Aggregation Pipeline Operators

MongoDB 5.0 is end of life as of October 2024. This version of the documentation is no longer supported. To upgrade your 5.0 deployment, see the MongoDB 6.0 upgrade procedures.

The aggregation pipeline operators are compatible with MongoDB Atlas and on-premise environments.

Note

For details on a specific operator, including syntax and examples, click on the link to the operator's reference page.

Compatibility

You can use the aggregation pipeline operators for deployments hosted in the following environments:

MongoDB Atlas: The fully managed service for MongoDB deployments in the cloud

MongoDB Enterprise: The subscription-based, self-managed version of MongoDB
MongoDB Community: The source-available, free-to-use, and self-managed version of MongoDB

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
`$abs`	Returns the absolute value of a number.
`$add`	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.
`$ceil`	Returns the smallest integer greater than or equal to the specified number.
`$divide`	Returns the result of dividing the first number by the second. Accepts two argument expressions.
`$exp`	Raises e to the specified exponent.
`$floor`	Returns the largest integer less than or equal to the specified number.
`$ln`	Calculates the natural log of a number.
`$log`	Calculates the log of a number in the specified base.
`$log10`	Calculates the log base 10 of a number.
`$mod`	Returns the remainder of the first number divided by the second. Accepts two argument expressions.
`$multiply`	Multiplies numbers to return the product. Accepts any number of argument expressions.
`$pow`	Raises a number to the specified exponent.
`$round`	Rounds a number to to a whole integer or to a specified decimal place.
`$sqrt`	Calculates the square root.
`$subtract`	Returns the result of subtracting the second value from the first. If the two values are numbers, return the difference. If the two values are dates, return the difference in milliseconds. If the two values are a date and a number in milliseconds, return the resulting date. Accepts two argument expressions. If the two values are a date and a number, specify the date argument first as it is not meaningful to subtract a date from a number.
`$trunc`	Truncates a number to a whole integer or to a specified decimal place.

Array Expression Operators

Name	Description
`$arrayElemAt`	Returns the element at the specified array index.
`$arrayToObject`	Converts an array of key value pairs to a document.
`$concatArrays`	Concatenates arrays to return the concatenated array.
`$filter`	Selects a subset of the array to return an array with only the elements that match the filter condition.
`$first`	Returns the first array element. Distinct from `$first` accumulator.
`$in`	Returns a boolean indicating whether a specified value is in an array.
`$indexOfArray`	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`.
`$isArray`	Determines if the operand is an array. Returns a boolean.
`$last`	Returns the last array element. Distinct from `$last` accumulator.
`$map`	Applies a subexpression to each element of an array and returns the array of resulting values in order. Accepts named parameters.
`$objectToArray`	Converts a document to an array of documents representing key-value pairs.
`$range`	Outputs an array containing a sequence of integers according to user-defined inputs.
`$reduce`	Applies an expression to each element in an array and combines them into a single value.
`$reverseArray`	Returns an array with the elements in reverse order.
`$size`	Returns the number of elements in the array. Accepts a single expression as argument.
`$slice`	Returns a subset of an array.
`$zip`	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
`$and`	Returns `true` only when all its expressions evaluate to `true`. Accepts any number of argument expressions.
`$not`	Returns the boolean value that is the opposite of its argument expression. Accepts a single argument expression.
`$or`	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
`$cmp`	Returns `0` if the two values are equivalent, `1` if the first value is greater than the second, and `-1` if the first value is less than the second.
`$eq`	Returns `true` if the values are equivalent.
`$gt`	Returns `true` if the first value is greater than the second.
`$gte`	Returns `true` if the first value is greater than or equal to the second.
`$lt`	Returns `true` if the first value is less than the second.
`$lte`	Returns `true` if the first value is less than or equal to the second.
`$ne`	Returns `true` if the values are not equivalent.

Conditional Expression Operators

Name	Description
`$cond`	A ternary operator that evaluates one expression, and depending on the result, returns the value of one of the other two expressions. Accepts either three expressions in an ordered list or three named parameters.
`$ifNull`	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.
`$switch`	Evaluates a series of case expressions. When it finds an expression which evaluates to `true`, `$switch` executes a specified expression and breaks out of the control flow.

Custom Aggregation Expression Operators

Name	Description
`$accumulator`	Defines a custom accumulator function.
`$function`	Defines a custom function.

