Aggregation Pipeline Operators
Note
For details on a specific operator, including syntax and examples, click on the link to the operator's reference page.
Expression Operators
These expression operators are available to construct expressions for use in the aggregation pipeline stages.
Operator expressions are similar to functions that take arguments. In general, these expressions take an array of arguments and have the following form:
{ <operator>: [ <argument1>, <argument2> ... ] }
If operator accepts a single argument, you can omit the outer array designating the argument list:
{ <operator>: <argument> }
To avoid parsing ambiguity if the argument is a literal array, you must
wrap the literal array in a $literal
expression or keep
the outer array that designates the argument list.
Arithmetic Expression Operators
Arithmetic expressions perform mathematic operations on numbers. Some arithmetic expressions can also support date arithmetic.
Name | Description |
---|---|
Returns the absolute value of a number. | |
Adds numbers to return the sum, or adds numbers and a date to
return a new date. If adding numbers and a date, treats the
numbers as milliseconds. Accepts any number of argument
expressions, but at most, one expression can resolve to a
date. | |
Returns the smallest integer greater than or equal to the specified number. | |
Returns the result of dividing the first number by the
second. Accepts two argument expressions. | |
Raises e to the specified exponent. | |
Returns the largest integer less than or equal to the
specified number. | |
Calculates the natural log of a number. | |
Calculates the log of a number in the specified base. | |
Calculates the log base 10 of a number. | |
Returns the remainder of the first number divided by the
second. Accepts two argument expressions. | |
Multiplies numbers to return the product. Accepts any number
of argument expressions. | |
Raises a number to the specified exponent. | |
Rounds a number to to a whole integer or to a specified
decimal place. | |
Calculates the square root. | |
Returns the result of subtracting the second value from the
first. If the two values are numbers, return the difference.
If the two values are dates, return the difference in
milliseconds. If the two values are a date and a number in
milliseconds, return the resulting date. Accepts two argument
expressions. If the two values are a date and a number,
specify the date argument first as it is not meaningful to
subtract a date from a number. | |
Truncates a number to a whole integer or to a specified
decimal place. |
Array Expression Operators
Name | Description |
---|---|
Returns the element at the specified array index. | |
Converts an array of key value pairs to a document. | |
Concatenates arrays to return the concatenated array. | |
Selects a subset of the array to return an array with only
the elements that match the filter condition. | |
Returns the first array element. Distinct from $first accumulator. | |
Returns a boolean indicating whether a specified value is in
an array. | |
Searches an array for an occurrence of a specified value and
returns the array index of the first occurrence. If the
substring is not found, returns -1 . | |
Determines if the operand is an array. Returns a boolean. | |
Returns the last array element. Distinct from $last accumulator. | |
Applies a subexpression to each element of an array and
returns the array of resulting values in order. Accepts named
parameters. | |
Converts a document to an array of documents representing
key-value pairs. | |
Outputs an array containing a sequence of integers according
to user-defined inputs. | |
Applies an expression to each element in an array and
combines them into a single value. | |
Returns an array with the elements in reverse order. | |
Returns the number of elements in the array. Accepts a single
expression as argument. | |
Returns a subset of an array. | |
Merge two arrays together. |
Boolean Expression Operators
Boolean expressions evaluate their argument expressions as booleans and return a boolean as the result.
In addition to the false
boolean value, Boolean expression evaluates
as false
the following: null
, 0
, and undefined
values. The Boolean expression evaluates all other values as true
,
including non-zero numeric values and arrays.
Name | Description |
---|---|
Returns true only when all its expressions evaluate to
true . Accepts any number of argument expressions. | |
Returns the boolean value that is the opposite of its
argument expression. Accepts a single argument expression. | |
Returns true when any of its expressions evaluates to
true . Accepts any number of argument expressions. |
Comparison Expression Operators
Comparison expressions return a boolean except for $cmp
which returns a number.
The comparison expressions take two argument expressions and compare both value and type, using the specified BSON comparison order for values of different types.
