Generic Functions in QPR ProcessAnalyzer

Aggregation functions

Following aggregation functions are available:

• Average: Average of the items (sum of items divided by count of items). Can be used for numbers, DateTimes and Timespans.
• Count: Number of items. Can be used for any type of data.
• Median: Median, i.e. the middle value of the sorted data. If there are even number of items, the average of the two middle items. Can be used for numbers, DateTimes and Timespans.
• Min: Lowest/first value in the data. Can be used for data that can be sorted.
• Max: Highest/last value in the data. Can be used for data that can be sorted.
• Percentile: Percentile value. Can be used for numbers, DateTimes and Timespans.
• Stdev: (Sample) standard deviation. Can be calculated for numbers, DateTimes and Timespans.
• Stdevp: (Population) standard deviation. Can be calculated for numbers, DateTimes and Timespans.
• Sum: Sum of the items. Can be used for numbers and Timespans.
• StringJoin: Joins array of strings together. The first parameter is a string that is placed between the joined strings.
• Var: (Sample) variance. Can be used for numbers.
• Varp: (Population) variance. Can be used for numbers.

Examples:

Sum([3, 2, 4])
Returns: 9

Count([[1, 2], [3, 4, 5]])
Returns: [2, 3]

Sum([[1, 2], [3, 4, 5]])
Returns: [3, 12]

Percentile([1,2,3,4,5], 0.75)
Return: 4

Sum([])
Returns: null

StringJoin(", ", ["one", "two", "three"])
Returns: one, two, three

When aggregating numerical values, null values are treated as zeros. Nulls can be removed with RemoveNulls function. In the Min and Max functions, nulls are ignored. Null values can be removed before aggregating (the following example shows how).

Average([1, 5, null])
Returns: 2

Average(RemoveNulls([1, 5, null])
Returns: 3

Aggregation operations are performed to the leaf level. i.e. the deepest level in the hierarchy. When aggregating, the leaf level arrays are replaced by the aggregated values, and thus the depth of the hierarchy decreases by one. In addition to the aggregation functions, functions that modify the contents of leaf arrays (OrderBy, Distinct, ...), the operation will be performed separately for every leaf array.

OrderByValue([[4, 3], [2, 1]])
Returns: [[3, 4], [1, 2]]

Mathematical functions

Function	Parameters	Description
Abs (Number)	Number	Calculates the absolute value of a specified number. Examples: Abs(4) Returns: 4 Abs(-2.7) Returns: 2.7 Abs(0) Returns: 0
Acos (Number)	Number	Calculates the angle whose cosine is the specified number. The parameter is a number representing a cosine, which must be between -1 and 1. Examples: Acos(0.3584) Returns: 1.204242852965772 Acos(-0.3584) Returns: 1.9373498006240213
ArgMax (Object)	Array or hierarchical object Value expression	Returns those objects in the array giving maximum values for the given expression when evaluated in the object's context. Examples: ArgMax([5, 1, 6, 4, 3, 3, 6, 5, 4, 1, 1], _) Returns: [6, 6] ArgMax(EventLogById(1).Cases, Duration) Returns: An array of cases having the longest duration.
ArgMin (Object)	Array or hierarchical object Value expression	Returns those objects in the array giving minimum values for the given expression when evaluated in the object's context. Examples: ArgMin([5, 1, 6, 4, 3, 3, 6, 5, 4, 1, 1], _) Returns: [1, 1, 1] ArgMin(EventLogById(1).Cases, Duration) Returns: An array of cases having the shortest duration.
Asin (Number)	Number	Calculates the angle whose sine is the specified number. The parameter is a number representing a sine, which must be between -1 and 1. Examples: Asin(-0.3584) Returns: 0.36655347382912462 Asin(+0.3584) Returns: -0.36655347382912462
Atan (Number)	Number	Calculates the angle whose tangent is the specified number. Examples: Atan(1) Returns: 0.78539816339744828 Atan(-1) Returns: -0.78539816339744828
Ceiling (Integer)	Number	Returns the smallest integer that is greater than or equal to the specified number. Example: Ceiling(1.3) Returns: 2
Cos (Number)	Number	Calculates the cosine of the specified angle measured in radians. Examples: Cos(1) Returns: 0.54030230586813977 Cos(-1) Returns: 0.54030230586813977
Exp (Number)	Number	Calculates the e raised to the specified power. Examples: Exp(1) Returns: 2.7182818284590451 Exp(-1) Returns: 0.36787944117144233
Floor (Integer)	Number	Returns the largest integer that is less than or equal to the specified number. Example: Floor(1.9) Returns: 1
IEEERemainder (Number)	Dividend (Number) Divisor (Number)	Calculates the remainder resulting from the division of a specified number by another specified number. Uses formula: dividend - (divisor * Round(dividend / divisor)) Note that the formula is different than in the % operator, which uses formula: (Abs(dividend) - (Abs(divisor) * (Floor(Math.Abs(dividend) / Abs(divisor))))) * Sign(dividend) Examples: IEEERemainder(26, 4) Returns: 2 IEEERemainder(0, 0) Returns: NaN
Log (Number)	Number Logarithm base (Number)	Calculates the logarithm of a specified number. If the second parameter is not provided, it's the natural logarithm (base e). The second parameter can be used to define another base for the logarithm. Examples: Log(5) Returns: 1.6094379124341003 Log(10, 2) Returns: 3.3219280948873626
Log10 (Number)	Number	Calculates the base 10 logarithm of a specified number. Examples: Log10(5) Returns: 0.69897000433601886 Log10(-5) Returns: NaN
Pow (Number)	Base number Exponent number	Calculate a specified number raised to the specified power. Examples: Pow(5, 3) Returns: 125 Pow(-5, 3) Returns: -125
Round (Float)	Number of decimals (Integer)	For numbers, rounds the number to the specified number of decimal. Number of decimals can also be negative, in which case the number is rounded to the nearest tens, hundreds, thousands, etc. For DateTimes, rounds given date time by given time span or given number of seconds. Note that the number and DateTime to be rounded needs to be provided as a context object (not as a parameter). Examples: (1.254).Round(1) Returns: 1.3 (162.111111).Round(-2) Returns: 200 DateTime(2017, 1, 2, 3, 4, 5).Round(10) Returns: DateTime(2017, 1, 2, 3, 4, 10) DateTime(2017, 1, 2, 3, 4, 5).Round(TimeSpan(1)) Returns: DateTime(2017, 1, 2)
Sign (Number)	Number	Calculates an integer that indicates the sign of a number, either -1, 0 or 1. Examples: Sign(10) Returns: 1 Sign(0) Returns: 0 Sign(10) Returns: -1
Sin (Number)	Number	Calculates the sine of the specified angle. Examples: Sin(3.14) Returns: 0.0015926529164868282 Sin(-3.14) Returns: -0.0015926529164868282
Sqrt (Number)	Number	Calculates the square root of a specified number. Examples: Sqrt(81) Returns: 9 Sqrt(0.9) Returns: 0.3
Tan (Number)	Number	Calculates the tangent of the specified angle. Examples: Tan(1) Returns: 1.5574077246549023 Tan(-1) Returns: -1.5574077246549023

