromIndex` is not specified. If `needle` is not found, returns 0.|
|`REGEXP_EXTRACT(expr, pattern, [index])`|Apply regular expression `pattern` to `expr` and extract a capture group, or `NULL` if there is no match. If index is unspecified or zero, returns the first substring that matched the pattern. The pattern may match anywhere inside `expr`; if you want to match the entire string instead, use the `^` and `$` markers at the start and end of your pattern. Note: when `druid.generic.useDefaultValueForNull = true`, it is not possible to differentiate an empty-string match from a non-match (both will return `NULL`).|
|`LPAD(expr, length[, chars])`|Returns a string of `length` from `expr` left-padded with `chars`. If `length` is shorter than the length of `expr`, the result is `expr` which is truncated to `length`. The result is null if either `expr` or `chars` is null. If `chars` is an empty string, no padding is added; however, `expr` may be trimmed if necessary.|
|`RPAD(expr, length[, chars])`|Returns a string of `length` from `expr` right-padded with `chars`. If `length` is shorter than the length of `expr`, the result is `expr` which is truncated to `length`. The result is null if either `expr` or `chars` is null. If `chars` is an empty string, no padding is added; however, `expr` may be trimmed if necessary.|
|`PARSE_LONG(string[, radix])`|Parses a string into a long (BIGINT) with the given radix or 10 (decimal) if a radix is not provided.|
|`POSITION(substring IN expr [FROM startingIndex])`|Returns the index of `substring` within `expr` with indexes starting from 1. The search begins at `startingIndex`. If `startingIndex` is not specified, the default is 1. If `substring` is not found, returns 0.|
|`REGEXP_EXTRACT(expr, pattern[, index])`|Apply regular expression `pattern` to `expr` and extract a capture group or `NULL` if there is no match. If `index` is unspecified or zero, returns the first substring that matched the pattern. The pattern may match anywhere inside `expr`. To match the entire string, use the `^` and `$` markers at the start and end of your pattern. When `druid.generic.useDefaultValueForNull = true`, it is not possible to differentiate an empty-string match from a non-match (both return `NULL`).|
|`REGEXP_LIKE(expr, pattern)`|Returns whether `expr` matches regular expression `pattern`. The pattern may match anywhere inside `expr`; if you want to match the entire string instead, use the `^` and `$` markers at the start and end of your pattern. Similar to [`LIKE`](sql-operators.md#logical-operators), but uses regexps instead of LIKE patterns. Especially useful in WHERE clauses.|
|`REGEXP_REPLACE(expr, pattern, replacement)`|Replaces all occurrences of regular expression `pattern` within `expr` with `replacement`. The replacement string may refer to capture groups using `$1`, `$2`, etc. The pattern may match anywhere inside `expr`; if you want to match the entire string instead, use the `^` and `$` markers at the start and end of your pattern.|
|`REPLACE(expr, pattern, replacement)`|Replaces pattern with replacement in `expr`, and returns the result.|
|`REPEAT(expr, [N])`|Repeats `expr` N times.|
|`REPEAT(expr, N)`|Repeats `expr` `N` times.|
|`REVERSE(expr)`|Reverses `expr`.|
|`STRING_FORMAT(pattern, [args...])`|Returns a string formatted in the manner of Java's [String.format](https://docs.oracle.com/javase/8/docs/api/java/lang/String.html#format-java.lang.String-java.lang.Object...-).|
|`STRING_FORMAT(pattern[, args...])`|Returns a string formatted in the manner of Java's [String.format](https://docs.oracle.com/javase/8/docs/api/java/lang/String.html#format-java.lang.String-java.lang.Object...-).|
|`STRPOS(haystack, needle)`|Returns the index of `needle` within `haystack`, with indexes starting from 1. If `needle` is not found, returns 0.|
|`SUBSTRING(expr, index, [length])`|Returns a substring of `expr` starting at index, with a max length, both measured in UTF-16 code units.|
|`SUBSTR(expr, index, [length])`|Alias for `SUBSTRING`.|
|`SUBSTRING(expr, index[, length])`|Returns a substring of `expr` starting at `index`, with a max `length`, both measured in UTF-16 code units.|
|`SUBSTR(expr, index[, length])`|Alias for `SUBSTRING`.|
|`TRIM([BOTH `<code>&#124;</code>` LEADING `<code>&#124;</code>` TRAILING] [chars FROM] expr)`|Returns `expr` with characters removed from the leading, trailing, or both ends of `expr` if they are in `chars`. If `chars` is not provided, it defaults to `''` (a space). If the directional argument is not provided, it defaults to `BOTH`.|
|`BTRIM(expr, [chars])`|Alternate form of `TRIM(BOTH chars FROM expr)`.|
|`LTRIM(expr, [chars])`|Alternate form of `TRIM(LEADING chars FROM expr)`.|
|`RTRIM(expr, [chars])`|Alternate form of `TRIM(TRAILING chars FROM expr)`.|
|`BTRIM(expr[, chars])`|Alternate form of `TRIM(BOTH chars FROM expr)`.|
|`LTRIM(expr[, chars])`|Alternate form of `TRIM(LEADING chars FROM expr)`.|
|`RTRIM(expr[, chars])`|Alternate form of `TRIM(TRAILING chars FROM expr)`.|
## Date and time functions
@ -163,12 +163,12 @@ overhead.