Data Size Operators

The following operators return the size of a data element:

Name	Description
`$binarySize`	Returns the size of a given string or binary data value's content in bytes.
`$bsonSize`	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
`$dateAdd`	Adds a number of time units to a date object.
`$dateDiff`	Returns the difference between two dates.
`$dateFromParts`	Constructs a BSON Date object given the date's constituent parts.
`$dateFromString`	Converts a date/time string to a date object.
`$dateSubtract`	Subtracts a number of time units from a date object.
`$dateToParts`	Returns a document containing the constituent parts of a date.
`$dateToString`	Returns the date as a formatted string.
`$dateTrunc`	Truncates a date.
`$dayOfMonth`	Returns the day of the month for a date as a number between 1 and 31.
`$dayOfWeek`	Returns the day of the week for a date as a number between 1 (Sunday) and 7 (Saturday).
`$dayOfYear`	Returns the day of the year for a date as a number between 1 and 366 (leap year).
`$hour`	Returns the hour for a date as a number between 0 and 23.
`$isoDayOfWeek`	Returns the weekday number in ISO 8601 format, ranging from `1` (for Monday) to `7` (for Sunday).
`$isoWeek`	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.
`$isoWeekYear`	Returns the year number in ISO 8601 format. The year starts with the Monday of week 1 (ISO 8601) and ends with the Sunday of the last week (ISO 8601).
`$millisecond`	Returns the milliseconds of a date as a number between 0 and 999.
`$minute`	Returns the minute for a date as a number between 0 and 59.
`$month`	Returns the month for a date as a number between 1 (January) and 12 (December).
`$second`	Returns the seconds for a date as a number between 0 and 60 (leap seconds).
`$toDate`	Converts value to a Date.
`$week`	Returns the week number for a date as a number between 0 (the partial week that precedes the first Sunday of the year) and 53 (leap year).
`$year`	Returns the year for a date as a number (e.g. 2014).

The following arithmetic operators can take date operands:

Name	Description
`$add`	Adds numbers and a date to return a new date. If adding numbers and a date, treats the numbers as milliseconds. Accepts any number of argument expressions, but at most, one expression can resolve to a date.
`$subtract`	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

Name	Description
`$literal`	Return a value without parsing. Use for values that the aggregation pipeline may interpret as an expression. For example, use a `$literal` expression to a string that starts with a dollar sign (`$`) to avoid parsing as a field path.

Miscellaneous Operators

Name	Description
`$getField`	Returns the value of a specified field from a document. You can use `$getField` to retrieve the value of fields with names that contain periods (`.`) or start with dollar signs (`$`). New in version 5.0.
`$rand`	Returns a random float between 0 and 1
`$sampleRate`	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.

Object Expression Operators

Name	Description
`$mergeObjects`	Combines multiple documents into a single document. New in version 3.6.
`$objectToArray`	Converts a document to an array of documents representing key-value pairs. New in version 3.6.
`$setField`	Adds, updates, or removes a specified field in a document. You can use `$setField` to add, update, or remove fields with names that contain periods (`.`) or start with dollar signs (`$`). New in version 5.0.