Conversion functions

Function	Parameters	Description
ToFloat (Number)	Object to convert	Converts the given object to a decimal number.
ToInteger (Integer)	Object to convert	Converts the given object into an integer. If the object can not be converted into an integer, an exception will be thrown. If the object as a decimal number, it will also be rounded to the nearest integer. Examples: ToInteger(1.234) Returns: 1 ToInteger(-1.5) Returns: -2 ToInteger(1313.6) Returns: 1314 ToInteger(123456789012345678) Returns: 123456789012345678 ToInteger("5") Returns: 5 ToInteger("-5") Returns: -5
ToString (String)	Object to convert Date/Number/Timespan format (String)	Converts the given object to a string. The optional second parameter defines formatting that is needed when converting the following data types: Date: https://docs.microsoft.com/en-us/dotnet/standard/base-types/custom-date-and-time-format-strings Number: https://docs.microsoft.com/en-us/dotnet/standard/base-types/custom-numeric-format-strings Timespan: https://docs.microsoft.com/en-us/dotnet/standard/base-types/custom-timespan-format-strings Examples: ToString(1) + " < " + ToString(2) Returns: "1 < 2". "Case=\'" + ToString(a) + "\'" Returns: "Case='<string representation of object a>'" ToString(DateTime(2017,1,2,3,4,5,6)) Returns: "2017-01-02T03:04:05" ToString(DateTime(2017,1,2,3,4,5,6), "dd.MM.yyyy") Returns "02.01.2017" ToString(1.2, "0.00") Returns "1.20" ToString(TimeSpan(16,4,3,17,250), "%d") Returns "16"

