Compute Functions

The generic Compute API

Functions and function registry

Functions represent compute operations over inputs of possibly varying types. Internally, a function is implemented by one or several “kernels”, depending on the concrete input types (for example, a function adding values from two inputs can have different kernels depending on whether the inputs are integral or floating-point).

Functions are stored in a global FunctionRegistry where they can be looked up by name.

Input shapes

Computation inputs are represented as a general Datum class, which is a tagged union of several shapes of data such as Scalar, Array and ChunkedArray. Many compute functions support both array (chunked or not) and scalar inputs, however some will mandate particular input types. For example, while array_sort_indices requires its first and only input to be an array, the generalized sort_indices function accepts an array, chunked array, record batch or table.

Invoking functions

Compute functions can be invoked by name using arrow::compute::CallFunction():

std::shared_ptr<arrow::Array> numbers_array = ...;
std::shared_ptr<arrow::Scalar> increment = ...;
arrow::Datum incremented_datum;

ARROW_ASSIGN_OR_RAISE(incremented_datum,
                      arrow::compute::CallFunction("add", {numbers_array, increment}));
std::shared_ptr<Array> incremented_array = std::move(incremented_datum).make_array();

(note this example uses implicit conversion from std::shared_ptr<Array> to Datum)

Many compute functions are also available directly as concrete APIs, here arrow::compute::Add():

std::shared_ptr<arrow::Array> numbers_array = ...;
std::shared_ptr<arrow::Scalar> increment = ...;
arrow::Datum incremented_datum;

ARROW_ASSIGN_OR_RAISE(incremented_datum,
                      arrow::compute::Add(numbers_array, increment));
std::shared_ptr<Array> incremented_array = std::move(incremented_datum).make_array();

Some functions accept or require an options structure that determines the exact semantics of the function:

ScalarAggregateOptions scalar_aggregate_options;
scalar_aggregate_options.skip_nulls = false;

std::shared_ptr<arrow::Array> array = ...;
arrow::Datum min_max;

ARROW_ASSIGN_OR_RAISE(min_max,
                      arrow::compute::CallFunction("min_max", {array},
                                                   &scalar_aggregate_options));

// Unpack struct scalar result (a two-field {"min", "max"} scalar)
std::shared_ptr<arrow::Scalar> min_value, max_value;
min_value = min_max.scalar_as<arrow::StructScalar>().value[0];
max_value = min_max.scalar_as<arrow::StructScalar>().value[1];

However, Grouped Aggregations are not invocable via CallFunction.

See also

Compute API reference

Implicit casts

Functions may require conversion of their arguments before execution if a kernel does not match the argument types precisely. For example comparison of dictionary encoded arrays is not directly supported by any kernel, but an implicit cast can be made allowing comparison against the decoded array.

Each function may define implicit cast behaviour as appropriate. For example comparison and arithmetic kernels require identically typed arguments, and support execution against differing numeric types by promoting their arguments to numeric type which can accommodate any value from either input.

Common numeric type

The common numeric type of a set of input numeric types is the smallest numeric type which can accommodate any value of any input. If any input is a floating point type the common numeric type is the widest floating point type among the inputs. Otherwise the common numeric type is integral and is signed if any input is signed. For example:

Input types	Common numeric type	Notes
int32, int32	int32
int16, int32	int32	Max width is 32, promote LHS to int32
uint16, int32	int32	One input signed, override unsigned
uint32, int32	int64	Widen to accommodate range of uint32
uint16, uint32	uint32	All inputs unsigned, maintain unsigned
int16, uint32	int64
uint64, int16	int64	int64 cannot accommodate all uint64 values
float32, int32	float32	Promote RHS to float32
float32, float64	float64
float32, int64	float32	int64 is wider, still promotes to float32

In particulary, note that comparing a uint64 column to an int16 column may emit an error if one of the uint64 values cannot be expressed as the common type int64 (for example, 2 ** 63).

Available functions

Type categories

To avoid exhaustively listing supported types, the tables below use a number of general type categories:

• “Numeric”: Integer types (Int8, etc.) and Floating-point types (Float32, Float64, sometimes Float16). Some functions also accept Decimal128 and Decimal256 input.

• “Temporal”: Date types (Date32, Date64), Time types (Time32, Time64), Timestamp, Duration, Interval.

• “Binary-like”: Binary, LargeBinary, sometimes also FixedSizeBinary.

• “String-like”: String, LargeString.

• “List-like”: List, LargeList, sometimes also FixedSizeList.

• “Nested”: List-likes (including FixedSizeList), Struct, Union, and related types like Map.

If you are unsure whether a function supports a concrete input type, we recommend you try it out. Unsupported input types return a TypeError Status.

Aggregations

Scalar aggregations operate on a (chunked) array or scalar value and reduce the input to a single output value.

Function name	Arity	Input types	Output type	Options class	Notes
all	Unary	Boolean	Scalar Boolean	ScalarAggregateOptions	(1)
any	Unary	Boolean	Scalar Boolean	ScalarAggregateOptions	(1)
approximate_median	Unary	Numeric	Scalar Float64	ScalarAggregateOptions
count	Unary	Any	Scalar Int64	CountOptions	(2)
count_all	Nullary		Scalar Int64
count_distinct	Unary	Non-nested types	Scalar Int64	CountOptions	(2)
first	Unary	Numeric, Binary	Scalar Input type	ScalarAggregateOptions	(11)
first_last	Unary	Numeric, Binary	Scalar Struct	ScalarAggregateOptions	(11)
index	Unary	Any	Scalar Int64	IndexOptions	(3)
last	Unary	Numeric, Binary	Scalar Input type	ScalarAggregateOptions	(11)
max	Unary	Non-nested types	Scalar Input type	ScalarAggregateOptions
mean	Unary	Numeric	Scalar Decimal/Float64	ScalarAggregateOptions	(4)
min	Unary	Non-nested types	Scalar Input type	ScalarAggregateOptions
min_max	Unary	Non-nested types	Scalar Struct	ScalarAggregateOptions	(5)
mode	Unary	Numeric	Struct	ModeOptions	(6)
product	Unary	Numeric	Scalar Numeric	ScalarAggregateOptions	(7)
quantile	Unary	Numeric	Scalar Numeric	QuantileOptions	(8)
stddev	Unary	Numeric	Scalar Float64	VarianceOptions	(9)
sum	Unary	Numeric	Scalar Numeric	ScalarAggregateOptions	(7)
tdigest	Unary	Numeric	Float64	TDigestOptions	(10)
variance	Unary	Numeric	Scalar Float64	VarianceOptions	(9)

• (1) If null values are taken into account, by setting the ScalarAggregateOptions parameter skip_nulls = false, then Kleene logic logic is applied. The min_count option is not respected.

• (2) CountMode controls whether only non-null values are counted (the default), only null values are counted, or all values are counted.

• (3) Returns -1 if the value is not found. The index of a null value is always -1, regardless of whether there are nulls in the input.

• (4) For decimal inputs, the resulting decimal will have the same precision and scale. The result is rounded away from zero.

• (5) Output is a {"min": input type, "max": input type} Struct.

  Of the interval types, only the month interval is supported, as the day-time and month-day-nano types are not sortable.