|`CURRENT_TIMESTAMP`|Current timestamp in the connection's time zone.|
|`CURRENT_DATE`|Current date in the connection's time zone.|
|`DATE_TRUNC(unit, timestamp_expr)`|Rounds down a timestamp, returning it as a new timestamp. Unit can be 'milliseconds', 'second', 'minute', 'hour', 'day', 'week', 'month', 'quarter', 'year', 'decade', 'century', or 'millennium'.|
|`TIME_CEIL(timestamp_expr, period, [origin, [timezone]])`|Rounds up a timestamp, returning it as a new timestamp. Period can be any ISO8601 period, like P3M (quarters) or PT12H (half-days). Specify `origin` as a timestamp to set the reference time for rounding. For example, `TIME_CEIL(__time, 'PT1H', TIMESTAMP '2016-06-27 00:30:00')` measures an hourly period from 00:30-01:30 instead of 00:00-01:00. See [Period granularities](granularities.md) for details on the default starting boundaries. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". This function is similar to `CEIL` but is more flexible.|
|`TIME_FLOOR(timestamp_expr, period, [origin, [timezone]])`|Rounds down a timestamp, returning it as a new timestamp. Period can be any ISO8601 period, like P3M (quarters) or PT12H (half-days). Specify `origin` as a timestamp to set the reference time for rounding. For example, `TIME_FLOOR(__time, 'PT1H', TIMESTAMP '2016-06-27 00:30:00')` measures an hourly period from 00:30-01:30 instead of 00:00-01:00. See [Period granularities](granularities.md) for details on the default starting boundaries. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". This function is similar to `FLOOR` but is more flexible.|
|`TIME_SHIFT(timestamp_expr, period, step, [timezone])`|Shifts a timestamp by a period (step times), returning it as a new timestamp. Period can be any ISO8601 period. Step may be negative. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".|
|`TIME_EXTRACT(timestamp_expr, [unit, [timezone]])`|Extracts a time part from `expr`, returning it as a number. Unit can be EPOCH, SECOND, MINUTE, HOUR, DAY (day of month), DOW (day of week), DOY (day of year), WEEK (week of [week year](https://en.wikipedia.org/wiki/ISO_week_date)), MONTH (1 through 12), QUARTER (1 through 4), or YEAR. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". This function is similar to `EXTRACT` but is more flexible. Unit and time zone must be literals, and must be provided quoted, like `TIME_EXTRACT(__time, 'HOUR')` or `TIME_EXTRACT(__time, 'HOUR', 'America/Los_Angeles')`.|
|`TIME_PARSE(string_expr, [pattern, [timezone]])`|Parses a string into a timestamp using a given [Joda DateTimeFormat pattern](http://www.joda.org/joda-time/apidocs/org/joda/time/format/DateTimeFormat.html), or ISO8601 (e.g. `2000-01-02T03:04:05Z`) if the pattern is not provided. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00", and will be used as the time zone for strings that do not include a time zone offset. Pattern and time zone must be literals. Strings that cannot be parsed as timestamps will be returned as NULL.|
|`TIME_FORMAT(timestamp_expr, [pattern, [timezone]])`|Formats a timestamp as a string with a given [Joda DateTimeFormat pattern](http://www.joda.org/joda-time/apidocs/org/joda/time/format/DateTimeFormat.html), or ISO8601 (e.g. `2000-01-02T03:04:05Z`) if the pattern is not provided. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". Pattern and time zone must be literals.|
|`TIME_CEIL(timestamp_expr, period[, origin[, timezone]])`|Rounds up a timestamp, returning it as a new timestamp. Period can be any ISO8601 period, like P3M (quarters) or PT12H (half-days). Specify `origin` as a timestamp to set the reference time for rounding. For example, `TIME_CEIL(__time, 'PT1H', TIMESTAMP '2016-06-27 00:30:00')` measures an hourly period from 00:30-01:30 instead of 00:00-01:00. See [Period granularities](granularities.md) for details on the default starting boundaries. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". This function is similar to `CEIL` but is more flexible.|