Data connectors

Function	Parameters	Description
CallWebService (Dictionary)	Dictionary of parameters	CallWebService is a generic function for any kind of http requests. Support natively REST-style web services by automatically formatting and parsing json in the request and response, so dictionary/array objects are used without converting them to strings (see examples below). If using xml-based web services, formatting and parsing of xml needs to be taken care of manually. The function takes as a dictionary of following parameters: Address (string): Url address to connect to. Method (string): Http method to use, as one of the following: GET (default), POST, PUT, DELETE. Body (string/dictionary/array): The http request body. In case the request content type is application/json, dictionary/array can be used directly without string conversion. Content-Type (string): Defines the Content-Type http request header. If content type is application/x-www-form-urlencoded, form url encoding is applied for the request body. Timeout (integer): Time to wait before the request times out, in case no response is received earlier. Defined as integer in milliseconds. By default 60000 milliseconds. Headers (dictionary): Key-value pairs of HTTP request headers. QueryParameters (dictionary): Key-value pairs of query parameters that are added to the url. Proper encoding of the url is taken care of by the function. DefaultNetworkCredentials (boolean): When true, uses the default network credentials for the call. When false, the default network credentials are not used. The default network credentials can be used only if in the server configuration AllowForwardingNetworkCredentials setting is enabled. Encoding (string): Defines the body encoding to use. Default value is UTF8. The supported options are listed in https://msdn.microsoft.com/en-us/library/system.text.encoding%28v=vs.110%29.aspx. CallWebService returns a dictionary with properties: Response (string/dictionary/array): Response data as string, or if content type is application/json, as dictionary/array object. StatusCode (integer): Http status code. Headers (dictionary): All http response headers. The Content-Type http request header is set as follows: If the Content-Type parameter is provided, that is used. If Content-Type is not provided, and body is dictionary/array, request Content-Type is set to application/json. Otherwise no Content-Type header is set. If the Content-Type parameter is application/x-www-form-urlencoded, body is expected to be a dictionary where the name/values pairs are encoded using FormUrlEncodedContent method (see examples below). Examples: Get a webpage and check the status code of the response: let resp = CallWebService(#{ "Address": "https://www.google.com/search?q=QPR+ProcessAnalyzer" }); resp.StatusCode; Get the server version in a QPR ProcessAnalyzer environment: let resp = CallWebService(#{ "Address": "https://processanalyzer.onqpr.com/qprpa/api/serverinfo" }); resp.Response.serverVersion; Authenticate to QPR ProcessAnalyzer (to get an access_token) and call expression query (note the Content-Type required by the token request): let server = "http://processanalyzer.onqpr.com/qprpa"; let resp = CallWebService(#{ "Address": server + "/token", "Method": "POST", "Content-Type": "application/x-www-form-urlencoded", "Body": #{ "grant_type": "password", "username": "qpr", "password": "demo" } }); resp = CallWebService(#{ "Address": server + "/api/expression/query", "Method": "POST", "Content-Type": "application/json", "Headers": #{ "Authorization": "Bearer " + resp.Response.access_token }, "Timeout": 120000, "Body": #{ "Root": "Models", "Dimensions": null, "Values": [ #{"Name": "Name", "Expression": "Name"} ], "Ordering":[ #{"Name": "Name", "Direction": "Ascending"} ] } }); resp.Response[0].Name