• (6) Output is an array of {"mode": input type, "count": Int64} Struct. It contains the N most common elements in the input, in descending order, where N is given in ModeOptions::n. If two values have the same count, the smallest one comes first. Note that the output can have less than N elements if the input has less than N distinct values.

• (7) Output is Int64, UInt64, Float64, or Decimal128/256, depending on the input type.

• (8) Output is Float64 or input type, depending on QuantileOptions.

• (9) Decimal arguments are cast to Float64 first.

• (10) tdigest/t-digest computes approximate quantiles, and so only needs a fixed amount of memory. See the reference implementation for details.

• (11) Result is based on the ordering of input data

  Decimal arguments are cast to Float64 first.

Grouped Aggregations (“group by”)

Grouped aggregations are not directly invokable, but are used as part of a SQL-style “group by” operation. Like scalar aggregations, grouped aggregations reduce multiple input values to a single output value. Instead of aggregating all values of the input, however, grouped aggregations partition the input values on some set of “key” columns, then aggregate each group individually, emitting one output value per input group.

As an example, for the following table:

Column key	Column x
“a”	2
“a”	5
“b”	null
“b”	null
null	null
null	9

we can compute a sum of the column x, grouped on the column key. This gives us three groups, with the following results. Note that null is treated as a distinct key value.

Column key	Column sum(x)
“a”	7
“b”	null
null	9

The supported aggregation functions are as follows. All function names are prefixed with hash_, which differentiates them from their scalar equivalents above and reflects how they are implemented internally.

Function name	Arity	Input types	Output type	Options class	Notes
hash_all	Unary	Boolean	Boolean	ScalarAggregateOptions	(1)
hash_any	Unary	Boolean	Boolean	ScalarAggregateOptions	(1)
hash_approximate_median	Unary	Numeric	Float64	ScalarAggregateOptions
hash_count	Unary	Any	Int64	CountOptions	(2)
hash_count_all	Nullary		Int64
hash_count_distinct	Unary	Any	Int64	CountOptions	(2)
hash_distinct	Unary	Any	List of input type	CountOptions	(2) (3)
hash_first	Unary	Numeric, Binary	Input type	ScalarAggregateOptions	(10)
hash_first_last	Unary	Numeric, Binary	Struct	ScalarAggregateOptions	(10)
hash_last	Unary	Numeric, Binary	Input type	ScalarAggregateOptions	(10)
hash_list	Unary	Any	List of input type		(3)
hash_max	Unary	Non-nested, non-binary/string-like	Input type	ScalarAggregateOptions
hash_mean	Unary	Numeric	Decimal/Float64	ScalarAggregateOptions	(4)
hash_min	Unary	Non-nested, non-binary/string-like	Input type	ScalarAggregateOptions
hash_min_max	Unary	Non-nested types	Struct	ScalarAggregateOptions	(5)
hash_one	Unary	Any	Input type		(6)
hash_product	Unary	Numeric	Numeric	ScalarAggregateOptions	(7)
hash_stddev	Unary	Numeric	Float64	VarianceOptions	(8)
hash_sum	Unary	Numeric	Numeric	ScalarAggregateOptions	(7)
hash_tdigest	Unary	Numeric	FixedSizeList[Float64]	TDigestOptions	(9)
hash_variance	Unary	Numeric	Float64	VarianceOptions	(8)

• (1) If null values are taken into account, by setting the ScalarAggregateOptions::skip_nulls to false, then Kleene logic logic is applied. The min_count option is not respected.

• (2) CountMode controls whether only non-null values are counted (the default), only null values are counted, or all values are counted. For hash_distinct, it instead controls whether null values are emitted. This never affects the grouping keys, only group values (i.e. you may get a group where the key is null).

• (3) hash_distinct and hash_list gather the grouped values into a list array.

• (4) For decimal inputs, the resulting decimal will have the same precision and scale. The result is rounded away from zero.

• (5) Output is a {"min": input type, "max": input type} Struct array.

  Of the interval types, only the month interval is supported, as the day-time and month-day-nano types are not sortable.

• (6) hash_one returns one arbitrary value from the input for each group. The function is biased towards non-null values: if there is at least one non-null value for a certain group, that value is returned, and only if all the values are null for the group will the function return null.

• (7) Output is Int64, UInt64, Float64, or Decimal128/256, depending on the input type.

• (8) Decimal arguments are cast to Float64 first.

• (9) T-digest computes approximate quantiles, and so only needs a fixed amount of memory. See the reference implementation for details.

• (10) Result is based on ordering of the input data.

  Decimal arguments are cast to Float64 first.

Element-wise (“scalar”) functions

All element-wise functions accept both arrays and scalars as input. The semantics for unary functions are as follow:

• scalar inputs produce a scalar output

• array inputs produce an array output

Binary functions have the following semantics (which is sometimes called “broadcasting” in other systems such as NumPy):

• (scalar, scalar) inputs produce a scalar output

• (array, array) inputs produce an array output (and both inputs must be of the same length)

• (scalar, array) and (array, scalar) produce an array output. The scalar input is handled as if it were an array of the same length N as the other input, with the same value repeated N times.

Arithmetic functions

These functions expect inputs of numeric type and apply a given arithmetic operation to each element(s) gathered from the input(s). If any of the input element(s) is null, the corresponding output element is null. For binary functions, input(s) will be cast to the common numeric type (and dictionary decoded, if applicable) before the operation is applied.

The default variant of these functions does not detect overflow (the result then typically wraps around). Most functions are also available in an overflow-checking variant, suffixed _checked, which returns an Invalid Status when overflow is detected.

For functions which support decimal inputs (currently add, subtract, multiply, and divide and their checked variants), decimals of different precisions/scales will be promoted appropriately. Mixed decimal and floating-point arguments will cast all arguments to floating-point, while mixed decimal and integer arguments will cast all arguments to decimals. Mixed time resolution temporal inputs will be cast to finest input resolution.

Function name	Arity	Input types	Output type	Notes
abs	Unary	Numeric	Numeric
abs_checked	Unary	Numeric	Numeric
add	Binary	Numeric/Temporal	Numeric/Temporal	(1)
add_checked	Binary	Numeric/Temporal	Numeric/Temporal	(1)
divide	Binary	Numeric/Temporal	Numeric/Temporal	(1)
divide_checked	Binary	Numeric/Temporal	Numeric/Temporal	(1)
exp	Unary	Numeric	Float32/Float64
multiply	Binary	Numeric/Temporal	Numeric/Temporal	(1)
multiply_checked	Binary	Numeric/Temporal	Numeric/Temporal	(1)
negate	Unary	Numeric	Numeric
negate_checked	Unary	Signed Numeric	Signed Numeric
power	Binary	Numeric	Numeric
power_checked	Binary	Numeric	Numeric
sign	Unary	Numeric	Int8/Float32/Float64	(2)
sqrt	Unary	Numeric	Numeric
sqrt_checked	Unary	Numeric	Numeric
subtract	Binary	Numeric/Temporal	Numeric/Temporal	(1)
subtract_checked	Binary	Numeric/Temporal	Numeric/Temporal	(1)

• (1) Precision and scale of computed DECIMAL results

  Operation	Result precision and scale
  add subtract	scale = max(s1, s2) precision = max(p1-s1, p2-s2) + 1 + scale
  multiply	scale = s1 + s2 precision = p1 + p2 + 1
  divide	scale = max(4, s1 + p2 - s2 + 1) precision = p1 - s1 + s2 + scale

  It’s compatible with Redshift’s decimal promotion rules. All decimal digits are preserved for add, subtract and multiply operations. The result precision of divide is at least the sum of precisions of both operands with enough scale kept. Error is returned if the result precision is beyond the decimal value range.