Name | Description |
---|---|
Returns 0 if the two values are equivalent, 1 if the
first value is greater than the second, and -1 if the
first value is less than the second. | |
Returns true if the values are equivalent. | |
Returns true if the first value is greater than the
second. | |
Returns true if the first value is greater than or equal
to the second. | |
Returns true if the first value is less than the second. | |
Returns true if the first value is less than or equal to
the second. | |
Returns true if the values are not equivalent. |
Conditional Expression Operators
Name | Description |
---|---|
A ternary operator that evaluates one expression, and
depending on the result, returns the value of one of the
other two expressions. Accepts either three expressions in an
ordered list or three named parameters. | |
Returns either the non-null result of the first expression or
the result of the second expression if the first expression
results in a null result. Null result encompasses instances
of undefined values or missing fields. Accepts two
expressions as arguments. The result of the second expression
can be null. | |
Evaluates a series of case expressions. When it finds an
expression which evaluates to true , $switch executes
a specified expression and breaks out of the control flow. |
Custom Aggregation Expression Operators
Name | Description |
---|---|
Defines a custom accumulator function. New in version 4.4. | |
Defines a custom function. New in version 4.4. |
Data Size Operators
The following operators return the size of a data element:
Name | Description |
---|---|
Returns the size of a given string or binary data value's
content in bytes. | |
Returns the size in bytes of a given document (i.e. bsontype
Object ) when encoded as BSON. |
Date Expression Operators
The following operators returns date objects or components of a date object:
Name | Description |
---|---|
Constructs a BSON Date object given the date's constituent
parts. | |
Converts a date/time string to a date object. | |
Returns a document containing the constituent parts of a date. | |
Returns the date as a formatted string. | |
Returns the day of the month for a date as a number between 1
and 31. | |
Returns the day of the week for a date as a number between 1
(Sunday) and 7 (Saturday). | |
Returns the day of the year for a date as a number between 1
and 366 (leap year). | |
Returns the hour for a date as a number between 0 and 23. | |
Returns the weekday number in ISO 8601 format, ranging from
1 (for Monday) to 7 (for Sunday). | |
Returns the week number in ISO 8601 format, ranging from
1 to 53 . Week numbers start at 1 with the week
(Monday through Sunday) that contains the year's first
Thursday. | |
Returns the year number in ISO 8601 format. The year starts
with the Monday of week 1 (ISO 8601) and ends with the Sunday
of the last week (ISO 8601). | |
Returns the milliseconds of a date as a number between 0 and
999. | |
Returns the minute for a date as a number between 0 and 59. | |
Returns the month for a date as a number between 1 (January)
and 12 (December). | |
Returns the seconds for a date as a number between 0 and 60
(leap seconds). | |
Converts value to a Date. New in version 4.0. | |
Returns the week number for a date as a number between 0 (the
partial week that precedes the first Sunday of the year) and
53 (leap year). | |
Returns the year for a date as a number (e.g. 2014). |
The following arithmetic operators can take date operands:
Name | Description |
---|---|
Adds numbers and a date to return a new date. If adding
numbers and a date, treats the numbers as milliseconds.
Accepts any number of argument expressions, but at most, one
expression can resolve to a date. | |
Returns the result of subtracting the second value from the
first. If the two values are dates, return the difference in
milliseconds. If the two values are a date and a number in
milliseconds, return the resulting date. Accepts two argument
expressions. If the two values are a date and a number,
specify the date argument first as it is not meaningful to
subtract a date from a number. |
Literal Expression Operator
Miscellaneous Operators
Name | Description |
---|---|
Returns a random float between 0 and 1 New in version 4.4.2. | |
Randomly select documents at a given rate. Although the exact number of documents selected varies on each run, the quantity chosen approximates the sample rate expressed as a percentage of the total number of documents. New in version 4.4.2. |
Object Expression Operators
Name | Description |
---|---|
Combines multiple documents into a single document. New in version 3.6. | |
Converts a document to an array of documents representing key-value pairs. New in version 3.6. |
Set Expression Operators
Set expressions performs set operation on arrays, treating arrays as sets. Set expressions ignores the duplicate entries in each input array and the order of the elements.
If the set operation returns a set, the operation filters out duplicates in the result to output an array that contains only unique entries. The order of the elements in the output array is unspecified.
If a set contains a nested array element, the set expression does not descend into the nested array but evaluates the array at top-level.