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
`$allElementsTrue`	Returns `true` if no element of a set evaluates to `false`, otherwise, returns `false`. Accepts a single argument expression.
`$anyElementTrue`	Returns `true` if any elements of a set evaluate to `true`; otherwise, returns `false`. Accepts a single argument expression.
`$setDifference`	Returns a set with elements that appear in the first set but not in the second set; i.e. performs a relative complement of the second set relative to the first. Accepts exactly two argument expressions.
`$setEquals`	Returns `true` if the input sets have the same distinct elements. Accepts two or more argument expressions.
`$setIntersection`	Returns a set with elements that appear in all of the input sets. Accepts any number of argument expressions.
`$setIsSubset`	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.
`$setUnion`	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
`$concat`	Concatenates any number of strings.
`$dateFromString`	Converts a date/time string to a date object.
`$dateToString`	Returns the date as a formatted string.
`$indexOfBytes`	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`.
`$indexOfCP`	Searches a string for an occurrence of a substring and returns the UTF-8 code point index of the first occurrence. If the substring is not found, returns `-1`
`$ltrim`	Removes whitespace or the specified characters from the beginning of a string.
`$regexFind`	Applies a regular expression (regex) to a string and returns information on the first matched substring.
`$regexFindAll`	Applies a regular expression (regex) to a string and returns information on the all matched substrings.
`$regexMatch`	Applies a regular expression (regex) to a string and returns a boolean that indicates if a match is found or not.
`$replaceOne`	Replaces the first instance of a matched string in a given input.
`$replaceAll`	Replaces all instances of a matched string in a given input.
`$rtrim`	Removes whitespace or the specified characters from the end of a string.
`$split`	Splits a string into substrings based on a delimiter. Returns an array of substrings. If the delimiter is not found within the string, returns an array containing the original string.
`$strLenBytes`	Returns the number of UTF-8 encoded bytes in a string.
`$strLenCP`	Returns the number of UTF-8 code points in a string.
`$strcasecmp`	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.
`$substr`	Deprecated. Use `$substrBytes` or `$substrCP`.
`$substrBytes`	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.
`$substrCP`	Returns the substring of a string. Starts with the character at the specified UTF-8 code point (CP) index (zero-based) in the string and continues for the number of code points specified.
`$toLower`	Converts a string to lowercase. Accepts a single argument expression.
`$toString`	Converts value to a string.
`$trim`	Removes whitespace or the specified characters from the beginning and end of a string.
`$toUpper`	Converts a string to uppercase. Accepts a single argument expression.

Text Expression Operator

Name	Description
`$meta`	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
`$sin`	Returns the sine of a value that is measured in radians.
`$cos`	Returns the cosine of a value that is measured in radians.
`$tan`	Returns the tangent of a value that is measured in radians.
`$asin`	Returns the inverse sin (arc sine) of a value in radians.
`$acos`	Returns the inverse cosine (arc cosine) of a value in radians.
`$atan`	Returns the inverse tangent (arc tangent) of a value in radians.
`$atan2`	Returns the inverse tangent (arc tangent) of `y / x` in radians, where `y` and `x` are the first and second values passed to the expression respectively.
`$asinh`	Returns the inverse hyperbolic sine (hyperbolic arc sine) of a value in radians.
`$acosh`	Returns the inverse hyperbolic cosine (hyperbolic arc cosine) of a value in radians.
`$atanh`	Returns the inverse hyperbolic tangent (hyperbolic arc tangent) of a value in radians.
`$sinh`	Returns the hyperbolic sine of a value that is measured in radians.
`$cosh`	Returns the hyperbolic cosine of a value that is measured in radians.
`$tanh`	Returns the hyperbolic tangent of a value that is measured in radians.
`$degreesToRadians`	Converts a value from degrees to radians.
`$radiansToDegrees`	Converts a value from radians to degrees.

Type Expression Operators

Name	Description
`$convert`	Converts a value to a specified type.
`$isNumber`	Returns boolean `true` if the specified expression resolves to an `integer`, `decimal`, `double`, or `long`. Returns boolean `false` if the expression resolves to any other BSON type, `null`, or a missing field.
`$toBool`	Converts value to a boolean.
`$toDate`	Converts value to a Date.
`$toDecimal`	Converts value to a Decimal128.
`$toDouble`	Converts value to a double.
`$toInt`	Converts value to an integer.
`$toLong`	Converts value to a long.
`$toObjectId`	Converts value to an ObjectId.
`$toString`	Converts value to a string.
`$type`	Return the BSON data type of the field.

Accumulators (`$group, $bucket, $bucketAuto, $setWindowFields`)

Aggregation accumulator operators:

Maintain their state as documents progress through the aggregation pipeline.
Return totals, maxima, minima, and other values.
Can be used in these aggregation pipeline stages:
- $bucket
- $bucketAuto
- $group
- $setWindowFields starting in MongoDB 5.0 (except when you are using the $accumulator or $mergeObjects operators, which cannot be used with $setWindowFields)

Changed in version 5.0.