|`TIME_FLOOR(timestamp_expr, period[, origin[, timezone]])`|Rounds down a timestamp, returning it as a new timestamp. Period can be any ISO8601 period, like P3M (quarters) or PT12H (half-days). Specify `origin` as a timestamp to set the reference time for rounding. For example, `TIME_FLOOR(__time, 'PT1H', TIMESTAMP '2016-06-27 00:30:00')` measures an hourly period from 00:30-01:30 instead of 00:00-01:00. See [Period granularities](granularities.md) for details on the default starting boundaries. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". This function is similar to `FLOOR` but is more flexible.|
|`TIME_SHIFT(timestamp_expr, period, step[, timezone])`|Shifts a timestamp by a period (step times), returning it as a new timestamp. Period can be any ISO8601 period. Step may be negative. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".|
|`TIME_EXTRACT(timestamp_expr[, unit[, timezone]])`|Extracts a time part from `expr`, returning it as a number. Unit can be EPOCH, SECOND, MINUTE, HOUR, DAY (day of month), DOW (day of week), DOY (day of year), WEEK (week of [week year](https://en.wikipedia.org/wiki/ISO_week_date)), MONTH (1 through 12), QUARTER (1 through 4), or YEAR. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". This function is similar to `EXTRACT` but is more flexible. Unit and time zone must be literals, and must be provided quoted, like `TIME_EXTRACT(__time, 'HOUR')` or `TIME_EXTRACT(__time, 'HOUR', 'America/Los_Angeles')`.|
|`TIME_PARSE(string_expr[, pattern[, timezone]])`|Parses a string into a timestamp using a given [Joda DateTimeFormat pattern](http://www.joda.org/joda-time/apidocs/org/joda/time/format/DateTimeFormat.html), or ISO8601 (e.g. `2000-01-02T03:04:05Z`) if the pattern is not provided. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00", and will be used as the time zone for strings that do not include a time zone offset. Pattern and time zone must be literals. Strings that cannot be parsed as timestamps will be returned as NULL.|
|`TIME_FORMAT(timestamp_expr[, pattern[, timezone]])`|Formats a timestamp as a string with a given [Joda DateTimeFormat pattern](http://www.joda.org/joda-time/apidocs/org/joda/time/format/DateTimeFormat.html), or ISO8601 (e.g. `2000-01-02T03:04:05Z`) if the pattern is not provided. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". Pattern and time zone must be literals.|
|`TIME_IN_INTERVAL(timestamp_expr, interval)`|Returns whether a timestamp is contained within a particular interval. The interval must be a literal string containing any ISO8601 interval, such as `'2001-01-01/P1D'` or `'2001-01-01T01:00:00/2001-01-02T01:00:00'`. The start instant of the interval is inclusive and the end instant is exclusive.|
|`MILLIS_TO_TIMESTAMP(millis_expr)`|Converts a number of milliseconds since the epoch (1970-01-01 00:00:00 UTC) into a timestamp.|
|`TIMESTAMP_TO_MILLIS(timestamp_expr)`|Converts a timestamp into a number of milliseconds since the epoch.|
@ -223,8 +223,8 @@ The [DataSketches extension](../development/extensions-core/datasketches-extensi
|Function|Notes|
|--------|-----|
|`HLL_SKETCH_ESTIMATE(expr, [round])`|Returns the distinct count estimate from an HLL sketch. `expr` must return an HLL sketch. The optional `round` boolean parameter will round the estimate if set to `true`, with a default of `false`.|
|`HLL_SKETCH_ESTIMATE_WITH_ERROR_BOUNDS(expr, [numStdDev])`|Returns the distinct count estimate and error bounds from an HLL sketch. `expr` must return an HLL sketch. An optional `numStdDev` argument can be provided.|
|`HLL_SKETCH_ESTIMATE(expr[, round])`|Returns the distinct count estimate from an HLL sketch. `expr` must return an HLL sketch. The optional `round` boolean parameter will round the estimate if set to `true`, with a default of `false`.|