• (2) Output is any of (-1,1) for nonzero inputs and 0 for zero input. NaN values return NaN. Integral and decimal values return signedness as Int8 and floating-point values return it with the same type as the input values.

Bit-wise functions

Function name	Arity	Input types	Output type
bit_wise_and	Binary	Numeric	Numeric
bit_wise_not	Unary	Numeric	Numeric
bit_wise_or	Binary	Numeric	Numeric
bit_wise_xor	Binary	Numeric	Numeric
shift_left	Binary	Numeric	Numeric
shift_left_checked	Binary	Numeric	Numeric (1)
shift_right	Binary	Numeric	Numeric
shift_right_checked	Binary	Numeric	Numeric (1)

• (1) An error is emitted if the shift amount (i.e. the second input) is out of bounds for the data type. However, an overflow when shifting the first input is not error (truncated bits are silently discarded).

Rounding functions

Rounding functions displace numeric inputs to an approximate value with a simpler representation based on the rounding criterion.

Function name	Arity	Input types	Output type	Options class	Notes
ceil	Unary	Numeric	Float32/Float64/Decimal
floor	Unary	Numeric	Float32/Float64/Decimal
round	Unary	Numeric	Input Type	RoundOptions	(1)(2)
round_to_multiple	Unary	Numeric	Input Type	RoundToMultipleOptions	(1)(3)
round_binary	Binary	Numeric	Input Type	RoundBinaryOptions	(1)(4)
trunc	Unary	Numeric	Float32/Float64/Decimal

• (1) By default rounding functions change a value to the nearest integer using HALF_TO_EVEN to resolve ties. Options are available to control the rounding criterion. All round functions have the round_mode option to set the rounding mode.

• (2) Round to a number of digits where the ndigits option of RoundOptions specifies the rounding precision in terms of number of digits. A negative value corresponds to digits in the non-fractional part. For example, -2 corresponds to rounding to the nearest multiple of 100 (zeroing the ones and tens digits). Default value of ndigits is 0 which rounds to the nearest integer. For integer inputs a non-negative ndigits value is ignored and the input is returned unchanged. For integer inputs, if -ndigits is larger than the maximum number of digits the input type can hold, an error is returned.

• (3) Round to a multiple where the multiple option of RoundToMultipleOptions specifies the rounding scale. The rounding multiple has to be a positive value and can be casted to input type. For example, 100 corresponds to rounding to the nearest multiple of 100 (zeroing the ones and tens digits). Default value of multiple is 1 which rounds to the nearest integer.

• (4) Round the first input to multiple of the second input. The rounding multiple has to be a positive value and can be casted to the first input type. For example, 100 corresponds to rounding to the nearest multiple of 100 (zeroing the ones and tens digits).

For round functions, the following rounding modes are available. Tie-breaking modes are prefixed with HALF and round non-ties to the nearest integer. The example values are given for default values of ndigits and multiple.

round_mode	Operation performed	Example values
DOWN	Round to nearest integer less than or equal in magnitude; also known as floor(x)	3.2 -> 3, 3.7 -> 3, -3.2 -> -4, -3.7 -> -4
UP	Round to nearest integer greater than or equal in magnitude; also known as ceil(x)	3.2 -> 4, 3.7 -> 4, -3.2 -> -3, -3.7 -> -3
TOWARDS_ZERO	Get the integral part without fractional digits; also known as trunc(x)	3.2 -> 3, 3.7 -> 3, -3.2 -> -3, -3.7 -> -3
TOWARDS_INFINITY	Round negative values with DOWN rule, round positive values with UP rule	3.2 -> 4, 3.7 -> 4, -3.2 -> -4, -3.7 -> -4
HALF_DOWN	Round ties with DOWN rule	3.5 -> 3, 4.5 -> 4, -3.5 -> -4, -4.5 -> -5
HALF_UP	Round ties with UP rule	3.5 -> 4, 4.5 -> 5, -3.5 -> -3, -4.5 -> -4
HALF_TOWARDS_ZERO	Round ties with TOWARDS_ZERO rule	3.5 -> 3, 4.5 -> 4, -3.5 -> -3, -4.5 -> -4
HALF_TOWARDS_INFINITY	Round ties with TOWARDS_INFINITY rule	3.5 -> 4, 4.5 -> 5, -3.5 -> -4, -4.5 -> -5
HALF_TO_EVEN	Round ties to nearest even integer	3.5 -> 4, 4.5 -> 4, -3.5 -> -4, -4.5 -> -4
HALF_TO_ODD	Round ties to nearest odd integer	3.5 -> 3, 4.5 -> 5, -3.5 -> -3, -4.5 -> -5

The following table gives examples of how ndigits (for the round and round_binary functions) and multiple (for round_to_multiple) influence the operation performed, respectively.

Round multiple	Round ndigits	Operation performed
1	0	Round to integer
0.001	3	Round to 3 decimal places
10	-1	Round to multiple of 10
2	NA	Round to multiple of 2

Logarithmic functions

Logarithmic functions are also supported, and also offer _checked variants that check for domain errors if needed.

Decimal values are accepted, but are cast to Float64 first.

Function name	Arity	Input types	Output type
ln	Unary	Float32/Float64/Decimal	Float32/Float64
ln_checked	Unary	Float32/Float64/Decimal	Float32/Float64
log10	Unary	Float32/Float64/Decimal	Float32/Float64
log10_checked	Unary	Float32/Float64/Decimal	Float32/Float64
log1p	Unary	Float32/Float64/Decimal	Float32/Float64
log1p_checked	Unary	Float32/Float64/Decimal	Float32/Float64
log2	Unary	Float32/Float64/Decimal	Float32/Float64
log2_checked	Unary	Float32/Float64/Decimal	Float32/Float64
logb	Binary	Float32/Float64/Decimal	Float32/Float64
logb_checked	Binary	Float32/Float64/Decimal	Float32/Float64

Trigonometric functions

Trigonometric functions are also supported, and also offer _checked variants that check for domain errors if needed.

Decimal values are accepted, but are cast to Float64 first.

Function name	Arity	Input types	Output type
acos	Unary	Float32/Float64/Decimal	Float32/Float64
acos_checked	Unary	Float32/Float64/Decimal	Float32/Float64
asin	Unary	Float32/Float64/Decimal	Float32/Float64
asin_checked	Unary	Float32/Float64/Decimal	Float32/Float64
atan	Unary	Float32/Float64/Decimal	Float32/Float64
atan2	Binary	Float32/Float64/Decimal	Float32/Float64
cos	Unary	Float32/Float64/Decimal	Float32/Float64
cos_checked	Unary	Float32/Float64/Decimal	Float32/Float64
sin	Unary	Float32/Float64/Decimal	Float32/Float64
sin_checked	Unary	Float32/Float64/Decimal	Float32/Float64
tan	Unary	Float32/Float64/Decimal	Float32/Float64
tan_checked	Unary	Float32/Float64/Decimal	Float32/Float64

Comparisons

These functions expect two inputs of numeric type (in which case they will be cast to the common numeric type before comparison), or two inputs of Binary- or String-like types, or two inputs of Temporal types. If any input is dictionary encoded it will be expanded for the purposes of comparison. If any of the input elements in a pair is null, the corresponding output element is null. Decimal arguments will be promoted in the same way as for add and subtract.

