--- id: math-expr title: "Expressions" --- > This feature is still experimental. It has not been optimized for performance yet, and its implementation is known to > have significant inefficiencies. This expression language supports the following operators (listed in decreasing order of precedence). |Operators|Description| |---------|-----------| |!, -|Unary NOT and Minus| |^|Binary power op| |*, /, %|Binary multiplicative| |+, -|Binary additive| |<, <=, >, >=, ==, !=|Binary Comparison| |&&, |||Binary Logical AND, OR| Long, double, and string data types are supported. If a number contains a dot, it is interpreted as a double, otherwise it is interpreted as a long. That means, always add a '.' to your number if you want it interpreted as a double value. String literals should be quoted by single quotation marks. Additionally, the expression language supports long, double, and string arrays. Array literals are created by wrapping square brackets around a list of scalar literals values delimited by a comma or space character. All values in an array literal must be the same type. Expressions can contain variables. Variable names may contain letters, digits, '\_' and '$'. Variable names must not begin with a digit. To escape other special characters, you can quote it with double quotation marks. For logical operators, a number is true if and only if it is positive (0 or negative value means false). For string type, it's the evaluation result of 'Boolean.valueOf(string)'. [Multi-value string dimensions](../querying/multi-value-dimensions.html) are supported and may be treated as either scalar or array typed values. When treated as a scalar type, an expression will automatically be transformed to apply the scalar operation across all values of the multi-valued type, to mimic Druid's native behavior. Values that result in arrays will be coerced back into the native Druid string type for aggregation. Druid aggregations on multi-value string dimensions on the individual values, _not_ the 'array', behaving similar to the `UNNEST` operator available in many SQL dialects. However, by using the `array_to_string` function, aggregations may be done on a stringified version of the complete array, allowing the complete row to be preserved. Using `string_to_array` in an expression post-aggregator, allows transforming the stringified dimension back into the true native array type. The following built-in functions are available. ## General functions |name|description| |----|-----------| |cast|cast(expr,'LONG' or 'DOUBLE' or 'STRING' or 'LONG_ARRAY', or 'DOUBLE_ARRAY' or 'STRING_ARRAY') returns expr with specified type. exception can be thrown. Scalar types may be cast to array types and will take the form of a single element list (null will still be null). | |if|if(predicate,then,else) returns 'then' if 'predicate' evaluates to a positive number, otherwise it returns 'else' | |nvl|nvl(expr,expr-for-null) returns 'expr-for-null' if 'expr' is null (or empty string for string type) | |like|like(expr, pattern[, escape]) is equivalent to SQL `expr LIKE pattern`| |case_searched|case_searched(expr1, result1, \[\[expr2, result2, ...\], else-result\])| |case_simple|case_simple(expr, value1, result1, \[\[value2, result2, ...\], else-result\])| |bloom_filter_test|bloom_filter_test(expr, filter) tests the value of 'expr' against 'filter', a bloom filter serialized as a base64 string. See [bloom filter extension](../development/extensions-core/bloom-filter.md) documentation for additional details.| ## String functions |name|description| |----|-----------| |concat|concat(expr, expr...) concatenate a list of strings| |format|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...-).| |like|like(expr, pattern[, escape]) is equivalent to SQL `expr LIKE pattern`| |lookup|lookup(expr, lookup-name) looks up expr in a registered [query-time lookup](../querying/lookups.md)| |parse_long|parse_long(string[, radix]) parses a string as a long with the given radix, or 10 (decimal) if a radix is not provided.| |regexp_extract|regexp_extract(expr, pattern[, index]) applies a regular expression pattern and extracts a capture group index, or null if there is no match. If index is unspecified or zero, returns the substring that matched the pattern.| |replace|replace(expr, pattern, replacement) replaces pattern with replacement| |substring|substring(expr, index, length) behaves like java.lang.String's substring| |right|right(expr, length) returns the rightmost length characters from a string| |left|left(expr, length) returns the leftmost length characters from a string| |strlen|strlen(expr) returns length of a string in UTF-16 code units| |strpos|strpos(haystack, needle[, fromIndex]) returns the position of the needle within the haystack, with indexes starting from 0. The search will begin at fromIndex, or 0 if fromIndex is not specified. If the needle is not found then the function returns -1.