|`HLL_SKETCH_ESTIMATE_WITH_ERROR_BOUNDS(expr[, numStdDev])`|Returns the distinct count estimate and error bounds from an HLL sketch. `expr` must return an HLL sketch. An optional `numStdDev` argument can be provided.|
|`HLL_SKETCH_UNION([lgK, tgtHllType], expr0, expr1, ...)`|Returns a union of HLL sketches, where each input expression must return an HLL sketch. The `lgK` and `tgtHllType` can be optionally specified as the first parameter; if provided, both optional parameters must be specified.|
|`HLL_SKETCH_TO_STRING(expr)`|Returns a human-readable string representation of an HLL sketch for debugging. `expr` must return an HLL sketch.|
@ -263,9 +263,9 @@ The [DataSketches extension](../development/extensions-core/datasketches-extensi
|Function|Notes|Default|
|--------|-----|-------|
|`DS_TUPLE_DOUBLES_METRICS_SUM_ESTIMATE(expr)`|Computes approximate sums of the values contained within a [Tuple sketch](../development/extensions-core/datasketches-tuple.md#estimated-metrics-values-for-each-column-of-arrayofdoublessketch) column which contains an array of double values as its Summary Object.
|`DS_TUPLE_DOUBLES_INTERSECT(expr, ..., [nominalEntries])`|Returns an intersection of tuple sketches, where each input expression must return a tuple sketch which contains an array of double values as its Summary Object. The values contained in the Summary Objects are summed when combined. If the last value of the array is a numeric literal, Druid assumes that the value is an override parameter for [nominal entries](../development/extensions-core/datasketches-tuple.md).|
|`DS_TUPLE_DOUBLES_NOT(expr, ..., [nominalEntries])`|Returns a set difference of tuple sketches, where each input expression must return a tuple sketch which contains an array of double values as its Summary Object. The values contained in the Summary Object are preserved as is. If the last value of the array is a numeric literal, Druid assumes that the value is an override parameter for [nominal entries](../development/extensions-core/datasketches-tuple.md).|
|`DS_TUPLE_DOUBLES_UNION(expr, ..., [nominalEntries])`|Returns a union of tuple sketches, where each input expression must return a tuple sketch which contains an array of double values as its Summary Object. The values contained in the Summary Objects are summed when combined. If the last value of the array is a numeric literal, Druid assumes that the value is an override parameter for [nominal entries](../development/extensions-core/datasketches-tuple.md).|
|`DS_TUPLE_DOUBLES_INTERSECT(expr, ...[, nominalEntries])`|Returns an intersection of tuple sketches, where each input expression must return a tuple sketch which contains an array of double values as its Summary Object. The values contained in the Summary Objects are summed when combined. If the last value of the array is a numeric literal, Druid assumes that the value is an override parameter for [nominal entries](../development/extensions-core/datasketches-tuple.md).|
|`DS_TUPLE_DOUBLES_NOT(expr, ...[, nominalEntries])`|Returns a set difference of tuple sketches, where each input expression must return a tuple sketch which contains an array of double values as its Summary Object. The values contained in the Summary Object are preserved as is. If the last value of the array is a numeric literal, Druid assumes that the value is an override parameter for [nominal entries](../development/extensions-core/datasketches-tuple.md).|
|`DS_TUPLE_DOUBLES_UNION(expr, ...[, nominalEntries])`|Returns a union of tuple sketches, where each input expression must return a tuple sketch which contains an array of double values as its Summary Object. The values contained in the Summary Objects are summed when combined. If the last value of the array is a numeric literal, Druid assumes that the value is an override parameter for [nominal entries](../development/extensions-core/datasketches-tuple.md).|
## Other scalar functions