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The documentation below is generated from the system.functions system table.

dotProduct

Introduced in: v21.11.0 Calculates the dot product (scalar product) of two vectors (tuples or arrays of equal size). Returns the sum of the products of the corresponding elements. Syntax
Aliases: scalarProduct Arguments Returned value Returns the dot product of the two vectors. (U)Int* or Float* or Decimal Examples Basic usage
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flattenTuple

Introduced in: v22.6.0 Flattens a named and nested tuple. The elements of the returned tuple are the paths of the input tuple. Syntax
Arguments Returned value Returns an output tuple whose elements are paths from the original input. Tuple(T) Examples Usage example
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tuple

Introduced in: v1.1.0 Returns a tuple by grouping input arguments. For columns C1, C2, … with the types T1, T2, …, it returns a named Tuple(C1 T1, C2 T2, …) type tuple containing these columns if their names are unique and can be treated as unquoted identifiers, otherwise a Tuple(T1, T2, …) is returned. There is no cost to execute the function. Tuples are normally used as intermediate values for an argument of IN operators, or for creating a list of formal parameters of lambda functions. Tuples can’t be written to a table. The function implements the operator (x, y, ...). Syntax
Arguments
  • None.
Returned value Examples typical
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tupleConcat

Introduced in: v23.8.0 Combines tuples passed as arguments. Syntax
Arguments
  • tupleN — Arbitrary number of arguments of Tuple type. Tuple(T)
Returned value Returns a tuple containing all elements from the input tuples. Tuple(T) Examples Usage example
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tupleDivide

Introduced in: v21.11.0 Calculates the division of corresponding elements of two tuples of the same size.
Division by zero will return inf.
Syntax
Arguments Returned value Returns tuple with the result of division. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleDivideByNumber

Introduced in: v21.11.0 Returns a tuple with all elements divided by a number.
Division by zero will return inf.
Syntax
Arguments Returned value Returns a tuple with divided elements. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleElement

Introduced in: v1.1.0 Extracts an element from a tuple by index or name. For access by index, an 1-based numeric index is expected. For access by name, the element name can be provided as a string (works only for named tuples). Negative indexes are supported. In this case, the corresponding element is selected, numbered from the end. For example, tuple.-1 is the last element in the tuple. An optional third argument specifies a default value which is returned instead of throwing an exception when the accessed element does not exist. All arguments must be constants. This function has zero runtime cost and implements the operators x.index and x.name. Syntax
Arguments Returned value Returns the element at the specified index or name. Any Examples Index access
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Negative indexing
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Named tuple with table
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With default value
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Operator syntax
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tupleHammingDistance

Introduced in: v21.1.0 Returns the Hamming Distance between two tuples of the same size.
The result type is determined the same way it is for Arithmetic functions, based on the number of elements in the input tuples.
Syntax
Arguments Returned value Returns the Hamming distance. UInt8/16/32/64 Examples Usage example
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With MinHash to detect semi-duplicate strings
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tupleIntDiv

Introduced in: v23.8.0 Performs an integer division with a tuple of numerators and a tuple of denominators. Returns a tuple of quotients. If either tuple contains non-integer elements then the result is calculated by rounding to the nearest integer for each non-integer numerator or divisor. Division by 0 causes an error to be thrown. Syntax
Arguments Returned value Returns a tuple of the quotients. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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With decimals
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tupleIntDivByNumber

Introduced in: v23.8.0 Performs integer division of a tuple of numerators by a given denominator, and returns a tuple of the quotients. If either of the input parameters contain non-integer elements then the result is calculated by rounding to the nearest integer for each non-integer numerator or divisor. An error will be thrown for division by 0. Syntax
Arguments Returned value Returns a tuple of the quotients. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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With decimals
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tupleIntDivOrZero