Function names	Arity	Input types	Output type
equal	Binary	Numeric, Temporal, Binary- and String-like	Boolean
greater	Binary	Numeric, Temporal, Binary- and String-like	Boolean
greater_equal	Binary	Numeric, Temporal, Binary- and String-like	Boolean
less	Binary	Numeric, Temporal, Binary- and String-like	Boolean
less_equal	Binary	Numeric, Temporal, Binary- and String-like	Boolean
not_equal	Binary	Numeric, Temporal, Binary- and String-like	Boolean

These functions take any number of inputs of numeric type (in which case they will be cast to the common numeric type before comparison) or of temporal types. If any input is dictionary encoded it will be expanded for the purposes of comparison.

Function names	Arity	Input types	Output type	Options class	Notes
max_element_wise	Varargs	Numeric, Temporal, Binary- and String-like	Numeric or Temporal	ElementWiseAggregateOptions	(1)
min_element_wise	Varargs	Numeric, Temporal, Binary- and String-like	Numeric or Temporal	ElementWiseAggregateOptions	(1)

• (1) By default, nulls are skipped (but the kernel can be configured to propagate nulls). For floating point values, NaN will be taken over null but not over any other value. For binary- and string-like values, only identical type parameters are supported.

Logical functions

The normal behaviour for these functions is to emit a null if any of the inputs is null (similar to the semantics of NaN in floating-point computations).

Some of them are also available in a Kleene logic variant (suffixed _kleene) where null is taken to mean “undefined”. This is the interpretation of null used in SQL systems as well as R and Julia, for example.

For the Kleene logic variants, therefore:

• “true AND null”, “null AND true” give “null” (the result is undefined)

• “true OR null”, “null OR true” give “true”

• “false AND null”, “null AND false” give “false”

• “false OR null”, “null OR false” give “null” (the result is undefined)

Function name	Arity	Input types	Output type
and	Binary	Boolean	Boolean
and_kleene	Binary	Boolean	Boolean
and_not	Binary	Boolean	Boolean
and_not_kleene	Binary	Boolean	Boolean
invert	Unary	Boolean	Boolean
or	Binary	Boolean	Boolean
or_kleene	Binary	Boolean	Boolean
xor	Binary	Boolean	Boolean

String predicates

These functions classify the input string elements according to their character contents. An empty string element emits false in the output. For ASCII variants of the functions (prefixed ascii_), a string element with non-ASCII characters emits false in the output.

The first set of functions operates on a character-per-character basis, and emit true in the output if the input contains only characters of a given class:

Function name	Arity	Input types	Output type	Matched character class	Notes
ascii_is_alnum	Unary	String-like	Boolean	Alphanumeric ASCII
ascii_is_alpha	Unary	String-like	Boolean	Alphabetic ASCII
ascii_is_decimal	Unary	String-like	Boolean	Decimal ASCII	(1)
ascii_is_lower	Unary	String-like	Boolean	Lowercase ASCII	(2)
ascii_is_printable	Unary	String-like	Boolean	Printable ASCII
ascii_is_space	Unary	String-like	Boolean	Whitespace ASCII
ascii_is_upper	Unary	String-like	Boolean	Uppercase ASCII	(2)
utf8_is_alnum	Unary	String-like	Boolean	Alphanumeric Unicode
utf8_is_alpha	Unary	String-like	Boolean	Alphabetic Unicode
utf8_is_decimal	Unary	String-like	Boolean	Decimal Unicode
utf8_is_digit	Unary	String-like	Boolean	Unicode digit	(3)
utf8_is_lower	Unary	String-like	Boolean	Lowercase Unicode	(2)
utf8_is_numeric	Unary	String-like	Boolean	Numeric Unicode	(4)
utf8_is_printable	Unary	String-like	Boolean	Printable Unicode
utf8_is_space	Unary	String-like	Boolean	Whitespace Unicode
utf8_is_upper	Unary	String-like	Boolean	Uppercase Unicode	(2)

• (1) Also matches all numeric ASCII characters and all ASCII digits.

• (2) Non-cased characters, such as punctuation, do not match.

• (3) This is currently the same as utf8_is_decimal.

• (4) Unlike utf8_is_decimal, non-decimal numeric characters also match.

The second set of functions also consider the character order in a string element:

Function name	Arity	Input types	Output type	Notes
ascii_is_title	Unary	String-like	Boolean	(1)
utf8_is_title	Unary	String-like	Boolean	(1)

• (1) Output is true iff the input string element is title-cased, i.e. any word starts with an uppercase character, followed by lowercase characters. Word boundaries are defined by non-cased characters.

The third set of functions examines string elements on a byte-per-byte basis:

Function name	Arity	Input types	Output type	Notes
string_is_ascii	Unary	String-like	Boolean	(1)

• (1) Output is true iff the input string element contains only ASCII characters, i.e. only bytes in [0, 127].

String transforms

Function name	Arity	Input types	Output type	Options class	Notes
ascii_capitalize	Unary	String-like	String-like		(1)
ascii_lower	Unary	String-like	String-like		(1)
ascii_reverse	Unary	String-like	String-like		(2)
ascii_swapcase	Unary	String-like	String-like		(1)
ascii_title	Unary	String-like	String-like		(1)
ascii_upper	Unary	String-like	String-like		(1)
binary_length	Unary	Binary- or String-like	Int32 or Int64		(3)
binary_repeat	Binary	Binary/String (Arg 0); Integral (Arg 1)	Binary- or String-like		(4)
binary_replace_slice	Unary	String-like	Binary- or String-like	ReplaceSliceOptions	(5)
binary_reverse	Unary	Binary	Binary		(6)
replace_substring	Unary	String-like	String-like	ReplaceSubstringOptions	(7)
replace_substring_regex	Unary	String-like	String-like	ReplaceSubstringOptions	(8)
utf8_capitalize	Unary	String-like	String-like		(9)
utf8_length	Unary	String-like	Int32 or Int64		(10)
utf8_lower	Unary	String-like	String-like		(9)
utf8_replace_slice	Unary	String-like	String-like	ReplaceSliceOptions	(7)
utf8_reverse	Unary	String-like	String-like		(11)
utf8_swapcase	Unary	String-like	String-like		(9)
utf8_title	Unary	String-like	String-like		(9)
utf8_upper	Unary	String-like	String-like		(9)

• (1) Each ASCII character in the input is converted to lowercase or uppercase. Non-ASCII characters are left untouched.

• (2) ASCII input is reversed to the output. If non-ASCII characters are present, Invalid Status will be returned.

• (3) Output is the physical length in bytes of each input element. Output type is Int32 for Binary/String, Int64 for LargeBinary/LargeString.

• (4) Repeat the input binary string a given number of times.

• (5) Replace the slice of the substring from ReplaceSliceOptions::start (inclusive) to ReplaceSliceOptions::stop (exclusive) by ReplaceSubstringOptions::replacement. The binary kernel measures the slice in bytes, while the UTF8 kernel measures the slice in codeunits.

• (6) Perform a byte-level reverse.