Name	Description
`$accumulator`	Returns the result of a user-defined accumulator function.
`$addToSet`	Returns an array of unique expression values for each group. Order of the array elements is undefined. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$avg`	Returns an average of numerical values. Ignores non-numeric values. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$count`	Returns the number of documents in a group. Distinct from the `$count` pipeline stage. New in version 5.0: Available in the `$group` and `$setWindowFields` stages.
`$first`	Returns the result of an expression for the first document in a group. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$last`	Returns the result of an expression for the last document in a group. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$max`	Returns the highest expression value for each group. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$mergeObjects`	Returns a document created by combining the input documents for each group.
`$min`	Returns the lowest expression value for each group. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$push`	Returns an array of expression values for documents in each group. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$stdDevPop`	Returns the population standard deviation of the input values. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$stdDevSamp`	Returns the sample standard deviation of the input values. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$sum`	Returns a sum of numerical values. Ignores non-numeric values. Changed in version 5.0: Available in the `$setWindowFields` stage.

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 5.0.

The following accumulator operators are also available in the $project, $addFields, $set, and, starting in MongoDB 5.0, the $setWindowFields stages.

Name	Description
`$avg`	Returns an average of the specified expression or list of expressions for each document. Ignores non-numeric values.
`$first`	Returns the result of an expression for the first document in a group.
`$last`	Returns the result of an expression for the last document in a group.
`$max`	Returns the maximum of the specified expression or list of expressions for each document
`$min`	Returns the minimum of the specified expression or list of expressions for each document
`$stdDevPop`	Returns the population standard deviation of the input values.
`$stdDevSamp`	Returns the sample standard deviation of the input values.
`$sum`	Returns a sum of numerical values. Ignores non-numeric values.

Variable Expression Operators

Name	Description
`$let`	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.

Window Operators

New in version 5.0.

Window operators return values from a defined span of documents from a collection, known as a window. A window is defined in the $setWindowFields stage, available starting in MongoDB 5.0.

The following window operators are available in the $setWindowFields stage.

Name	Description
`$addToSet`	Returns an array of all unique values that results from applying an expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$avg`	Returns the average for the specified expression. Ignores non-numeric values. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$count`	Returns the number of documents in the group or window. Distinct from the `$count` pipeline stage. New in version 5.0.
`$covariancePop`	Returns the population covariance of two numeric expressions. New in version 5.0.
`$covarianceSamp`	Returns the sample covariance of two numeric expressions. New in version 5.0.
`$denseRank`	Returns the document position (known as the rank) relative to other documents in the `$setWindowFields` stage partition. There are no gaps in the ranks. Ties receive the same rank. New in version 5.0.
`$derivative`	Returns the average rate of change within the specified window. New in version 5.0.
`$documentNumber`	Returns the position of a document (known as the document number) in the `$setWindowFields` stage partition. Ties result in different adjacent document numbers. New in version 5.0.
`$expMovingAvg`	Returns the exponential moving average for the numeric expression. New in version 5.0.
`$first`	Returns the result of an expression for the first document in a group or window. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$integral`	Returns the approximation of the area under a curve. New in version 5.0.
`$last`	Returns the result of an expression for the last document in a group or window. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$max`	Returns the maximum value that results from applying an expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$min`	Returns the minimum value that results from applying an expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$push`	Returns an array of values that result from applying an expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$rank`	Returns the document position (known as the rank) relative to other documents in the `$setWindowFields` stage partition. New in version 5.0.
`$shift`	Returns the value from an expression applied to a document in a specified position relative to the current document in the `$setWindowFields` stage partition. New in version 5.0.
`$stdDevPop`	Returns the population standard deviation that results from applying a numeric expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$stdDevSamp`	Returns the sample standard deviation that results from applying a numeric expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.
`$sum`	Returns the sum that results from applying a numeric expression to each document. Changed in version 5.0: Available in the `$setWindowFields` stage.

