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EXISTS

This function determines whether an instance of a specified entity exists, optionally meeting certain criteria.

Syntax

EXISTS instances [WHERE condition]
  • instances - Instances to search.
  • condition - boolean expression that represents the criterion the instance has to meet.

Return type

  • boolean

Examples

Suppose the following data model.

 

Person.namePerson.genderPerson.age
“Kim”“f”23
“Rick”“m”35
“Bob”“m”42
“John”“m”19
“Mary”“f”33

 

  • EXISTS Person = TRUE
  • EXISTS Person WHERE ( Person.age < 18 ) = FALSE
  • EXISTS Person WHERE ( Person.gender = “m” AND Person.age > 35 ) = TRUE

The return value of a boolean can be TRUE, FALSE or UNKNOWN.

EACH

This function determines whether all instances of a specified entity meet a certain criteria

Syntax

EACH instances WHERE condition
  • instances - A collection of instances to search.
  • condition - Boolean expression that represents the criterion the instance has to meet.

Return type

  • boolean

Examples

Suppose the following data model.

 

Person.namePerson.genderPerson.age
“Kim”“f”23
“Rick”“m”35
“Bob”“m”42
“John”“m”19
“Mary”“f”33

 

  • EACH Person WHERE ( Person.age < 18 ) = FALSE
  • EACH Person WHERE ( Person.age > 18 ) = TRUE
  • EACH Person WHERE ( Person.age < 20 ) = FALSE
  • EACH Person WHERE ( Person.gender = “m” OR Person.age > 35 ) = FALSE
  • EACH Person WHERE ( Person.gender = “m” OR Person.age > 20 ) = TRUE

 

ALL

Use this function to create a collection of all instances of a specified entity.

Syntax

 ALL entity
  • entity - Entity of which to collect all its instances.

Return type

  • collection of entity instances

Examples

Suppose the following data model. The Parent and Child entities both have Person as base entity.

 

Parent instanceChild instance
Parent_1Child_1
Parent_1Child_2
Parent_1Child_3
Parent_2Child_4

 

  • ALL Parent = [ Parent_1 , Parent_2 ]
  • ALL Child = [ Child_1 , Child_2 , Child_3 , Child_4 ]
  • ALL Person = [ Parent_1 , Parent_2 , Child_1 , Child_2 , Child_3 , Child_4 ]

COLLECT FROM [WHERE]

Use this function to create a collection of entity or attribute instances (meeting certain criteria).

Syntax

 COLLECT entity | attribute FROM collection [WHERE expression]
  • entity or attribute - Entity or attribute to collect.
  • collection - A collection of entity instances.
  • expression - Boolean expression that represents the criterion the instance has to meet.

Return type

  • collection of entity instances
  • collection of attribute values

A collections contains no duplicates. Intermediary COLLECT expressions can contain duplicates however, please see the note on collections and duplicates.

Examples

Suppose the following model. Entity Teacher has a multivalued relation with entity Child via the relation Teacher.teaches_Children.

 

Teacher instanceChild instanceChild.nameChild.hobbies
Teacher_1Child_1“Kim”“Reading”, “Dancing”
Teacher_1Child_2“Rick”“Tennis”, “Dancing”
Teacher_1Child_3“Bob”“Painting”, “Basketball”, “Reading”
Teacher_2Child_1“Kim”“Reading”, “Dancing”
Teacher_2Child_3“Bob”“Painting”, “Basketball”, “Reading”
Teacher_2Child_4“Mary”“Football”

 

  • COLLECT Child.name FROM ALL Child =  [ “Kim”, “Rick”, “Bob”, “Mary” ]
  • COLLECT Child FROM Teacher[Teacher_2].teaches_Children  = [ Child_1, Child_3Child_4 ]
  • COLLECT Child.hobbies FROM Teacher[Teacher_1].teaches_Children =  [ “Reading”, “Dancing”, “Tennis”, “Painting”, “Basketball” ]
  • COLLECT Child.name FROM ALL Child WHERE ( Child.hobbies = “Reading” ) = [ “Kim”, “Bob” ]
  • COLLECT Child.hobbies FROM ALL Child WHERE ( Child.name = “Mary” ) = [ “Football” ]

COLLECT FROM NAMED [WHERE]

Use this version of the COLLECT FROM [WHERE] function for complex nested selections in which it is necessary to use an alias.