• (7) Replace non-overlapping substrings that match to ReplaceSubstringOptions::pattern by ReplaceSubstringOptions::replacement. If ReplaceSubstringOptions::max_replacements != -1, it determines the maximum number of replacements made, counting from the left.

• (8) Replace non-overlapping substrings that match to the regular expression ReplaceSubstringOptions::pattern by ReplaceSubstringOptions::replacement, using the Google RE2 library. If ReplaceSubstringOptions::max_replacements != -1, it determines the maximum number of replacements made, counting from the left. Note that if the pattern contains groups, backreferencing can be used.

• (9) Each UTF8-encoded character in the input is converted to lowercase or uppercase.

• (10) Output is the number of characters (not bytes) of each input element. Output type is Int32 for String, Int64 for LargeString.

• (11) Each UTF8-encoded code unit is written in reverse order to the output. If the input is not valid UTF8, then the output is undefined (but the size of output buffers will be preserved).

String padding

These functions append/prepend a given padding byte (ASCII) or codepoint (UTF8) in order to center (center), right-align (lpad), or left-align (rpad) a string.

Function name	Arity	Input types	Output type	Options class
ascii_center	Unary	String-like	String-like	PadOptions
ascii_lpad	Unary	String-like	String-like	PadOptions
ascii_rpad	Unary	String-like	String-like	PadOptions
utf8_center	Unary	String-like	String-like	PadOptions
utf8_lpad	Unary	String-like	String-like	PadOptions
utf8_rpad	Unary	String-like	String-like	PadOptions

String trimming

These functions trim off characters on both sides (trim), or the left (ltrim) or right side (rtrim).

Function name	Arity	Input types	Output type	Options class	Notes
ascii_ltrim	Unary	String-like	String-like	TrimOptions	(1)
ascii_ltrim_whitespace	Unary	String-like	String-like		(2)
ascii_rtrim	Unary	String-like	String-like	TrimOptions	(1)
ascii_rtrim_whitespace	Unary	String-like	String-like		(2)
ascii_trim	Unary	String-like	String-like	TrimOptions	(1)
ascii_trim_whitespace	Unary	String-like	String-like		(2)
utf8_ltrim	Unary	String-like	String-like	TrimOptions	(3)
utf8_ltrim_whitespace	Unary	String-like	String-like		(4)
utf8_rtrim	Unary	String-like	String-like	TrimOptions	(3)
utf8_rtrim_whitespace	Unary	String-like	String-like		(4)
utf8_trim	Unary	String-like	String-like	TrimOptions	(3)
utf8_trim_whitespace	Unary	String-like	String-like		(4)

• (1) Only characters specified in TrimOptions::characters will be trimmed off. Both the input string and the characters argument are interpreted as ASCII characters.

• (2) Only trim off ASCII whitespace characters ('\t', '\n', '\v', '\f', '\r' and ' ').

• (3) Only characters specified in TrimOptions::characters will be trimmed off.

• (4) Only trim off Unicode whitespace characters.

String splitting

These functions split strings into lists of strings. All kernels can optionally be configured with a max_splits and a reverse parameter, where max_splits == -1 means no limit (the default). When reverse is true, the splitting is done starting from the end of the string; this is only relevant when a positive max_splits is given.

Function name	Arity	Input types	Output type	Options class	Notes
ascii_split_whitespace	Unary	String-like	List-like	SplitOptions	(1)
split_pattern	Unary	Binary- or String-like	List-like	SplitPatternOptions	(2)
split_pattern_regex	Unary	Binary- or String-like	List-like	SplitPatternOptions	(3)
utf8_split_whitespace	Unary	String-like	List-like	SplitOptions	(4)

• (1) A non-zero length sequence of ASCII defined whitespace bytes ('\t', '\n', '\v', '\f', '\r' and ' ') is seen as separator.

• (2) The string is split when an exact pattern is found (the pattern itself is not included in the output).

• (3) The string is split when a regex match is found (the matched substring itself is not included in the output).

• (4) A non-zero length sequence of Unicode defined whitespace codepoints is seen as separator.

String component extraction

Function name	Arity	Input types	Output type	Options class	Notes
extract_regex	Unary	Binary- or String-like	Struct	ExtractRegexOptions	(1)

• (1) Extract substrings defined by a regular expression using the Google RE2 library. The output struct field names refer to the named capture groups, e.g. ‘letter’ and ‘digit’ for the regular expression (?P<letter>[ab])(?P<digit>\\d).

String joining

These functions do the inverse of string splitting.

Function name	Arity	Input type 1	Input type 2	Output type	Options class	Notes
binary_join	Binary	List of Binary- or String-like	String-like	String-like		(1)
binary_join_element_wise	Varargs	Binary- or String-like (varargs)	Binary- or String-like	Binary- or String-like	JoinOptions	(2)

• (1) The first input must be an array, while the second can be a scalar or array. Each list of values in the first input is joined using each second input as separator. If any input list is null or contains a null, the corresponding output will be null.

• (2) All arguments are concatenated element-wise, with the last argument treated as the separator (scalars are recycled in either case). Null separators emit null. If any other argument is null, by default the corresponding output will be null, but it can instead either be skipped or replaced with a given string.

String Slicing

This function transforms each sequence of the array to a subsequence, according to start and stop indices, and a non-zero step (defaulting to 1). Slicing semantics follow Python slicing semantics: the start index is inclusive, the stop index exclusive; if the step is negative, the sequence is followed in reverse order.

Function name	Arity	Input types	Output type	Options class	Notes
binary_slice	Unary	Binary-like	Binary-like	SliceOptions	(1)
utf8_slice_codeunits	Unary	String-like	String-like	SliceOptions	(2)

• (1) Slice string into a substring defined by (start, stop, step) as given by SliceOptions where start and stop are measured in bytes. Null inputs emit null.

• (2) Slice string into a substring defined by (start, stop, step) as given by SliceOptions where start and stop are measured in codeunits. Null inputs emit null.

Containment tests

Function name	Arity	Input types	Output type	Options class	Notes
count_substring	Unary	Binary- or String-like	Int32 or Int64	MatchSubstringOptions	(1)
count_substring_regex	Unary	Binary- or String-like	Int32 or Int64	MatchSubstringOptions	(1)
ends_with	Unary	Binary- or String-like	Boolean	MatchSubstringOptions	(2)
find_substring	Unary	Binary- and String-like	Int32 or Int64	MatchSubstringOptions	(3)
find_substring_regex	Unary	Binary- and String-like	Int32 or Int64	MatchSubstringOptions	(3)
index_in	Unary	Boolean, Null, Numeric, Temporal, Binary- and String-like	Int32	SetLookupOptions	(4)
is_in	Unary	Boolean, Null, Numeric, Temporal, Binary- and String-like	Boolean	SetLookupOptions	(5)
match_like	Unary	Binary- or String-like	Boolean	MatchSubstringOptions	(6)
match_substring	Unary	Binary- or String-like	Boolean	MatchSubstringOptions	(7)
match_substring_regex	Unary	Binary- or String-like	Boolean	MatchSubstringOptions	(8)
starts_with	Unary	Binary- or String-like	Boolean	MatchSubstringOptions	(2)

• (1) Output is the number of occurrences of MatchSubstringOptions::pattern in the corresponding input string. Output type is Int32 for Binary/String, Int64 for LargeBinary/LargeString.