Alphabetical Listing of Expression Operators

Name	Description
`$abs`	Returns the absolute value of a number.
`$accumulator`	Returns the result of a user-defined accumulator function.
`$acos`	Returns the inverse cosine (arc cosine) of a value in radians.
`$acosh`	Returns the inverse hyperbolic cosine (hyperbolic arc cosine) of a value in radians.
`$add`	Adds numbers to return the sum, or adds numbers and a date to return a new date. If adding numbers and a date, treats the numbers as milliseconds. Accepts any number of argument expressions, but at most, one expression can resolve to a date.
`$addToSet`	Returns an array of unique expression values for each group. Order of the array elements is undefined. Changed in version 5.0: Available in `$setWindowFields` stage.
`$allElementsTrue`	Returns `true` if no element of a set evaluates to `false`, otherwise, returns `false`. Accepts a single argument expression.
`$and`	Returns `true` only when all its expressions evaluate to `true`. Accepts any number of argument expressions.
`$anyElementTrue`	Returns `true` if any elements of a set evaluate to `true`; otherwise, returns `false`. Accepts a single argument expression.
`$arrayElemAt`	Returns the element at the specified array index.
`$arrayToObject`	Converts an array of key value pairs to a document.
`$asin`	Returns the inverse sine (arc sine) of a value in radians.
`$asinh`	Returns the inverse hyperbolic sin (hyperbolic arc sine) of a value in radians.
`$atan`	Returns the inverse tangent (arc tangent) of a value in radians.
`$atan2`	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.
`$atanh`	Returns the inverse hyperbolic tangent (hyperbolic arc tangent) of a value in radians.
`$avg`	Returns an average of numerical values. Ignores non-numeric values. Changed in version 5.0: Available in `$setWindowFields` stage.
`$binarySize`	Returns the size of a given string or binary data value's content in bytes. New in version 4.4.
`$bsonSize`	Returns the size in bytes of a given document (i.e. bsontype `Object`) when encoded as BSON. New in version 4.4.
`$ceil`	Returns the smallest integer greater than or equal to the specified number.
`$cmp`	Returns: `0` if the two values are equivalent, `1` if the first value is greater than the second, and `-1` if the first value is less than the second.
`$concat`	Concatenates any number of strings.
`$concatArrays`	Concatenates arrays to return the concatenated array.
`$cond`	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.
`$convert`	Converts a value to a specified type.
`$cos`	Returns the cosine of a value that is measured in radians.
`$cosh`	Returns the hyperbolic cosine of a value that is measured in radians.
`$count`	Returns the number of documents in the group or window. New in version 5.0: Available in `$group` and `$setWindowFields` stages. Distinct from the `$count` pipeline stage.
`$covariancePop`	Returns the population covariance of two numeric expressions. New in version 5.0: Available in `$setWindowFields` stage.
`$covarianceSamp`	Returns the sample covariance of two numeric expressions. New in version 5.0: Available in `$setWindowFields` stage.
`$dateAdd`	Adds a number of time units to a date object.
`$dateDiff`	Returns the difference between two dates.
`$dateFromParts`	Constructs a BSON Date object given the date's constituent parts.
`$dateSubtract`	Subtracts a number of time units from a date object.
`$dateTrunc`	Truncates a date.
`$dateToParts`	Returns a document containing the constituent parts of a date.
`$dateFromString`	Returns a date/time as a date object.
`$dateToString`	Returns the date as a formatted string.
`$dayOfMonth`	Returns the day of the month for a date as a number between 1 and 31.
`$dayOfWeek`	Returns the day of the week for a date as a number between 1 (Sunday) and 7 (Saturday).
`$dayOfYear`	Returns the day of the year for a date as a number between 1 and 366 (leap year).
`$degreesToRadians`	Converts a value from degrees to radians.
`$denseRank`	Returns the relative position of a sorted document. There are no gaps in the positions. New in version 5.0: Available in `$setWindowFields` stage.
`$derivative`	Returns the average rate of change within the specified window. New in version 5.0: Available in `$setWindowFields` stage.
`$divide`	Returns the result of dividing the first number by the second. Accepts two argument expressions.
`$documentNumber`	Returns the position of a document (known as the document number) in the partition. New in version 5.0: Available in `$setWindowFields` stage.
`$eq`	Returns `true` if the values are equivalent.
`$exp`	Raises e to the specified exponent.
`$expMovingAvg`	Returns the exponential moving average for the numeric expression. New in version 5.0: Available in `$setWindowFields` stage.
`$filter`	Selects a subset of the array to return an array with only the elements that match the filter condition.
`$first`	Returns a value from the first document for each group. Order is only defined if the documents are sorted. Changed in version 5.0: Available in `$setWindowFields` stage.
`$floor`	Returns the largest integer less than or equal to the specified number.