Syntax

 COLLECT entity | attribute FROM collection NAMED alias [WHERE expression]
  • entity or attribute - Entity or attribute to collect. This should contain the alias, e.g. alias.Name.
  • collection - A collection of entity instances.
  • alias - A name for the collection.
  • expression - Boolean expression that represents the criterion the instance has to meet.

Return type

  • collection of entity instances
  • collection of attribute values

A collections contains no duplicates. Intermediary COLLECT expressions can contain duplicates however, please see the note on collections and duplicates.

Examples

Suppose the following model with only instances of entity Person. Person.hasChildren is a relation from Person to Person.

 

Person instancePerson.NamePerson.AgePerson.hasChildren
Person_1“Kim”16 
Person_2“Rick”38Person_3, Person_5
Person_3“Bob”8 
Person_4“Julia”42Person_1
Person_5“Sam”3 
Person_6“Joan”34Person_3, Person_5

 

To retrieve all the parent names, we use this expression:

COLLECT Parent.name 
FROM
  COLLECT Person 
  FROM ALL Person 
  WHERE ( Person.hasChildren != ? ) NAMED Parent

This expression results in “Rick”, “Julia” and “Joan”.

To retrieve all children names, we use this expression:

COLLECT Child
FROM (
  COLLECT Person.hasChildren 
  FROM ALL Person 
  WHERE ( Person.hasChildren != ? ) ) NAMED Child

This expression results in a collection of three instances of Person (i.e Person_1, Person_3 and Person_5, with names Kim, Bob and Sam).

To retrieve all children younger than 15, we use this expression:

COLLECT Child 
FROM (
  COLLECT Person.hasChildren
  FROM ALL Person 
  WHERE ( Person.hasChildren != ? ) ) NAMED Child
WHERE ( Child.Age < 15 )

This expression results in a collection of two instances of Person (i.e Person_3 and Person_5, with names Bob and Sam).

To retrieve the children’s names with a parent older than 40 years:

COLLECT Child.Name 
FROM (
  COLLECT Person.hasChildren 
  FROM ALL Person 
  WHERE ( Person.hasChildren != ? AND Person.Age > 40 ) ) NAMED Child  

This expression results in a collection with only the name “Kim”.

You can make it as complex as you like, for example:

COLLECT Child.Name 
FROM (
  COLLECT Parent.hasChildren
  FROM (
    COLLECT Person
    FROM ALL Person 
    WHERE ( Person.hasChildren != ? ) ) NAMED Parent
  WHERE ( Parent.Age > 40 )
) NAMED Child 
WHERE ( Child.Age < 18 ) 

This expression results also in a collection with only the name “Kim”.

In some occasions, a local variable could be a good alternative for using an alias. E.g. if you want a collection of all persons except the person that is currently active, this would be simple and transparent:

thisPerson := Person ;
 
COLLECT Person
    FROM ALL Person 
    WHERE ( Person != thisPerson )

UNPACK

Use this function to extract the value from a single valued collection or list.

Syntax

UNPACK collection/list
  • collection/list - A collection or list of one entity or attribute instance.

Return type

  • entity instance
  • attribute value of any type

Examples

Suppose the following data model.

 

Person.namePerson.SequenceNumber
“Bob”654
“Jane”523
“Mary”667
“Rick”500
“Ron”490
“Jenny”765

 

  • UNPACK ( COLLECT Person.name FROM ALL Person WHERE ( Person.SequenceNumber = MIN ( COLLECT Person.SequenceNumber FROM ALL Person ) ) ) = “Ron”
  • In case a second entry "Ron","490" exists, the expression UNPACK ( COLLECT Person.name FROM ALL Person WHERE ( Person.SequenceNumber = MIN ( COLLECT Person.SequenceNumber FROM ALL Person ) ) ) will fail, because the UNPACK cannot resolve a list with two elements. To solve this the UNIQUE function has to be used: UNPACK ( UNIQUE ( COLLECT Person.name FROM ALL Person WHERE ( Person.SequenceNumber = MIN ( COLLECT Person.SequenceNumber FROM ALL Person ) ) ) ) = "Ron".
  • UNPACK ( COLLECT Person.name FROM ALL Person WHERE ( Person.SequenceNumber = MAX ( COLLECT Person.SequenceNumber FROM ALL Person ) ) ) = “Jenny”

SIZE

This function determines the size of a collection.

Syntax

SIZE ( collection )
  • collection - A collection of attribute or entity instances. This can be an expression or a relation attribute for instance.