Miscellaneous functions

Function	Parameters	Description
Where	Condition expression	Returns the context object if the given expression evaluates to true. Examples: [1,2,3,4].Where(_>2) Returns: [3,4] EventLogById(1).Cases.Where(Duration > TimeSpan(10)) Returns all cases where duration is more than 10 days (in eventlog id 1). EventLogById(1).Events.Where(Timestamp < DateTime(2020, 1,1)) Returns all events which occurred before 1.1.2020 (in eventlog id 1).
If	Condition expression True expression False expression	If the first parameter is true, returns the value of the second parameter. Otherwise returns the value of the third parameter. The function always evaluates only either the second or third parameter, but never both. Note that the function needs to starts with a capital letter, because otherwise it's interpreted as the if operator. Examples: If(Now.Second % 2 == 0, "Even second", "Odd second") Returns: "Event second" or "Odd second" depending on the time of the evaluation. For("i", 0, i < 10, i + 1, i).If(_ % 2 == 0, _, _remove) Returns: [0, 2, 4, 6, 8]
RemoveNulls (Array)	Array	Removes all the supported null values from given hierarchical object. Never removes arrays containing removed null values. Returns given object with null values removed. Examples: RemoveNulls([1, [], [null], [2, _remove, [_empty, 3, 4], _empty, null, 5]]) Returns: [1, [], [], [2, [3, 4], 5]] RemoveNulls(["foo": null, "bar": 2, "poof": [1, _empty, 3]]) Returns: [ "foo": 0, "bar": 2, "poof": [ 1, 3 ] ]
Catch	Expression to calculate Result if exception (Object)	Calculates the given expression and if any exceptions are thrown during the calculation, catches that exception and returns the given result. Note that this function does not catch any syntactical errors. Examples: Catch(1, 1234) Returns: 1 Catch(undefined, 1234) Returns: 1234 Catch([1,2].undefined, 1234) Returns: 1234 Catch(EventLogById(-1), 1234) Returns: 1234
AsParallel	Additional parameters	Performs all the following chaining operations in parallel to improve performance. Items are divided into parts which size is determined by the ParallelTaskSize parameter, and each part is executed as an independent task in parallel. Parallel execution has a certain cost, so it might not be optimal to run each item as a separate task (increase ParallelTaskSize to decrease number of tasks). On the other hand, to large ParallelTaskSize leads to too few parallel tasks, and then all processing capacity is not used. As a parameter, takes a dictionary that accepts optional property ParallelTaskSize, which is the size of the segments the root array will be split into. If the length of the input array is not divisible by ParallelTaskSize, the last segment will have less items than this configured value. The default size is 1. The AsParallel function call doesn't need to be part of the chaining, and thus it can be called before the chaining. Examples: Run several ODBC queries simultaneously: let regions = ["New York", "Los Angeles", "Dallas", "London"]; AsParallel(["ParallelTaskSize": 1]); regions.ImportOdbc("...", "SELECT * FROM [Data] Where Region = '" + _ + "'") Run a complex filtering operation for cases: Cases.AsParallel(["ParallelTaskSize": 1000]).Where(...) Sum(Sum(([NumberRange(1, 100)].AsParallel(["ParallelTaskSize": 1]).For("i", 0, i < 100000, i + 1, i))[0])) Returns: 499995000000 The same expression without parallel processing: Sum(Sum(NumberRange(1, 100).For("i", 0, i < 100000, i + 1, i))) Returns: 499995000000 Sum([NumberRange(1, 100)].AsParallel(["ParallelTaskSize": 1]).WriteLog(_)) Returns: 5050 In addition, outputs all the numbers from 1 to 100 into log file in the order in which the tasks were executed. The previous example can also be written like this: AsParallel(["ParallelTaskSize": 1]); Sum(NumberRange(1, 100).WriteLog(_)); Returns: 5050 Count((([el.Cases].AsParallel(["ParallelTaskSize": 1000]):AnalyzeConformance(cm))[0]).Where(_==null)) Returns the number of cases conforming to a design/conformance model cm. The same expression without parallel processing: Count((el.Cases:AnalyzeConformance(cm)).Where(_==null)) AsParallel(["ParallelTaskSize": 1]); el.Cases.Events.Type.Name Returns a hierarchical object having cases of given event log (el) as root objects and array of event type names of the events in each case in the order of occurrence. The expressions related to every case in the returned hierarchical object are processed in a separate independent task (thus, each task will process "Events.Type.Name" expression in a separate task where the root object is a case).
IsNull (Boolean)	Value to test (Object)	Tests whether given object is null, _empty or _remove. Returns true if it is any of those. If given a hierarchical object, applies the function as described in at the leaf level. Examples: ForEach("item", [1, "a", null, _empty, _remove], IsNull(item)) Returns: [false, false, true, true, true] IsNull(["foo":[null,"a"], "bar":[2,null]]) Returns: [ HierarchicalArray("foo", [true, false]), HierarchicalArray("bar", [false, true]) ]
IsNullTop (Boolean)	Object to test (Object)	Tests whether given object is null, _empty or _remove. Returns true if it is any of those. The function does not aggregate values in hierarchical objects. Examples: ForEach("item", [1, "a", null, _empty, _remove], IsNullTop(item)) Returns: [false, false, true, true, true] IsNullTop(["foo":[null,"a"], "bar":[2,null]]) Returns: false
GroupBy	Array to group Group by expressions	Groups given array by given expressions. Returns the given array splitted into groups in a way that each specified group expression creates one level of hierarchical arrays having the root object the same as the group expression result. Examples: GroupBy([1,2,2,3,3,4,5,5,4,4,4], _) Returns: [[1:[1], 2:[2, 2], 3:[3, 3], 4:[4, 4, 4, 4], 5:[5,5]]
GroupByValue	Array to group	Groups all unique values in given array. Returns the given array in a format which has all the values in the original array only once as root objects and the root objects in the original array as contents of the arrays inside contexts. In a way, this just switches root objects of hierarchical arrays to be the actual values and actual values to be root objects (without duplicates). For every item in the array, the behavior is as follows: If the item is not an array, the value is used also as the root object of the item. If the item is an array, all the values are treated separately. If the item is a hierarchical array, its root object will be used as root object and each separate value treated separately as scalars (ending up being root objects of the resulting object). Examples: GroupByValue([1,2,2,3,3,4,5,5,4,4,4]) Returns: (The same as GroupBy([1,2,2,3,3,4,5,5,4,4,4], _)) [1:[1], 2:[2, 2], 3:[3, 3], 4:[4, 4, 4, 4], 5:[5,5]] GroupByValue([1:["a","b"],2:["b","c"],3:["c"],4:["d","e"],5:["d","d","d"]]) Returns: ["a":[1], "b":[1, 2], "c":[2, 3], "d":[4, 5, 5, 5], "e":[4]] Get count of item "2" in the array: Let(\"groupped\", GroupByValue([1,2,4,1,4,2,3,3,2,4])); Count(GetValueOfContext(2, groupped)) Returns: 3