`$function`	Defines a custom aggregation function. New in version 4.4.
`$getField`	Returns the value of a specified field from a document. You can use `$getField` to retrieve the value of fields with names that contain periods (`.`) or start with dollar signs (`$`).
`$gt`	Returns `true` if the first value is greater than the second.
`$gte`	Returns `true` if the first value is greater than or equal to the second.
`$hour`	Returns the hour for a date as a number between 0 and 23.
`$ifNull`	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.
`$in`	Returns a boolean indicating whether a specified value is in an array.
`$indexOfArray`	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`.
`$indexOfBytes`	Searches a string for an occurrence of a substring and returns the UTF-8 byte index of the first occurrence. If the substring is not found, returns `-1`.
`$indexOfCP`	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`.
`$integral`	Returns the approximation of the area under a curve. New in version 5.0: Available in `$setWindowFields` stage.
`$isArray`	Determines if the operand is an array. Returns a boolean.
`$isNumber`	Determines if the expression resolves to an integer, double, decimal, or long.
`$isoDayOfWeek`	Returns the weekday number in ISO 8601 format, ranging from `1` (for Monday) to `7` (for Sunday).
`$isoWeek`	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.
`$isoWeekYear`	Returns the year number in ISO 8601 format. The year starts with the Monday of week 1 (ISO 8601) and ends with the Sunday of the last week (ISO 8601).
`$last`	Returns a value from the last document for each group. Order is only defined if the documents are sorted. Changed in version 5.0: Available in `$setWindowFields` stage.
`$let`	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.
`$literal`	Return a value without parsing. Use for values that the aggregation pipeline may interpret as an expression. For example, use a `$literal` expression to a string that starts with a `$` to avoid parsing as a field path.
`$ln`	Calculates the natural log of a number.
`$log`	Calculates the log of a number in the specified base.
`$log10`	Calculates the log base 10 of a number.
`$lt`	Returns `true` if the first value is less than the second.
`$lte`	Returns `true` if the first value is less than or equal to the second.
`$ltrim`	Removes whitespace or the specified characters from the beginning of a string.
`$map`	Applies a subexpression to each element of an array and returns the array of resulting values in order. Accepts named parameters.
`$max`	Returns the highest expression value for each group. Changed in version 5.0: Available in `$setWindowFields` stage.
`$mergeObjects`	Combines multiple documents into a single document.
`$meta`	Access available per-document metadata related to the aggregation operation.
`$min`	Returns the lowest expression value for each group. Changed in version 5.0: Available in `$setWindowFields` stage.
`$millisecond`	Returns the milliseconds of a date as a number between 0 and 999.
`$minute`	Returns the minute for a date as a number between 0 and 59.
`$mod`	Returns the remainder of the first number divided by the second. Accepts two argument expressions.
`$month`	Returns the month for a date as a number between 1 (January) and 12 (December).
`$multiply`	Multiplies numbers to return the product. Accepts any number of argument expressions.
`$ne`	Returns `true` if the values are not equivalent.
`$not`	Returns the boolean value that is the opposite of its argument expression. Accepts a single argument expression.
`$objectToArray`	Converts a document to an array of documents representing key-value pairs.
`$or`	Returns `true` when any of its expressions evaluates to `true`. Accepts any number of argument expressions.
`$pow`	Raises a number to the specified exponent.
`$push`	Returns an array of expression values for documents in each group. Changed in version 5.0: Available in `$setWindowFields` stage.
`$radiansToDegrees`	Converts a value from radians to degrees.
`$rand`	Returns a random float between 0 and 1.
`$range`	Outputs an array containing a sequence of integers according to user-defined inputs.
`$rank`	Returns the document position (known as the rank) relative to other sorted documents. New in version 5.0: Available in `$setWindowFields` stage.
`$reduce`	Applies an expression to each element in an array and combines them into a single value.
`$regexFind`	Applies a regular expression (regex) to a string and returns information on the first matched substring.
`$regexFindAll`	Applies a regular expression (regex) to a string and returns information on the all matched substrings.
`$regexMatch`	Applies a regular expression (regex) to a string and returns a boolean that indicates if a match is found or not.
`$replaceOne`	Replaces the first instance of a matched string in a given input. New in version 4.4.
`$replaceAll`	Replaces all instances of a matched string in a given input. New in version 4.4.
`$reverseArray`	Returns an array with the elements in reverse order.
`$round`	Rounds a number to a whole integer or to a specified decimal place.