Return type

  • integer

Example

Suppose you have a Parent and a Child entity, where Parent has a multivalued relation with Child via the relation Parent.has_Children. With this model the following instances are created:

 

Parent instanceChild instanceChild.nameChild.hobbies
Parent_1Child_1“Kim”“Reading”, “Dancing”
Parent_1Child_2“Rick”“Tennis”, “Dancing”
Parent_1Child_3“Bob”“Painting”, “Basketball”, “Reading”
Parent_2Child_4“Mary”“Football”

 

Then:

  • if Parent_1 is active, SIZE ( Parent.has_Children ) = 3
  • if Parent_2 is active, SIZE ( Parent.has_Children ) = 1
  • without an active Parent instance, SIZE ( Parent.has_Children ) results in an error
  • if Child_1 is active, SIZE ( Child.hobbies ) = 2
  • if Child_3 is active, SIZE ( Child.hobbies ) = 3
  • if Child_4 is active, SIZE ( Child.hobbies ) = 1
  • SIZE ( ? ) = 0

 

COUNT and SIZE are similar except for UNKNOWN: COUNT ( ? ) = UNKNOWN

UNIQUE

The UNIQUE function filters duplicate items from a collection. An expression resulting in a collection, never contains duplicate values. A subexpression with the COLLECT statement however, can contain duplicates. See the note on collections and duplicates for more info.

Syntax

 UNIQUE ( collection )
  • collection - A collection of attribute or entity instances.

Examples

Suppose the following model.

 

Person instancePerson.name
Person_1“Kim”
Person_2“Rick”
Person_3“Bob”
Person_4“Rick”

 

  • COLLECT Person.name FROM ALL Person = "Kim”, “Rick”, “Bob” (a result never contains duplicate values)
  • SIZE ( COLLECT Person.name FROM ALL Person ) = 4 (a subexpression can contain duplicate values)
  • SIZE ( UNIQUE ( COLLECT Person.name FROM ALL Person ) ) = 3 (the collection holds three unique values)

SUBSET OF

This function returns TRUE if the items in a collection are all present in another collection.

Syntax

 collection1 SUBSET OF collection2
  • collection1 - The collection that is tested to be a subset of the second collection.
  • collection2 - The collection that is tested to hold all the items in the first collection.

Return type

  • boolean

Diagram

Examples

  • ('a', 'b', 'c') SUBSET OF ('a', 'b', 'c', 'd') = TRUE
  • ('a', 'b', 'c', 'd') SUBSET OF ('a', 'b', 'c') = FALSE
  • (Person.hobbies) SUBSET OF ([“Tennis”, “Soccer”, “Music”]) = TRUE if Person.hobbies = “Tennis”, “Soccer”
  • (Person.hobbies) SUBSET OF ([“Tennis”, “Soccer”, “Music”]) = UNKNOWN if Person.hobbies = ?
  • (Person.hobbies) SUBSET OF ([“Tennis”, “Soccer”, ?]) = FALSE if Person.hobbies = “Tennis”, “Soccer”
  • ('a', 'b', 'c') SUBSET OF (['a', 'b', 'c']) will result in an error.
Values between single quotes are considered value list items. For backwards compatibility reasons, a comma separated sequence of value list items is treated as a collection. That's why there is no need to enclose the values between square brackets. In fact if you do add the square brackets you create a matrix rather than a list.

UNION

Adds two collections of the same base type to a new collection.

Syntax

 UNION ( collection1 , collection2 )
  • collection1 - First collection to be added to the new collection.
  • collection2 - Second collection to be added to the new collection.

Return type

  • collection

Diagram

Examples

Suppose you have a Parent and a Child entity, where Parent has a multivalued relation with Child via the relation Parent.has_Children. With this model the following instances are created:

 

Parent instanceChild instanceChild.nameChild.hobbies
Parent_1Child_1“Kim”“Reading”, “Dancing”
Parent_1Child_2“Rick”“Tennis”, “Dancing”
Parent_1Child_3“Bob”“Painting”, “Basketball”, “Reading”
Parent_2Child_4“Mary”“Football”

 

  • UNION ( Parent[Parent_1].has_Children , Parent[Parent_2].Has_Children ) results in a collection of all Child instances
  • UNION ( Parent[Parent_1].has_Children.name , Parent[Parent_2].Has_Children.name ) = “Kim”, “Rick”, “Bob”, “Mary”
  • if Child_2 is active, UNION ( Child.hobbies , “Reading” ) = “Tennis”, “Dancing”, “Reading”
  • UNION ( Child[Child_1].hobbies , Child[Child_2].hobbies ) = “Reading”, “Dancing”, “Tennis”

INTERSECTION

This function determines the intersection of two collections. It returns a collection containing the items that are present in both specified collections.