Coalesce	Object to coalesce Result if Null	Returns the second parameter if the first parameter is null or empty. If the the given object is a hierarchical object, all the leaf level values are coalesced separately. Examples: Coalesce(0, 1) Returns: 0 Coalesce(null, 1) Coalesce(_empty, 1) Coalesce(_remove, 1) All return: 1 Coalesce([[null, 1], [null, null]], 3) Returns: [[3, 1], [3, 3]] Coalesce([[null, 1], 2], 3) Returns: [[3, 1], null] Coalesce([1, [null, 2], null], 3) Returns: [1, [null, 2], 3]
Transpose	Matrix to transpose	Transposes the given matrix. Examples: Transpose([[1,2], [3,4], [1,4]]) Returns: [[1, 3, 1], [2, 4, 4]]
GarbageCollection		Calling this function performs a garbage collection in the QPR ProcessAnalyzer Server. The function returns the maximum generation before the garbage collection was run. This function is an experimental functionality, which purpose is to investigate the memory consumption and memory handling behavior of the QPR ProcessAnalyzer Server.
GetContext	Hierarchical array	Returns the context of given hierarchical array, i.e. list of keys in the object. If the given object is not an hierarchical array, returns null. Examples: GetContext("a":1) Returns: "a" ["a":1, "b":2, 2:3].GetContext(_) Returns: ["a", "b", 2] ([1,2,3]:(_*2)).GetContext(_) Returns: [1, 2, 3] ["a":1, 2, 3].GetContext(_) Returns: ["a", null, null]
GetValueOfContext	Context object Hierarchical array	Returns the value of specified context object in given hierarchical array, i.e. the value behind the key. If the key if found multiple times, the first occurrence is returned. Returns _empty if the given key was not found. Examples: GetValueOfContext("bar", ["foo":1, "bar":2]) Returns: [2] GetValueOfContext("bar", ["foo":1, "bar":2, "bar":"second"]) Returns: [2] GetValueOfContext("test", ["foo":1, "bar":2]) Returns: _empty
SendEmail	Parameters dictionary	Sends an email message using the provided parameters. SMTP server settings need to be configured to be able to send email messages. Following parameters are supported: From (string) (mandatory): Email address where the email message appears to be coming from. Doesn't need to be a working address. If the From address is not defined, the system configured from address is used (more information). To (string array) (mandatory): List of email addresses where to send the message to. Note that there should be only one email address per string in the array. Subject (string): Subject (title) of the email message. Body (string): Body (text contents) of the email message. Cc (string array): List of email addresses where to send the email as Cc. Bcc (string array): List of email addresses where to send the email as Bcc. IsBodyHtml (boolean): Defines whether the email message body is html (true) or plain text (false). By default false. ReplyTo (string array): Defines a list of reply-to addresses for the email message. BodyEncoding (string): Defines encoding for the message body. Supported encodings are ASCIIEncoding, UTF7Encoding, UTF8Encoding (default), UnicodeEncoding and UTF32Encoding. More information: https://docs.microsoft.com/en-us/dotnet/api/system.text.encoding?redirectedfrom=MSDN&view=netcore-3.1#remarks. SubjectEncoding (string): Defines encoding for the message subject. Supported encodings are same as in the BodyEncoding property. Default value is UTF8Encoding. Priority (string): Defines the email message priority. Available values are High, Normal (default) and Low. More information: https://docs.microsoft.com/en-us/dotnet/api/system.net.mail.mailpriority. DeliveryNotification (string): Defines the delivery notifications for the email message. Specified as a comma separated list of following possible values Delay, Never, None, OnFailure and OnSuccess. More information: https://docs.microsoft.com/en-us/dotnet/api/system.net.mail.deliverynotificationoptions. Sender (string): Defines the sender's email address. Usually the sender doesn't need to be defined. The sender is additional information for the email server. Example: SendEmail(#{   "From": "example.from@address.com",   "To": ["recipient.one@address.com", "recipient.two@address.com", "recipient.three@address.com"],   "Subject": "Example E-mail",   "Body": "QPR ProcessAnalyzer example script started running" });
WriteLog	message (Object)	When used in a script, writes the given text to the script log. The log entry is also made to the QPR ProcessAnalyzer log file. If the provided parameter is not a string, it's converted into string. The return value of the function is the provided message parameter, allowing to flexibly add the WriteLog into expressions (see the examples). Examples: WriteLog("Calculation executed.") Writes to log: Calculation executed. Sum(WriteLog([1, 2, 3, 4])) Returns: 10 Also writes an entry into the log showing the [1, 2, 3, 4] -array in the pretty printed fashion. NumberRange(0, 4).(WriteLog("Iteration #" + (_ + 1)), _) Returns: [0, 1, 2, 3, 4] Also writes the following entries into log: Iteration #1 Iteration #2 Iteration #3 Iteration #4 Iteration #5
TakeSample	Input array/DataFrame Sample size (Integer) Seed (Integer) With replacements (Boolean)	Randomly chooses the defined number of items from the provided array or rows from the DataFrame, and returns a new array or DataFrame containing those items. If the sample size is larger than the number of items/rows, the TakeSample function has no effect. Note that the order of items may change from the original. The seed is optional, and if not provided, the seed to be used is automatically generated. The "with replacements" parameter is optional (by default false). When false, same items appear maximum of once in the resulting array. When true, same items may appear multiple times in the resulting array. Examples: TakeSample([1,2,3,4,5,6,7,8,9,10], 4) Returns [1, 9, 3, 4] (note: results may change) TakeSample([1,2,3,4,5,6,7,8,9,10], 5, 9, true) Returns [5, 5, 1, 5, 3] TakeSample([1,2,3,4,5], 10) Returns [1,2,3,4,5] TakeSample( ToDataFrame( [[1,2],[3,4],[5,6]], ["a", "b"] ), 2 ).ToCsv() Returns a;b 5;6 3;4
Sleep	Duration (Timespan or integer as milliseconds)	Suspends the expression execution for the given time duration. The parameter can either be a Timespan object or integer where the duration is specified as milliseconds. Examples: Sleep(Timespan(0, 0, 1))); Result: Sleeps for 1 minute Sleep(1000); Sleep for 1 second