| |trim|trim(expr[, chars]) remove leading and trailing characters from `expr` if they are present in `chars`. `chars` defaults to ' ' (space) if not provided.| |ltrim|ltrim(expr[, chars]) remove leading characters from `expr` if they are present in `chars`. `chars` defaults to ' ' (space) if not provided.| |rtrim|rtrim(expr[, chars]) remove trailing characters from `expr` if they are present in `chars`. `chars` defaults to ' ' (space) if not provided.| |lower|lower(expr) converts a string to lowercase| |upper|upper(expr) converts a string to uppercase| |reverse|reverse(expr) reverses a string| |repeat|repeat(expr, N) repeats a string N times| |lpad|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`. If either `expr` or `chars` are null, the result will be null.| |rpad|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`. If either `expr` or `chars` are null, the result will be null.| ## Time functions |name|description| |----|-----------| |timestamp|timestamp(expr[,format-string]) parses string expr into date then returns milliseconds from java epoch. without 'format-string' it's regarded as ISO datetime format | |unix_timestamp|same with 'timestamp' function but returns seconds instead | |timestamp_ceil|timestamp_ceil(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). The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".| |timestamp_floor|timestamp_floor(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). The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".| |timestamp_shift|timestamp_shift(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".| |timestamp_extract|timestamp_extract(expr, unit, \[timezone\]) extracts a time part from expr, returning it as a number. Unit can be EPOCH (number of seconds since 1970-01-01 00:00:00 UTC), 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"| |timestamp_parse|timestamp_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). If the pattern is not provided, this parses time strings in either ISO8601 or SQL format. 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 nulls.| |timestamp_format|timestamp_format(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 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.| ## Math functions See javadoc of java.lang.Math for detailed explanation for each function. |name|description| |----|-----------| |abs|abs(x) would return the absolute value of x| |acos|acos(x) would return the arc cosine of x| |asin|asin(x) would return the arc sine of x| |atan|atan(x) would return the arc tangent of x| |atan2|atan2(y, x) would return the angle theta from the conversion of rectangular coordinates (x, y) to polar * coordinates (r, theta)| |cbrt|cbrt(x) would return the cube root of x| |ceil|ceil(x) would return the smallest (closest to negative infinity) double value that is greater than or equal to x and is equal to a mathematical integer| |copysign|copysign(x) would return the first floating-point argument with the sign of the second floating-point argument| |cos|cos(x) would return the trigonometric cosine of x| |cosh|cosh(x) would return the hyperbolic cosine of x| |cot|cot(x) would return the trigonometric cotangent of an angle x| |div|div(x,y) is integer division of x by y| |exp|exp(x) would return Euler's number raised to the power of x| |expm1|expm1(x) would return e^x-1| |floor|floor(x) would return the largest (closest to positive infinity) double value that is less than or equal to x and is equal to a mathematical integer| |getExponent|getExponent(x) would return the unbiased exponent used in the representation of x| |hypot|hypot(x, y) would return sqrt(x^2+y^2) without intermediate overflow or underflow| |log|log(x) would return the natural logarithm of x| |log10|log10(x) would return the base 10 logarithm of x| |log1p|log1p(x) would the natural logarithm of x + 1| |max|max(x, y) would return the greater of two values| |min|min(x, y) would return the smaller of two values| |nextafter|nextafter(x, y) would return the floating-point number adjacent to the x in the direction of the y| |nextUp|nextUp(x) would return the floating-point value adjacent to x in the direction of positive infinity| |pi|pi would return the constant value of the π | |pow|pow(x, y) would return the value of the x raised to the power of y| |remainder|remainder(x, y) would return the remainder operation on two arguments as prescribed by the IEEE 754 standard| |rint|rint(x) would return value that is closest in value to x and is equal to a mathematical integer| |round|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.