`$rtrim`	Removes whitespace or the specified characters from the end of a string.
`$sampleRate`	Randomly select documents at a given rate. Although the exact number of documents selected varies on each run, the quantity chosen approximates the sample rate expressed as a percentage of the total number of documents.
`$second`	Returns the seconds for a date as a number between 0 and 60 (leap seconds).
`$setDifference`	Returns a set with elements that appear in the first set but not in the second set; i.e. performs a relative complement of the second set relative to the first. Accepts exactly two argument expressions.
`$setEquals`	Returns `true` if the input sets have the same distinct elements. Accepts two or more argument expressions.
`$setField`	Adds, updates, or removes a specified field in a document. You can use `$setField` to add, update, or remove fields with names that contain periods (`.`) or start with dollar signs (`$`). New in version 5.0.
`$setIntersection`	Returns a set with elements that appear in all of the input sets. Accepts any number of argument expressions.
`$setIsSubset`	Returns `true` if all elements of the first set appear in the second set, including when the first set equals the second set; i.e. not a strict subset. Accepts exactly two argument expressions.
`$setUnion`	Returns a set with elements that appear in any of the input sets.
`$shift`	Returns the value from an expression applied to a document in a specified position relative to the current document in the output. New in version 5.0: Available in `$setWindowFields` stage.
`$size`	Returns the number of elements in the array. Accepts a single expression as argument.
`$sin`	Returns the sine of a value that is measured in radians.
`$sinh`	Returns the hyperbolic sine of a value that is measured in radians.
`$slice`	Returns a subset of an array.
`$split`	Splits a string into substrings based on a delimiter. Returns an array of substrings. If the delimiter is not found within the string, returns an array containing the original string.
`$sqrt`	Calculates the square root.
`$stdDevPop`	Returns the population standard deviation of the input values. Changed in version 5.0: Available in `$setWindowFields` stage.
`$stdDevSamp`	Returns the sample standard deviation of the input values. Changed in version 5.0: Available in `$setWindowFields` stage.
`$strcasecmp`	Performs case-insensitive string comparison and returns: `0` if two strings are equivalent, `1` if the first string is greater than the second, and `-1` if the first string is less than the second.
`$strLenBytes`	Returns the number of UTF-8 encoded bytes in a string.
`$strLenCP`	Returns the number of UTF-8 code points in a string.
`$substr`	Deprecated. Use `$substrBytes` or `$substrCP`.
`$substrBytes`	Returns the substring of a string. Starts with the character at the specified UTF-8 byte index (zero-based) in the string and continues for the specified number of bytes.
`$substrCP`	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.
`$subtract`	Returns the result of subtracting the second value from the first. If the two values are numbers, return the difference. If the two values are dates, return the difference in milliseconds. If the two values are a date and a number in milliseconds, return the resulting date. Accepts two argument expressions. If the two values are a date and a number, specify the date argument first as it is not meaningful to subtract a date from a number.
`$sum`	Returns a sum of numerical values. Ignores non-numeric values. Changed in version 5.0: Available in `$setWindowFields` stage.
`$switch`	Evaluates a series of case expressions. When it finds an expression which evaluates to `true`, `$switch` executes a specified expression and breaks out of the control flow.
`$tan`	Returns the tangent of a value that is measured in radians.
`$tanh`	Returns the hyperbolic tangent of a value that is measured in radians.
`$toBool`	Converts value to a boolean.
`$toDate`	Converts value to a Date.
`$toDecimal`	Converts value to a Decimal128.
`$toDouble`	Converts value to a double.
`$toInt`	Converts value to an integer.
`$toLong`	Converts value to a long.
`$toObjectId`	Converts value to an ObjectId.
`$toString`	Converts value to a string.
`$toLower`	Converts a string to lowercase. Accepts a single argument expression.
`$toUpper`	Converts a string to uppercase. Accepts a single argument expression.
`$trim`	Removes whitespace or the specified characters from the beginning and end of a string.
`$trunc`	Truncates a number to a whole integer or to a specified decimal place.
`$type`	Return the BSON data type of the field.
`$unsetField`	Removes a specified field from a document. An alias for `$setField` to remove fields with names that contain periods (`.`) or that start with dollar signs (`$`). New in version 5.0.
`$week`	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).
`$year`	Returns the year for a date as a number (e.g. 2014).
`$zip`	Merge two arrays together.

For the pipeline stages, see Aggregation Pipeline Stages.

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