Ordering functions

Function	Parameters	Description
OrderBy (array)	Array to order Order expression	Orders the given array using values from the given order expression. The order expression is evaluated once for each item in the array. The order expression supports all atomic (=not collection) primitive value types. Examples: OrderBy(["a", "x", "b", "z", "n", "l", "a"], _) Return: ["a", "a", "b", "l", "n", "x", "z"] OrderBy([9,8,7,6,5,4,3,2,1], _%3) Returns: [9,6,3,7,4,1,8,5,2] OrderBy([9,8,7,6,5,4,3,2,1], _%3 + _/30) Returns: [3,6,9,1,4,7,2,5,8]
OrderByDescending (array)	Array to order Order expression	Result is same as in the OrderBy function, except the order is reverse.
OrderByTop (array)	Array to order Order expression	Orders given top-level array by the value of given expression using ascending order. Supports all value types, including multi-dimensional arrays. Order expression is evaluated in the context of each array item whose value determines the order of that item. Examples: OrderByTop([[1, 2, 3], [2, 2, 2], [3, 2, 1]], _[2]) Returns: [[3, 2, 1], [2, 2, 2], [1, 2, 3]]
OrderByValue (array)	Array to order	Orders the given array using the natural order of items, for example numbers it's the increasing order, and for strings it's text ordering. OrderByValue(["a", "x", "b", "z", "n", "l", "a"]) Return: ["a", "a", "b", "l", "n", "x", "z"]
OrderByValueDescending (array)	Array to order	Result is same as in the OrderByValue function, except the order is reverse.

Looping functions

Function	Parameters	Description
For	Iterated variable name (String) Initial value for iterated property (object) Iteration condition expression Next iteration step expression Expression to calculate iterated items	Iterates the given expression until the given condition is met, and returns the results of the iterated expressions for every iteration as an array. Examples: For("i", 0, i < 4, i + 1, i) Returns: [0, 1, 2, 3] For("x", 0, x < 3, x + 1, For("y", 0, y < 3, y + 1, StringJoin(",", [x, y])) Returns: [["0,0", "0,1", "0,2"], ["1,0", "1,1", "1,2"], ["2,0", "2,1", "2,2"]] For("i", 0, i < 4, i + 1, DateTime(2010 + i)) Returns: [DateTime(2010), DateTime(2011), DateTime(2012), DateTime(2013)] For("str", "a", str != "aaaaa", str + "a", str) Returns: ["a", "aa", "aaa", "aaaa"]
ForEach (2 parameters)	Array to iterate through Function to call	Calls given function using all the elements of given array, where the calculation is done in the current context. The function must support calling with one parameter. Returns the results of the evaluation of given function for every iteration of the input array as an array. Examples: let sourceModel = First(Models.Where(Name == "SAP_OrderToCash")); let attributes = sourceModel.EventAttributes; let events = sourceModel.EventLog.Events; let func = att => Attribute(att); events.ForEach(attributes, func) Returns an array containing arrays of all the event attribute values for all the events. let myFunction = item => _ + item * 2; (5).ForEach([1,2,3], myFunction) Returns 7, 9, 11 (=5+1*2, 5+2*2, 5+3*2)
ForEach (3 parameters)	Variable to repeat (String) Array to repeat Expression to calculate repeated items	Repeats the given expression as many times there are items in the given array. Item in the array is available as the given variable in the expression. Examples: ForEach("i", [1,2,3], "Value is: " + i) Returns: Value is: 1 Value is: 2 Value is: 3 ForEach("item", EventLogById(1).Cases, Let("c" + item.Name, item)) Results: Creates expression variable variables like "c<casename>" for every case in the model. ForEach("myVariable", ["a", "b", "c"], myVariable + myVariable) Returns: aa bb cc
NumberRange	Start (Number) End (Number) Interval (Number)	Creates an array of numbers within the given range using the given interval. Interval parameter is optional, and by default it is one. The interval can also be negative to get a sequence of decreasing numbers (then the Start needs to be greater than the End). Examples: NumberRange(1, 3) Returns: [1, 2, 3] NumberRange(-7, -1, 2) Returns: [-7, -5, -3, -1] NumberRange(1, 3, 0.5) Returns: [1, 1.5, 2, 2.5, 3] NumberRange(1, 3, 0.8) Returns: [1, 1.8, 2.6] NumberRange(6, 2, -2) Returns: [6, 4, 2]
Repeat	Number of times to repeat (Integer) Expression to repeat	Repeats the defined expression the defined number of times. Examples: Repeat(3, "Repeat me!") Returns: "Repeat me!" "Repeat me!" "Repeat me!" Repeat(1, 5) Returns 5
TimeRange	Start (DateTime) End (DateTime) Interval (Timespan)	Generates a timestamp array starting from the start timestamp with the defined interval, and ending when the end timestamp is reached. Note that this function only creates timestamps with equal durations, so it's not possible to e.g. create timestamps for each month (to do that, you can use the loops). Generate datetimes starting from Monday 2017-01-01 and ending to Monday 2017-12-31 including all Mondays between them: Timerange(Datetime(2018,1,1), Datetime(2018,1,1), Timespan(7))