Introduced in: v23.8.0 Like tupleIntDiv performs integer division of a tuple of numerators and a tuple of denominators, and returns a tuple of the quotients. In case of division by 0, returns the quotient as 0 instead of throwing an exception. If either tuple contains non-integer elements then the result is calculated by rounding to the nearest integer for each non-integer numerator or divisor. Syntax
Arguments Returned value Returns tuple of the quotients. Returns 0 for quotients where the divisor is 0. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples With zero divisors
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tupleIntDivOrZeroByNumber

Introduced in: v23.8.0 Like tupleIntDivByNumber it does integer division of a tuple of numerators by a given denominator, and returns a tuple of the quotients. It does not throw an error for zero divisors, but rather returns the quotient as zero. If either the tuple or div contain non-integer elements then the result is calculated by rounding to the nearest integer for each non-integer numerator or divisor. Syntax
Arguments Returned value Returns a tuple of the quotients with 0 for quotients where the divisor is 0. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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With zero divisor
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tupleMinus

Introduced in: v21.11.0 Calculates the difference between corresponding elements of two tuples of the same size. Syntax
Aliases: vectorDifference Arguments Returned value Returns a tuple containing the results of the subtractions. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleModulo

Introduced in: v23.8.0 Returns a tuple of the remainders (moduli) of division operations of two tuples. Syntax
Arguments Returned value Returns tuple of the remainders of division. An error is thrown for division by zero. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleModuloByNumber

Introduced in: v23.8.0 Returns a tuple of the moduli (remainders) of division operations of a tuple and a given divisor. Syntax
Arguments Returned value Returns tuple of the remainders of division. An error is thrown for division by zero. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleMultiply

Introduced in: v21.11.0 Calculates the multiplication of corresponding elements of two tuples of the same size. Syntax
Arguments Returned value Returns a tuple with the results of the multiplications. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleMultiplyByNumber

Introduced in: v21.11.0 Returns a tuple with all elements multiplied by a number. Syntax
Arguments Returned value Returns a tuple with multiplied elements. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleNames

Introduced in: v24.8.0 Converts a tuple into an array of column names. For a tuple in the form Tuple(a T, b T, ...), it returns an array of strings representing the named columns of the tuple. If the tuple elements do not have explicit names, their indices will be used as the column names instead. Syntax
Arguments
  • None.
Returned value Examples typical
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tupleNegate

Introduced in: v21.11.0 Calculates the negation of the tuple elements. Syntax
Arguments Returned value Returns a tuple with the result of negation. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tuplePlus

Introduced in: v21.11.0 Calculates the sum of corresponding elements of two tuples of the same size. Syntax
Aliases: vectorSum Arguments Returned value Returns a tuple containing the sums of corresponding input tuple arguments. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tuplePositiveModuloByNumber

Introduced in: v26.4.0 Returns a tuple of the positive moduli (remainders) of division operations of a tuple and a given divisor. Unlike tupleModuloByNumber, the result is always non-negative. Syntax
Arguments Returned value Returns a tuple of the non-negative remainders. Tuple((U)Int*) or Tuple(Float*) or Tuple(Decimal) Examples Basic usage
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tupleToNameValuePairs

Introduced in: v21.9.0 Converts a tuple to an array of (name, value) pairs. For example, tuple Tuple(n1 T1, n2 T2, ...) is converted to Array(Tuple('n1', T1), Tuple('n2', T2), ...). All values in the tuple must be of the same type. Syntax
Arguments Returned value Returns an array with (name, value) pairs. Array(Tuple(String, T)) Examples Named tuple
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Unnamed tuple
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untuple

Performs syntactic substitution of tuple elements in the call location. The names of the result columns are implementation-specific and subject to change. Do not assume specific column names after untuple. Syntax
You can use the EXCEPT expression to skip columns as a result of the query. Arguments
  • x — A tuple function, column, or tuple of elements. Tuple.
Returned value
  • None.
Examples Input table:
Example of using a Tuple-type column as the untuple function parameter:
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Example of using an EXCEPT expression:
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Distance functions

All supported functions are described in distance functions documentation.
Last modified on June 19, 2026