Syntax

INTERSECTION ( collection1 , collection2 )
  • collection1, collection2 - Collections to be intersected. These collections must be of the same base type.

Return type

  • collection

Diagram

Examples

Suppose the following model. Entity Teacher has a multivalued relation with entity Child via the relation Teacher.teaches_Children.

 

Teacher instanceChild instanceChild.nameChild.hobbies
Teacher_1Child_1“Kim”“Reading”, “Dancing”
Teacher_1Child_2“Rick”“Tennis”, “Dancing”
Teacher_1Child_3“Bob”“Painting”, “Basketball”, “Reading”
Teacher_2Child_1“Kim”“Reading”, “Dancing”
Teacher_2Child_3“Bob”“Painting”, “Basketball”, “Reading”
Teacher_2Child_4“Mary”“Football”

 

  • INTERSECTION ( Teacher[Teacher_1].teaches_Children , Teacher[Teacher_2].teaches_Children ) results in a collection of Child instances Child_1 and Child_3
  • INTERSECTION ( Teacher[Teacher_1].teaches_Children.name , Teacher[Teacher_2].teaches_Children.name ) = “Kim”, “Bob”
  • INTERSECTION ( Child[Child_1].hobbies , Child[Child_3].hobbies ) = “Reading”
  • INTERSECTION ( Child[Child_2].hobbies , Child[Child_3].hobbies ) results in an empty list

DIFFERENCE

This function returns a collection containing all the items from collection1 that are not present in collection 2.

Syntax

DIFFERENCE ( collection1 , collection2 )
  • collection1, collection2 - Collections to be compared. These collections must be of the same base type.

Return type

  • collection

Diagram

Examples

  • DIFFERENCE ( [ "a", "b", "c"] , [ "c", "d", "e" ] ) = [ "a" , "b" ]
  • DIFFERENCE ( [ "nv" , "bv" ] , [ "NV" ] ) = [ "bv" ]
  • DIFFERENCE ( 1 , 1 ) results in an empty list

SYMMETRIC DIFFERENCE

This function determines the symmetric difference between two collections. It returns a collection with the elements of the provided collections which are in either one of the collections, but not in both.

Syntax

SYMMETRIC_DIFFERENCE ( collection1 , collection2 )
  • collection1, collection2 - Collections to be compared. These collections must be of the same base type.

Return type

  • collection

Diagram

Examples

  • SYMMETRIC_DIFFERENCE ( [ "a", "b", "c"] , [ "c", "d", "e" ] ) = [ "a", "b", "d", "e" ]
  • SYMMETRIC_DIFFERENCE ( [ "nv" , "bv" ] , [ "NV" ] ) = [ "bv" ]
  • SYMMETRIC_DIFFERENCE ( 1 , 1 ) results in an empty list

A note on collections and duplicates

An expression resulting in a collection does not contain duplicates. Please be aware however, that intermediary results of a COLLECT statement can contain duplicates. You have to be aware of this when using the SIZE or UNPACK function.

This is best illustrated with the following examples.

Person instancePerson.NamePerson.Age
Person_1Kim24
Person_2Rick25
Person_3Bob25
  • COLLECT Person.Age FROM ALL Person = [ 24, 25 ]
  • SIZE ( COLLECT Person.Age FROM ALL Person ) = 3 (the intermediary collection is [ 24, 25, 25 ]
  • SIZE ( UNIQUE ( COLLECT Person.Age FROM ALL Person ) ) = 2 (the duplicates in the intermediary collection are filtered by the UNIQUE function)

Now an example with the UNPACK function. We leave out the first instance from the previous example.

Person instancePerson.NamePerson.Age
Person_2Rick25
Person_3Bob25
  • COLLECT Person.Age FROM ALL Person = [ 25 ]
  • UNPACK ( COLLECT Person.Age FROM ALL Person ) will fail, because the collection contains 2 elements [25,25]
  • UNPACK ( UNIQUE ( COLLECT Person.Age FROM ALL Person ) ) = 25

 Only the intermediary results of a COLLECT statement can contain duplicates. The functions UNIQUE, UNION, INTERSECTION, DIFFERENCE and SYMMETRIC_DIFFERENCE always return collections without duplicates.

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