Recursion functions

Function	Parameters	Description
Recurse	Expression to call recursively Stop condition expression Maximum depth (Integer)	Evaluates the given expression recursively until given condition or recursion depth is met. The function returns all the traversed objects in a single array. When the stop condition expression evaluates to false, it will stop the current recursion without including the false evaluated object into the result. Default stop condition is !IsNull(_). The default maximum depth is 1000. Examples: (1).Recurse(_ + 1, _ < 5) Returns: [1, 2, 3, 4] event.Recurse(NextInCase) Returns: An array of all the events following given event inside the same case. event.Recurse(NextInCase, Type.Name != "Invoice") Returns: An array of all the events following given event inside the same case until event whose type name is "Invoice", which will itself not be included into the result. event.Recurse(NextInCase, Type.Name != "Invoice", 2) Returns: An array of all the events following given event inside the same case until event whose type name is "Invoice" or until the recursion depth of 2 has been reached, which will itself not be included into the result.
RecurseWithHierarchy	Expression to call recursively Stop condition expression Maximum depth (Integer)	Evaluates the given expression recursively until given condition or recursion depth is met. The function returns the traversed object hierarchy. When the stop condition expression evaluates to false, it will stop the current recursion without including the false evaluated object into the result. Default stop condition is !IsNull(_). The default maximum depth is 1000. Examples: [1,2].RecurseWithHierarchy([1,2], false, 2) Returns: [1:[1:[1,2],2:[1,2]],2:[1:[1,2], 2:[1,2]]] (1).RecurseWithHierarchy(_ + 1, _ < 5) Returns: 1:[2:[3:[4]]] RemoveLeaves(eventLog.Flows:From.Where(IsNull(_))).To.RecurseWithHierarchy(OutgoingFlows.To, !IsNull(_), 2) Returns: A hierarchy consisting of all the starter events of given event log and recursively all the event types reachable from them via flows until depth of 2 is reached.
RecursiveFind	Expression to call recursively Find condition expression Stop condition expression Continue after finding (Boolean) Maximum depth (Integer)	Evaluates given expression recursively until given condition or recursion depth is met. The function collects all the traversed objects that match the given find expression along the way. When the find condition expression evaluates to true for the current object, it causes the following: Current object is added to the result array returned by the function call If continue after finding is false, the recursion will not be continued on this branch When the stop condition expression evaluates to false, it will stop the current recursion without including the false evaluated object into the result. Default stop condition is !IsNull(_). The default maximum depth is 1000. Continue after finding tells should the recursion be continued after a match has been found in the current branch. Examples: (1).RecursiveFind(_ + 1, _ == 100) Returns: 100 eventLog.Cases:GetAt(0, Events).RecursiveFind(NextInCase, Organization=="Finance", !IsNull(_)) Returns: For each case, returns the first (by time) event whose organization equals to "Finance". eventLog.Cases:Events.Where(Organization=="Finance") eventLog.Cases:GetAt(0, Events).RecursiveFind(NextInCase, Organization=="Finance", true, true) Returns: Both return for each case all events whose organization equals to "Finance".