• (2) Output is true iff MatchSubstringOptions::pattern is a suffix/prefix of the corresponding input.

• (3) Output is the index of the first occurrence of MatchSubstringOptions::pattern in the corresponding input string, otherwise -1. Output type is Int32 for Binary/String, Int64 for LargeBinary/LargeString.

• (4) Output is the index of the corresponding input element in SetLookupOptions::value_set, if found there. Otherwise, output is null.

• (5) Output is true iff the corresponding input element is equal to one of the elements in SetLookupOptions::value_set.

• (6) Output is true iff the SQL-style LIKE pattern MatchSubstringOptions::pattern fully matches the corresponding input element. That is, % will match any number of characters, _ will match exactly one character, and any other character matches itself. To match a literal percent sign or underscore, precede the character with a backslash.

• (7) Output is true iff MatchSubstringOptions::pattern is a substring of the corresponding input element.

• (8) Output is true iff MatchSubstringOptions::pattern matches the corresponding input element at any position.

Categorizations

Function name	Arity	Input types	Output type	Options class	Notes
is_finite	Unary	Null, Numeric	Boolean		(1)
is_inf	Unary	Null, Numeric	Boolean		(2)
is_nan	Unary	Null, Numeric	Boolean		(3)
is_null	Unary	Any	Boolean	NullOptions	(4)
is_valid	Unary	Any	Boolean		(5)
true_unless_null	Unary	Any	Boolean		(6)

• (1) Output is true iff the corresponding input element is finite (neither Infinity, -Infinity, nor NaN). Hence, for Decimal and integer inputs this always returns true.

• (2) Output is true iff the corresponding input element is Infinity/-Infinity. Hence, for Decimal and integer inputs this always returns false.

• (3) Output is true iff the corresponding input element is NaN. Hence, for Decimal and integer inputs this always returns false.

• (4) Output is true iff the corresponding input element is null. NaN values can also be considered null by setting NullOptions::nan_is_null.

• (5) Output is true iff the corresponding input element is non-null, else false.

• (6) Output is true iff the corresponding input element is non-null, else null.

  Mostly intended for expression simplification/guarantees.

Selecting / multiplexing

For each “row” of input values, these functions emit one of the input values, depending on a condition.

Function name	Arity	Input types	Output type	Notes
case_when	Varargs	Struct of Boolean (Arg 0), Any (rest)	Input type	(1)
choose	Varargs	Integral (Arg 0), Fixed-width/Binary-like (rest)	Input type	(2)
coalesce	Varargs	Any	Input type	(3)
if_else	Ternary	Boolean (Arg 0), Any (rest)	Input type	(4)

• (1) This function acts like a SQL “case when” statement or switch-case. The input is a “condition” value, which is a struct of Booleans, followed by the values for each “branch”. There must be either exactly one value argument for each child of the condition struct, or one more value argument than children (in which case we have an “else” or “default” value). The output is of the same type as the value inputs; each row will be the corresponding value from the first value datum for which the corresponding Boolean is true, or the corresponding value from the “default” input, or null otherwise.

  Note that currently, while all types are supported, dictionaries will be unpacked.

• (2) The first input must be an integral type. The rest of the arguments can be any type, but must all be the same type or promotable to a common type. Each value of the first input (the ‘index’) is used as a zero-based index into the remaining arguments (i.e. index 0 is the second argument, index 1 is the third argument, etc.), and the value of the output for that row will be the corresponding value of the selected input at that row. If the index is null, then the output will also be null.

• (3) Each row of the output will be the corresponding value of the first input which is non-null for that row, otherwise null.

• (4) First input must be a Boolean scalar or array. Second and third inputs could be scalars or arrays and must be of the same type. Output is an array (or scalar if all inputs are scalar) of the same type as the second/ third input. If the nulls present on the first input, they will be promoted to the output, otherwise nulls will be chosen based on the first input values.

  Also see: replace_with_mask.

Structural transforms

Function name	Arity	Input types	Output type	Options class	Notes
list_value_length	Unary	List-like	Int32 or Int64		(1)
make_struct	Varargs	Any	Struct	MakeStructOptions	(2)

• (1) Each output element is the length of the corresponding input element (null if input is null). Output type is Int32 for List and FixedSizeList, Int64 for LargeList.

• (2) The output struct’s field types are the types of its arguments. The field names are specified using an instance of MakeStructOptions. The output shape will be scalar if all inputs are scalar, otherwise any scalars will be broadcast to arrays.

Conversions

A general conversion function named cast is provided which accepts a large number of input and output types. The type to cast to can be passed in a CastOptions instance. As an alternative, the same service is provided by a concrete function Cast().

Function name	Arity	Input types	Output type	Options class	Notes
ceil_temporal	Unary	Temporal	Temporal	RoundTemporalOptions
floor_temporal	Unary	Temporal	Temporal	RoundTemporalOptions
round_temporal	Unary	Temporal	Temporal	RoundTemporalOptions
cast	Unary	Many	Variable	CastOptions
strftime	Unary	Temporal	String	StrftimeOptions	(1)
strptime	Unary	String-like	Timestamp	StrptimeOptions

The conversions available with cast are listed below. In all cases, a null input value is converted into a null output value.

• (1) Output precision of %S (seconds) flag depends on the input timestamp precision. Timestamps with second precision are represented as integers while milliseconds, microsecond and nanoseconds are represented as fixed floating point numbers with 3, 6 and 9 decimal places respectively. To obtain integer seconds, cast to timestamp with second resolution. The character for the decimal point is localized according to the locale. See detailed formatting documentation for descriptions of other flags.

Truth value extraction

Input type	Output type	Notes
Binary- and String-like	Boolean	(1)
Numeric	Boolean	(2)

• (1) Output is true iff the corresponding input value has non-zero length.

• (2) Output is true iff the corresponding input value is non-zero.

Same-kind conversion

Input type	Output type	Notes
Int32	32-bit Temporal	(1)
Int64	64-bit Temporal	(1)
(Large)Binary	(Large)String	(2)
(Large)String	(Large)Binary	(3)
Numeric	Numeric	(4) (5)
32-bit Temporal	Int32	(1)
64-bit Temporal	Int64	(1)
Temporal	Temporal	(4) (5)

• (1) No-operation cast: the raw values are kept identical, only the type is changed.

• (2) Validates the contents if CastOptions::allow_invalid_utf8 is false.

• (3) No-operation cast: only the type is changed.

• (4) Overflow and truncation checks are enabled depending on the given CastOptions.

• (5) Not all such casts have been implemented.

String representations

Input type	Output type	Notes
Boolean	String-like
Numeric	String-like

Generic conversions

Input type	Output type	Notes
Dictionary	Dictionary value type	(1)
Extension	Extension storage type
Struct	Struct	(2)
List-like	List-like	(3)
Map	Map or List of two-field struct	(4)
Null	Any
Any	Extension	(5)

• (1) The dictionary indices are unchanged, the dictionary values are cast from the input value type to the output value type (if a conversion is available).

• (2) The field names of the output type must be the same or a subset of the field names of the input type; they also must have the same order. Casting to a subset of field names “selects” those fields such that each output field matches the data of the input field with the same name.

• (3) The list offsets are unchanged, the list values are cast from the input value type to the output value type (if a conversion is available).