Name | Description |
---|---|
Returns true if no element of a set evaluates to
false , otherwise, returns false . Accepts a single
argument expression. | |
Returns true if any elements of a set evaluate to
true ; otherwise, returns false . Accepts a single
argument expression. | |
Returns a set with elements that appear in the first set
but not in the second set; i.e. performs a relative
complement
of the second set relative to the first. Accepts exactly
two argument expressions. | |
Returns true if the input sets have the same distinct
elements. Accepts two or more argument expressions. | |
Returns a set with elements that appear in all of the
input sets. Accepts any number of argument expressions. | |
Returns true if all elements of the first set appear
in the second set, including when the first set equals the
second set; i.e. not a strict subset. Accepts exactly
two argument expressions. | |
Returns a set with elements that appear in any of the
input sets. |
String Expression Operators
String expressions, with the exception of
$concat
, only have a well-defined behavior for strings of ASCII characters.
$concat
behavior is well-defined regardless of
the characters used.
Name | Description |
---|---|
Concatenates any number of strings. | |
Converts a date/time string to a date object. | |
Returns the date as a formatted string. | |
Searches a string for an occurrence of a substring and returns
the UTF-8 byte index of the first occurrence. If the substring
is not found, returns -1 . | |
Searches a string for an occurrence of a substring and returns
the UTF-8 code point index of the first occurrence. If the
substring is not found, returns -1 | |
Removes whitespace or the specified characters from the beginning of a string. New in version 4.0. | |
Applies a regular expression (regex) to a string and returns information on the first matched substring. New in version 4.2. | |
Applies a regular expression (regex) to a string and returns information on the all matched substrings. New in version 4.2. | |
Applies a regular expression (regex) to a string and returns a boolean that indicates if a match is found or not. New in version 4.2. | |
Replaces the first instance of a matched string in a given input. New in version 4.4. | |
Replaces all instances of a matched string in a given input. New in version 4.4. | |
Removes whitespace or the specified characters from the end of a string. New in version 4.0. | |
Splits a string into substrings based on a delimiter. Returns
an array of substrings. If the delimiter is not found within
the string, returns an array containing the original string. | |
Returns the number of UTF-8 encoded bytes in a string. | |
Returns the number of UTF-8 code points in a string. | |
Performs case-insensitive string comparison and returns:
0 if two strings are equivalent, 1 if the first
string is greater than the second, and -1 if the first
string is less than the second. | |
Deprecated. Use $substrBytes or
$substrCP . | |
Returns the substring of a string. Starts with the character
at the specified UTF-8 byte index (zero-based) in the string
and continues for the specified number of bytes. | |
Returns the substring of a string. Starts with the character
at the specified UTF-8 code point (CP) index
(zero-based) in the string and continues for the number of
code points specified. | |
Converts a string to lowercase. Accepts a single argument
expression. | |
Converts value to a string. New in version 4.0. | |
Removes whitespace or the specified characters from the beginning and end of a string. New in version 4.0. | |
Converts a string to uppercase. Accepts a single argument
expression. |
Text Expression Operator
Name | Description |
---|---|
Access available per-document metadata related to the
aggregation operation. |
Trigonometry Expression Operators
Trigonometry expressions perform trigonometric operations on numbers.
Values that represent angles are always input or output in radians. Use
$degreesToRadians
and $radiansToDegrees
to
convert between degree and radian measurements.
Name | Description |
---|---|
Returns the sine of a value that is measured in radians. | |
Returns the cosine of a value that is measured in radians. | |
Returns the tangent of a value that is measured in radians. | |
Returns the inverse sin (arc sine) of a value in radians. | |
Returns the inverse cosine (arc cosine) of a value in radians. | |
Returns the inverse tangent (arc tangent) of a value in
radians. | |
Returns the inverse tangent (arc tangent) of y / x in
radians, where y and x are the first and second
values passed to the expression respectively. | |
Returns the inverse hyperbolic sine (hyperbolic arc sine) of a
value in radians. | |
Returns the inverse hyperbolic cosine (hyperbolic arc cosine)
of a value in radians. | |
Returns the inverse hyperbolic tangent (hyperbolic arc
tangent) of a value in radians. | |
Returns the hyperbolic sine of a value that is measured in
radians. | |
Returns the hyperbolic cosine of a value that is measured in
radians. | |
Returns the hyperbolic tangent of a value that is measured in
radians. | |
Converts a value from degrees to radians. | |
Converts a value from radians to degrees. |
Type Expression Operators
Name | Description |
---|---|
Converts a value to a specified type. New in version 4.0. | |
Converts value to a boolean. New in version 4.0. | |
Converts value to a Date. New in version 4.0. | |
Converts value to a Decimal128. New in version 4.0. | |
Converts value to a double. New in version 4.0. | |
Converts value to an integer. New in version 4.0. | |
Converts value to a long. New in version 4.0. | |
Converts value to an ObjectId. New in version 4.0. | |
Converts value to a string. New in version 4.0. | |
Return the BSON data type of the field. |
Accumulators ($group
)
Available for use in the $group
stage, accumulators are
operators that maintain their state (e.g. totals, maximums, minimums,
and related data) as documents progress through the pipeline.