Hierachical object functions

Function	Parameters	Description
FindRepeats	Array Minimum repeated length (Integer) Longest repeat length (Integer)	Searches for repeating patterns in given array. Parameters: Array to search the patterns in. Minimum integer length of a repeat that can be returned by this function (default = 0). Boolean value indicating whether to return all the repeating patterns (true) or only the ones having the longest length (false) (default = false) Returns an array of arrays indicating the repeating patterns and their positions in the array formatted as follows: Every repeating pattern has its own entry in the top-level array. Every repeating pattern item in the top-level array is formatted internally as an array consisting of: An array constining the repeating pattern itself. An array consisting of all the indexes from which this pattern was found to start from. Allows overlapping patterns. Results are sorted primarily by the length of the pattern and secondarily by the number of indexes the pattern was found in. Examples: FindRepeats([0, 1, 2, 0, 1, 2]) Returns: [ [[0, 1, 2], [0, 3]], [[0, 1], [0, 3]], [[1, 2], [1, 4]], [[0], [0, 3]], [[1], [1, 4]], [[2], [2, 5]] ] FindRepeats([0, 1, 2, 0, 1, 2], 0, true) Returns: [[[0, 1, 2], [0, 3]]] FindRepeats([1, "b", DateTime(2017), 1, "b", DateTime(2017)], 3) Returns: [[1, "b", DateTime(2017)], [0, 3]]
Flatten	Array or hierarchical object Include context object (boolean)	Collects all the actual leaf values from given array, array of arrays or hierarchical object and returns them in a single array. If given a hierarchical object, this function collects actual leaf values instead of leaf level values. Elements in the returned array are in the same order they were found when traversing the input object using depth first search. When context object is included, should context objects in the internal nodes of a hierarchical object be also included into the result. Default is false. Examples: Flatten(1) Returns: 1 Flatten([1, 2]) Returns: [1,2] Flatten([[[1, 2],[3, 4]],[[5, 6]]]) Returns: [1, 2, 3, 4, 5, 6] Flatten([[1, 2], 3]) Returns: [1, 2, 3] Flatten([[1,2,3,4], null, [5], [1, null]]) Returns: [1, 2, 3, 4, null, 5, 1, null] Flatten(["a":1, "b":2]) Flatten(["a":1, "b":2], false) Returns: [1, 2] Flatten(["a":1, "b":2], true) Returns: ["a", 1, "b", 2]
RemoveLeaves	Hierarchical object	Remove one level of hierarchy from a hierarchical object replacing all the bottom level hierarchical arrays with the context objects of the hierarchical arrays. Returns the given object with all the bottom level hierarchical arrays with the context objects of the hierarchical arrays. Examples: RemoveLeaves(["foo":1, "bar":2]) Returns: ["foo", "bar"] RemoveLeaves(eventLog.Flows:From.Where(IsNull(_))) Results: All the flows starting the cases in the event log.
ReplaceLeafValues	Array or hierarchical object Variable name used in the iteration (String) Expression to get the result of each iteration Number of levels up from the leaf level to operate (Integer)	Replace all leaf values of given array or hierarchical object at given levels up from the leaf level with results of given expression. Examples: ReplaceLeafValues([1,2, null], "x", If(IsNull(x), null, x+1), 0) Result: [2, 4, null] ReplaceLeafValues([[[1,2],[2,3]],[[3,4],[4,5]]], "x", Flatten(x), 0) Result: [[[[1],[2]],[[2],[3]]],[[[3],[4]],[[4],[5]]]] ReplaceLeafValues([[[1,2],[2,3]],[[3,4],[4,5]]], "x", Flatten(x), 1) Result: [[[1,2],[2,3]],[[3,4],[4,5]]] ReplaceLeafValues([[[1,2],[2,3]],[[3,4],[4,5]]], "x", Flatten(x), 2) Result: [[1,2,2,3],[3,4,4,5]] ReplaceLeafValues([[[1,2],[2,3]],[[3,4],[4,5]]], "x", Flatten(x), 3) Result: [1,2,2,3,3,4,4,5]
SliceMiddle	Start index for the range to extract (Integer) End index for the range to extract (Integer) Levels up in the hierarchy (Integer) Array to slice	Extracts a continuous range of an array or hierarchical object. If given a hierarchical object, applies the function at the level that is specified levels level up from the leaf level. Start index: Negative value means that the index is counting from the end of the array. If array does not have element at this given index, empty array is returned. End index: not included into the extracted range. Negative value means that the index is counting from the end of the array. If array does not have element at this given index, all the elements to the end from the start index will be extracted. Levels up: At which level of the hierarchical object are we operating (number of levels up from the leaf level). Should be at least 1 (since 0 level does not contain arrays). Examples: SliceMiddle(1, 2, 1, [[0, 1, 2, 3], [4, 5, 6, 7]]) Returns: [[1], [5]] SliceMiddle(2, 4, 1, [[0, 1, 2, 3], [4, 5, 6, 7]]) Returns: [[2, 3], [6, 7]] SliceMiddle(0, 1, 2, [[0, 1, 2, 3], [4, 5, 6, 7]]) Returns: [0, 1, 2, 3] SliceMiddle(3, 5, 1, [0, 1, 2, 3, 4, 5, 6, 7]) Returns: [3, 4] SliceMiddle(-3, -1, 1, [0, 1, 2, 3, 4, 5, 6, 7]) Returns: [5, 6] SliceMiddle(3, -1, 1, [0, 1, 2, 3, 4, 5, 6, 7]) Returns: [3, 4, 5, 6]