| |scalb|scalb(d, sf) would return d * 2^sf rounded as if performed by a single correctly rounded floating-point multiply to a member of the double value set| |signum|signum(x) would return the signum function of the argument x| |sin|sin(x) would return the trigonometric sine of an angle x| |sinh|sinh(x) would return the hyperbolic sine of x| |sqrt|sqrt(x) would return the correctly rounded positive square root of x| |tan|tan(x) would return the trigonometric tangent of an angle x| |tanh|tanh(x) would return the hyperbolic tangent of x| |todegrees|todegrees(x) converts an angle measured in radians to an approximately equivalent angle measured in degrees| |toradians|toradians(x) converts an angle measured in degrees to an approximately equivalent angle measured in radians| |ulp|ulp(x) would return the size of an ulp of the argument x| ## Array functions | function | description | | --- | --- | | array(expr1,expr ...) | constructs an array from the expression arguments, using the type of the first argument as the output array type | | array_length(arr) | returns length of array expression | | array_offset(arr,long) | returns the array element at the 0 based index supplied, or null for an out of range index| | array_ordinal(arr,long) | returns the array element at the 1 based index supplied, or null for an out of range index | | array_contains(arr,expr) | returns 1 if the array contains the element specified by expr, or contains all elements specified by expr if expr is an array, else 0 | | array_overlap(arr1,arr2) | returns 1 if arr1 and arr2 have any elements in common, else 0 | | array_offset_of(arr,expr) | returns the 0 based index of the first occurrence of expr in the array, or `-1` or `null` if `druid.generic.useDefaultValueForNull=false`if no matching elements exist in the array. | | array_ordinal_of(arr,expr) | returns the 1 based index of the first occurrence of expr in the array, or `-1` or `null` if `druid.generic.useDefaultValueForNull=false` if no matching elements exist in the array. | | array_prepend(expr,arr) | adds expr to arr at the beginning, the resulting array type determined by the type of the array | | array_append(arr1,expr) | appends expr to arr, the resulting array type determined by the type of the first array | | array_concat(arr1,arr2) | concatenates 2 arrays, the resulting array type determined by the type of the first array | | array_slice(arr,start,end) | return the subarray of arr from the 0 based index start(inclusive) to end(exclusive), or `null`, if start is less than 0, greater than length of arr or less than end| | array_to_string(arr,str) | joins all elements of arr by the delimiter specified by str | | string_to_array(str1,str2) | splits str1 into an array on the delimiter specified by str2 | ## Apply functions | function | description | | --- | --- | | map(lambda,arr) | applies a transform specified by a single argument lambda expression to all elements of arr, returning a new array | | cartesian_map(lambda,arr1,arr2,...) | applies a transform specified by a multi argument lambda expression to all elements of the Cartesian product of all input arrays, returning a new array; the number of lambda arguments and array inputs must be the same | | filter(lambda,arr) | filters arr by a single argument lambda, returning a new array with all matching elements, or null if no elements match | | fold(lambda,arr) | folds a 2 argument lambda across arr. The first argument of the lambda is the array element and the second the accumulator, returning a single accumulated value. | | cartesian_fold(lambda,arr1,arr2,...) | folds a multi argument lambda across the Cartesian product of all input arrays. The first arguments of the lambda is the array element and the last is the accumulator, returning a single accumulated value. | | any(lambda,arr) | returns 1 if any element in the array matches the lambda expression, else 0 | | all(lambda,arr) | returns 1 if all elements in the array matches the lambda expression, else 0 | ## IP address functions For the IPv4 address functions, the `address` argument can either be an IPv4 dotted-decimal string (e.g., "192.168.0.1") or an IP address represented as a long (e.g., 3232235521). The `subnet` argument should be a string formatted as an IPv4 address subnet in CIDR notation (e.g., "192.168.0.0/16"). | function | description | | --- | --- | | ipv4_match(address, subnet) | Returns 1 if the `address` belongs to the `subnet` literal, else 0. If `address` is not a valid IPv4 address, then 0 is returned. This function is more efficient if `address` is a long instead of a string.| | ipv4_parse(address) | Parses `address` into an IPv4 address stored as a long. If `address` is a long that is a valid IPv4 address, then it is passed through. Returns null if `address` cannot be represented as an IPv4 address. | | ipv4_stringify(address) | Converts `address` into an IPv4 address dotted-decimal string. If `address` is a string that is a valid IPv4 address, then it is passed through. Returns null if `address` cannot be represented as an IPv4 address.|