When used as accumulators in the $group
stage, these
operators take as input a single expression, evaluating the expression
once for each input document, and maintain their stage for the group of
documents that share the same group key.
Name | Description |
---|---|
Returns the result of a user-defined accumulator function. | |
Returns an array of unique expression values for each
group. Order of the array elements is undefined. | |
Returns an average of numerical values. Ignores non-numeric values. | |
Returns a value from the first document for each group. Order is only defined if the documents are in a defined order. Distinct from the | |
Returns a value from the last document for each group. Order is only defined if the documents are in a defined order. Distinct from the | |
Returns the highest expression value for each group. | |
Returns a document created by combining the input documents
for each group. | |
Returns the lowest expression value for each group. | |
Returns an array of expression values for each group. | |
Returns the population standard deviation of the input values. | |
Returns the sample standard deviation of the input values. | |
Returns a sum of numerical values. Ignores non-numeric values. |
Accumulators (in Other Stages)
Some operators that are available as accumulators for the
$group
stage are also available for use in other stages but
not as accumulators. When used in these other stages, these operators
do not maintain their state and can take as input either a single
argument or multiple arguments. For details, refer to the specific
operator page.
Changed in version 3.2.
The following accumulator operators are also available in the
$project
, $addFields
, and $set
stages.
Name | Description |
---|---|
Returns an average of the specified expression or list of
expressions for each document. Ignores non-numeric values. | |
Returns the maximum of the specified expression or list of
expressions for each document | |
Returns the minimum of the specified expression or list of
expressions for each document | |
Returns the population standard deviation of the input values. | |
Returns the sample standard deviation of the input values. | |
Returns a sum of numerical values. Ignores non-numeric values. |
Variable Expression Operators
Name | Description |
---|---|
Defines variables for use within the scope of a subexpression and returns the result of the subexpression. Accepts named parameters. Accepts any number of argument expressions. |
Alphabetical Listing of Expression Operators
Name | Description |
---|---|
Returns the absolute value of a number. | |
Returns the result of a user-defined accumulator function. | |
Returns the inverse cosine (arc cosine) of a value in radians. | |
Returns the inverse hyperbolic cosine (hyperbolic arc cosine) of a value in radians. | |
Adds numbers to return the sum, or adds numbers and a date to return
a new date. If adding numbers and a date, treats the numbers as
milliseconds. Accepts any number of argument expressions, but at
most, one expression can resolve to a date. | |
Returns an array of unique expression values for each group. Order of the array elements is undefined. Available in | |
Returns true if no element of a set evaluates to false ,
otherwise, returns false . Accepts a single argument expression. | |
Returns true only when all its expressions evaluate to
true . Accepts any number of argument expressions. | |
Returns true if any elements of a set evaluate to true ;
otherwise, returns false . Accepts a single argument expression. | |
Returns the element at the specified array index. | |
Converts an array of key value pairs to a document. | |
Returns the inverse sine (arc sine) of a value in radians. | |
Returns the inverse hyperbolic sin (hyperbolic arc sine) of a value in radians. | |
Returns the inverse tangent (arc tangent) of a value in radians. | |
Returns the inverse tangent (arc tangent) of y / x in radians,
where y and x are the first and second values passed to the
expression respectively. | |
Returns the inverse hyperbolic tangent (hyperbolic arc tangent) of a value in radians. | |
Returns the size of a given string or binary data value's content in bytes. New in version 4.4. | |
Returns the size in bytes of a given document (i.e. bsontype
New in version 4.4. | |
Returns the smallest integer greater than or equal to the specified number. | |
Returns: 0 if the two values are
equivalent, 1 if the first value is greater than the
second, and -1 if the first value is less than the
second. | |
Concatenates any number of strings. | |
Concatenates arrays to return the concatenated array. | |
A ternary operator that evaluates one expression, and depending on
the result, returns the value of one of the other two expressions.