• (4) Offsets are unchanged, the keys and values are cast from respective input to output types (if a conversion is available). If output type is a list of struct, the key field is output as the first field and the value field the second field, regardless of field names chosen.

• (5) Any input type that can be cast to the resulting extension’s storage type. This excludes extension types, unless being cast to the same extension type.

Temporal component extraction

These functions extract datetime components (year, month, day, etc) from temporal types. For timestamps inputs with non-empty timezone, localized timestamp components will be returned.

Function name	Arity	Input types	Output type	Options class	Notes
day	Unary	Temporal	Int64
day_of_week	Unary	Temporal	Int64	DayOfWeekOptions	(1)
day_of_year	Unary	Temporal	Int64
hour	Unary	Timestamp, Time	Int64
is_dst	Unary	Timestamp	Boolean
iso_week	Unary	Temporal	Int64		(2)
iso_year	Unary	Temporal	Int64		(2)
iso_calendar	Unary	Temporal	Struct		(3)
is_leap_year	Unary	Timestamp, Date	Boolean
microsecond	Unary	Timestamp, Time	Int64
millisecond	Unary	Timestamp, Time	Int64
minute	Unary	Timestamp, Time	Int64
month	Unary	Temporal	Int64
nanosecond	Unary	Timestamp, Time	Int64
quarter	Unary	Temporal	Int64
second	Unary	Timestamp, Time	Int64
subsecond	Unary	Timestamp, Time	Float64
us_week	Unary	Temporal	Int64		(4)
us_year	Unary	Temporal	Int64		(4)
week	Unary	Timestamp	Int64	WeekOptions	(5)
year	Unary	Temporal	Int64
year_month_day	Unary	Temporal	Struct		(6)

• (1) Outputs the number of the day of the week. By default week begins on Monday represented by 0 and ends on Sunday represented by 6. Day numbering can start with 0 or 1 based on DayOfWeekOptions::count_from_zero parameter. DayOfWeekOptions::week_start can be used to set the starting day of the week using ISO convention (Monday=1, Sunday=7). DayOfWeekOptions::week_start parameter is not affected by DayOfWeekOptions::count_from_zero.

• (2) First ISO week has the majority (4 or more) of it’s days in January. ISO year starts with the first ISO week. ISO week starts on Monday. See ISO 8601 week date definition for more details.

• (3) Output is a {"iso_year": output type, "iso_week": output type, "iso_day_of_week":  output type} Struct.

• (4) First US week has the majority (4 or more) of its days in January. US year starts with the first US week. US week starts on Sunday.

• (5) Returns week number allowing for setting several parameters. If WeekOptions::week_starts_monday is true, the week starts with Monday, else Sunday if false. If WeekOptions::count_from_zero is true, dates from the current year that fall into the last ISO week of the previous year are numbered as week 0, else week 52 or 53 if false. If WeekOptions::first_week_is_fully_in_year is true, the first week (week 1) must fully be in January; else if false, a week that begins on December 29, 30, or 31 is considered the first week of the new year.

• (6) Output is a {"year": int64(), "month": int64(), "day": int64()} Struct.

Temporal difference

These functions compute the difference between two timestamps in the specified unit. The difference is determined by the number of boundaries crossed, not the span of time. For example, the difference in days between 23:59:59 on one day and 00:00:01 on the next day is one day (since midnight was crossed), not zero days (even though less than 24 hours elapsed). Additionally, if the timestamp has a defined timezone, the difference is calculated in the local timezone. For instance, the difference in years between “2019-12-31 18:00:00-0500” and “2019-12-31 23:00:00-0500” is zero years, because the local year is the same, even though the UTC years would be different.

Function name	Arity	Input types	Output type	Options class
day_time_interval_between	Binary	Temporal	DayTime interval
days_between	Binary	Timestamp, Date	Int64
hours_between	Binary	Temporal	Int64
microseconds_between	Binary	Temporal	Int64
milliseconds_between	Binary	Temporal	Int64
minutes_between	Binary	Temporal	Int64
month_day_nano_interval_between	Binary	Temporal	MonthDayNano interval
month_interval_between	Binary	Timestamp, Date	Month interval
nanoseconds_between	Binary	Temporal	Int64
quarters_between	Binary	Timestamp, Date	Int64
seconds_between	Binary	Temporal	Int64
weeks_between	Binary	Timestamp, Date	Int64	DayOfWeekOptions
years_between	Binary	Timestamp, Date	Int64

Timezone handling

assume_timezone function is meant to be used when an external system produces “timezone-naive” timestamps which need to be converted to “timezone-aware” timestamps (see for example the definition in the Python documentation).

Input timestamps are assumed to be relative to the timezone given in AssumeTimezoneOptions::timezone. They are converted to UTC-relative timestamps with the timezone metadata set to the above value. An error is returned if the timestamps already have the timezone metadata set.

local_timestamp function converts UTC-relative timestamps to local “timezone-naive” timestamps. The timezone is taken from the timezone metadata of the input timestamps. This function is the inverse of assume_timezone. Please note: all temporal functions already operate on timestamps as if they were in local time of the metadata provided timezone. Using local_timestamp is only meant to be used when an external system expects local timestamps.

Function name	Arity	Input types	Output type	Options class	Notes
assume_timezone	Unary	Timestamp	Timestamp	AssumeTimezoneOptions	(1)
local_timestamp	Unary	Timestamp	Timestamp		(2)

• (1) In addition to the timezone value, AssumeTimezoneOptions allows choosing the behaviour when a timestamp is ambiguous or nonexistent in the given timezone (because of DST shifts).

Random number generation

This function generates an array of uniformly-distributed double-precision numbers in range [0, 1). The options provide the length of the output and the algorithm for generating the random numbers, using either a seed or a system-provided, platform-specific random generator.

Function name	Arity	Output type	Options class
random	Nullary	Float64	RandomOptions

Array-wise (“vector”) functions

Cumulative Functions

Cumulative functions are vector functions that perform a running accumulation on their input using a given binary associative operation with an identidy element (a monoid) and output an array containing the corresponding intermediate running values. The input is expected to be of numeric type. By default these functions do not detect overflow. They are alsoavailable in an overflow-checking variant, suffixed _checked, which returns an Invalid Status when overflow is detected.

Function name	Arity	Input types	Output type	Options class	Notes
cumulative_sum	Unary	Numeric	Numeric	CumulativeOptions	(1)
cumulative_sum_checked	Unary	Numeric	Numeric	CumulativeOptions	(1)
cumulative_prod	Unary	Numeric	Numeric	CumulativeOptions	(1)
cumulative_prod_checked	Unary	Numeric	Numeric	CumulativeOptions	(1)
cumulative_max	Unary	Numeric	Numeric	CumulativeOptions	(1)
cumulative_min	Unary	Numeric	Numeric	CumulativeOptions	(1)
cumulative_mean	Unary	Numeric	Float64	CumulativeOptions	(1) (2)

• (1) CumulativeOptions has two optional parameters. The first parameter CumulativeOptions::start is a starting value for the running accumulation. It has a default value of 0 for sum, 1 for prod, min of input type for max, and max of input type for min. Specified values of start must be castable to the input type. The second parameter CumulativeOptions::skip_nulls is a boolean. When set to false (the default), the first encountered null is propagated. When set to true, each null in the input produces a corresponding null in the output and doesn’t affect the accumulation forward.