Accepts either three expressions in an ordered list or three named
parameters. | |
Converts a value to a specified type. | |
Returns the cosine of a value that is measured in radians. | |
Returns the hyperbolic cosine of a value that is measured in
radians. | |
Constructs a BSON Date object given the date's constituent
parts. | |
Returns a document containing the constituent parts of a date. | |
Returns a date/time as a date object. | |
Returns the date as a formatted string. | |
Returns the day of the month for a date as a number between 1 and 31. | |
Returns the day of the week for a date as a number between 1 (Sunday)
and 7 (Saturday). | |
Returns the day of the year for a date as a number between 1 and 366
(leap year). | |
Converts a value from degrees to radians. | |
Returns the result of dividing the first number by the second. Accepts
two argument expressions. | |
Returns true if the values are
equivalent. | |
Raises e to the specified exponent. | |
Selects a subset of the array to return an array with only the elements
that match the filter condition. | |
Returns a value from the first document for each group. Order is only defined if the documents are in a defined order. Available in | |
Returns the first array element. New in version 4.4. | |
Returns the largest integer less than or equal to the specified number. | |
Defines a custom aggregation function. New in version 4.4. | |
Returns true if the first value is
greater than the second. | |
Returns true if the first value is
greater than or equal to the second. | |
Returns the hour for a date as a number between 0 and 23. | |
Returns either the non-null result of the first expression or the
result of the second expression if the first expression results in a
null result. Null result encompasses instances of undefined values or
missing fields. Accepts two expressions as arguments. The result of
the second expression can be null. | |
Returns a boolean indicating whether a specified value is in an array. | |
Searches an array for an occurrence of a specified value and returns
the array index of the first occurrence. If the substring is not found,
returns -1 . | |
Searches a string for an occurrence of a substring and returns the
UTF-8 byte index of the first occurrence. If the substring is not
found, returns -1 . | |
Searches a string for an occurrence of a substring and returns the
UTF-8 code point index of the first occurrence. If the
substring is not found, returns -1 . | |
Determines if the operand is an array. Returns a boolean. | |
Determines if the expression resolves to an integer, double, decimal,
or long. | |
Returns the weekday number in ISO 8601 format, ranging from
1 (for Monday) to 7 (for Sunday). | |
Returns the week number in ISO 8601 format, ranging
from 1 to 53 . Week
numbers start at 1 with the week (Monday through Sunday)
that contains the year's first Thursday. | |
Returns the year number in ISO 8601 format. The year starts
with the Monday of week 1 (ISO 8601) and ends with the Sunday of the
last week (ISO 8601). | |
Returns the last array element. Distinct from the New in version 4.4. | |
Defines variables for use within the scope of a subexpression and returns the result of the subexpression. Accepts named parameters. Accepts any number of argument expressions. | |
Return a value without parsing. Use for values that the aggregation
pipeline may interpret as an expression. For example, use a
$literal expression to a string that starts with a
$ to avoid parsing as a field path. | |
Calculates the natural log of a number. | |
Calculates the log of a number in the specified base. | |
Calculates the log base 10 of a number. | |
Returns true if the first value is less
than the second. | |
Returns true if the first value is less
than or equal to the second. | |
Removes whitespace or the specified characters from the beginning of a string. | |
Applies a subexpression to each element of an array and returns the
array of resulting values in order. Accepts named parameters. | |
Combines multiple documents into a single document. | |
Access available per-document metadata related to the
aggregation operation. | |
Returns the milliseconds of a date as a number between 0
and 999. | |
Returns the minute for a date as a number between 0 and 59. | |
Returns the remainder of the first number divided by the second.
Accepts two argument expressions. | |
Returns the month for a date as a number between 1
(January) and 12 (December). | |
Multiplies numbers to return the product. Accepts any number of
argument expressions. | |
Returns true if the values are not
equivalent. | |
Returns the boolean value that is the opposite of its argument
expression. Accepts a single argument expression. | |
Converts a document to an array of documents representing key-value pairs. | |
Returns true when any of its expressions evaluates to true .
Accepts any number of argument expressions. | |
Raises a number to the specified exponent. | |
Returns an array of expression values for each group. Available in | |
Converts a value from radians to degrees. | |
Returns a random float between 0 and 1. New in version 4.4.2. | |
Outputs an array containing a sequence of integers according to
user-defined inputs. | |
Applies an expression to each element in an array and combines them
into a single value. | |
Applies a regular expression (regex) to a string and returns
information on the first matched substring. | |
Applies a regular expression (regex) to a string and returns
information on the all matched substrings. | |
Applies a regular expression (regex) to a string and returns
a boolean that indicates if a match is found or not. | |
Replaces the first instance of a matched string in a given input. New in version 4.4. | |
Replaces all instances of a matched string in a given input. New in version 4.4. | |
Returns an array with the elements in reverse order. | |
Rounds a number to a whole integer or to a specified decimal place. | |
Removes whitespace or the specified characters from the end of a string. | |
Randomly select documents at a given rate. Although the exact number of documents selected varies on each run, the quantity chosen approximates the sample rate expressed as a percentage of the total number of documents. New in version 4.4.2. | |
Returns the seconds for a date as a number between 0 and 60
(leap seconds). | |
Returns a set with elements that appear in the first set but not in
the second set; i.e. performs a
relative complement
of the second set relative to the first. Accepts exactly two
argument expressions. | |
Returns true if the input sets have the same distinct elements.
Accepts two or more argument expressions. | |
Returns a set with elements that appear in all of the input sets.
Accepts any number of argument expressions. | |
Returns true if all elements of the first set appear in the
second set, including when the first set equals the second set; i.e.
not a strict subset.
Accepts exactly two argument expressions. | |
Returns a set with elements that appear in any of the input sets. | |
Returns the number of elements in the array. Accepts a single
expression as argument. | |
Returns the sine of a value that is measured in radians. | |
Returns the hyperbolic sine of a value that is measured in
radians. | |
Returns a subset of an array. | |
Splits a string into substrings based on a delimiter. Returns an
array of substrings. If the delimiter is not found within the string,
returns an array containing the original string. | |
Calculates the square root. | |
Performs case-insensitive string comparison and returns: 0 if two
strings are equivalent, 1 if the first string is greater than the
second, and -1 if the first string is less than the second. | |
Returns the number of UTF-8 encoded bytes in a string. | |
Returns the number of UTF-8 code points in a string. | |
Deprecated. Use $substrBytes or $substrCP . | |
Returns the substring of a string. Starts with the
character at the specified UTF-8 byte index (zero-based) in the string
and continues for the specified number of bytes. | |
Returns the substring of a string. Starts with the
character at the specified UTF-8 code point (CP) index (zero-based)
in the string and continues for the number of code points specified. | |
Returns the result of subtracting the second value from the first. If
the two values are numbers, return the difference. If the two values
are dates, return the difference in milliseconds. If the two values
are a date and a number in milliseconds, return the resulting date.
Accepts two argument expressions. If the two values are a date and a
number, specify the date argument first as it is not meaningful to
subtract a date from a number. | |
Evaluates a series of case expressions. When it finds an expression
which evaluates to true , $switch executes a specified
expression and breaks out of the control flow. | |
Returns the tangent of a value that is measured in radians. | |
Returns the hyperbolic tangent of a value that is measured in
radians. | |
Converts value to a boolean. | |
Converts value to a Date. | |
Converts value to a Decimal128. | |
Converts value to a double. | |
Converts value to an integer. | |
Converts value to a long. | |
Converts value to an ObjectId. | |
Converts value to a string. | |
Converts a string to lowercase. Accepts a single argument expression. | |
Converts a string to uppercase. Accepts a single argument expression. | |
Removes whitespace or the specified characters from the beginning
and end of a string. | |
Truncates a number to a whole integer or to a specified decimal place. | |
Return the BSON data type of the field. | |
Returns the week number for a date as a number between 0 (the partial
week that precedes the first Sunday of the year) and 53 (leap year). | |
Returns the year for a date as a number (e.g. 2014). | |
Merge two arrays together. |
For the pipeline stages, see Aggregation Pipeline Stages.