• (2) CumulativeOptions::start is ignored.

Associative transforms

Function name	Arity	Input types	Output type	Notes
dictionary_encode	Unary	Boolean, Null, Numeric, Temporal, Binary- and String-like	Dictionary	(1)
unique	Unary	Boolean, Null, Numeric, Temporal, Binary- and String-like	Input type	(2)
value_counts	Unary	Boolean, Null, Numeric, Temporal, Binary- and String-like	Input type	(3)

• (1) Output is Dictionary(Int32, input type).

• (2) Duplicates are removed from the output while the original order is maintained.

• (3) Output is a {"values": input type, "counts": Int64} Struct. Each output element corresponds to a unique value in the input, along with the number of times this value has appeared.

Selections

These functions select and return a subset of their input.

Function name	Arity	Input type 1	Input type 2	Output type	Options class	Notes
array_filter	Binary	Any	Boolean	Input type 1	FilterOptions	(2)
array_take	Binary	Any	Integer	Input type 1	TakeOptions	(3)
drop_null	Unary	Any		Input type 1		(1)
filter	Binary	Any	Boolean	Input type 1	FilterOptions	(2)
take	Binary	Any	Integer	Input type 1	TakeOptions	(3)

• (1) Each element in the input is appended to the output iff it is non-null. If the input is a record batch or table, any null value in a column drops the entire row.

• (2) Each element in input 1 (the values) is appended to the output iff the corresponding element in input 2 (the filter) is true. How nulls in the filter are handled can be configured using FilterOptions.

• (3) For each element i in input 2 (the indices), the i’th element in input 1 (the values) is appended to the output.

Containment tests

This function returns the indices at which array elements are non-null and non-zero.

Function name	Arity	Input types	Output type	Options class	Notes
indices_nonzero	Unary	Boolean, Null, Numeric, Decimal	UInt64

Sorts and partitions

By default, in these functions, nulls are considered greater than any other value (they will be sorted or partitioned at the end of the array). Floating-point NaN values are considered greater than any other non-null value, but smaller than nulls. This behaviour can be changed using the null_placement setting in the respective option classes.

Note

Binary- and String-like inputs are ordered lexicographically as bytestrings, even for String types.

Function name	Arity	Input types	Output type	Options class	Notes
array_sort_indices	Unary	Boolean, Numeric, Temporal, Binary- and String-like	UInt64	ArraySortOptions	(1) (2)
partition_nth_indices	Unary	Boolean, Numeric, Temporal, Binary- and String-like	UInt64	PartitionNthOptions	(3)
rank	Unary	Boolean, Numeric, Temporal, Binary- and String-like	UInt64	RankOptions	(4)
select_k_unstable	Unary	Boolean, Numeric, Temporal, Binary- and String-like	UInt64	SelectKOptions	(5) (6)
sort_indices	Unary	Boolean, Numeric, Temporal, Binary- and String-like	UInt64	SortOptions	(1) (5)

• (1) The output is an array of indices into the input, that define a stable sort of the input.

• (2) The input must be an array. The default order is ascending.

• (3) The output is an array of indices into the input array, that define a partial non-stable sort such that the N’th index points to the N’th element in sorted order, and all indices before the N’th point to elements less or equal to elements at or after the N’th (similar to std::nth_element()). N is given in PartitionNthOptions::pivot.

• (4) The output is a one-based numerical array of ranks

• (5) The input can be an array, chunked array, record batch or table. If the input is a record batch or table, one or more sort keys must be specified.

• (6) The output is an array of indices into the input, that define a non-stable sort of the input.

Structural transforms

Function name	Arity	Input types	Output type	Options class	Notes
list_element	Binary	List-like (Arg 0), Integral (Arg 1)	List value type		(1)
list_flatten	Unary	List-like	List value type		(2)
list_parent_indices	Unary	List-like	Int64		(3)
list_slice	Unary	List-like	List-like	ListSliceOptions	(4)
map_lookup	Unary	Map	Computed	MapLookupOptions	(5)
struct_field	Unary	Struct or Union	Computed	StructFieldOptions	(6)

• (1) Output is an array of the same length as the input list array. The output values are the values at the specified index of each child list.

• (2) The top level of nesting is removed: all values in the list child array, including nulls, are appended to the output. However, nulls in the parent list array are discarded.

• (3) For each value in the list child array, the index at which it is found in the list array is appended to the output. Nulls in the parent list array are discarded.

• (4) For each list element, compute the slice of that list element, then return another list-like array of those slices. Can return either a fixed or variable size list-like array, as determined by options provided.

• (5) Extract either the FIRST, LAST or ALL items from a map whose key match the given query key passed via options. The output type is an Array of items for the FIRST/LAST options and an Array of List of items for the ALL option.

• (6) Extract a child value based on a sequence of indices passed in the options. The validity bitmap of the result will be the intersection of all intermediate validity bitmaps. For example, for an array with type struct<a: int32, b: struct<c: int64, d: float64>>:

  • An empty sequence of indices yields the original value unchanged.

  • The index 0 yields an array of type int32 whose validity bitmap is the intersection of the bitmap for the outermost struct and the bitmap for the child a.

  • The index 1, 1 yields an array of type float64 whose validity bitmap is the intersection of the bitmaps for the outermost struct, for struct b, and for the child d.

  For unions, a validity bitmap is synthesized based on the type codes. Also, the index is always the child index and not a type code. Hence for array with type sparse_union<2: int32, 7: utf8>:

  • The index 0 yields an array of type int32, which is valid at an index n if and only if the child array a is valid at index n and the type code at index n is 2.

  • The indices 2 and 7 are invalid.

These functions create a copy of the first input with some elements replaced, based on the remaining inputs.

Function name	Arity	Input type 1	Input type 2	Input type 3	Output type	Notes
fill_null_backward	Unary	Fixed-width or binary	N/A	N/A	N/A	(1)
fill_null_forward	Unary	Fixed-width or binary	N/A	N/A	N/A	(1)
replace_with_mask	Ternary	Fixed-width or binary	Boolean	Input type 1	Input type 1	(2)

• (1) Valid values are carried forward/backward to fill null values.

• (2) Each element in input 1 for which the corresponding Boolean in input 2 is true is replaced with the next value from input 3. A null in input 2 results in a corresponding null in the output.

  Also see: if_else.

Pairwise functions

Pairwise functions are unary vector functions that perform a binary operation on a pair of elements in the input array, typically on adjacent elements. The n-th output is computed by applying the binary operation to the n-th and (n-p)-th inputs, where p is the period. The default period is 1, in which case the binary operation is applied to adjacent pairs of inputs. The period can also be negative, in which case the n-th output is computed by applying the binary operation to the n-th and (n+abs(p))-th inputs.

Function name	Arity	Input types	Output type	Options class	Notes
pairwise_diff	Unary	Numeric/Temporal	Numeric/Temporal	PairwiseOptions	(1)(2)
pairwise_diff_checked	Unary	Numeric/Temporal	Numeric/Temporal	PairwiseOptions	(1)(3)

• (1) Computes the first order difference of an array, It internally calls the scalar function Subtract (or the checked variant) to compute differences, so its behavior and supported types are the same as Subtract. The period can be specified in PairwiseOptions.

• (2) Wraps around the result when overflow is detected.

• (3) Returns an Invalid Status when overflow is detected.