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# Set operations

One of the key features of the platform is the ability to execute certain operations for all object collections for which the values of one or more properties are not NULL. In the property logic such an operation is the calculation of various aggregate functions

Aggregate functions

An aggregate function calculates a certain result as a single object on a set of object collections. This function is defined by the initial value (typically NULL), properties that it uses (operands), operation of addition to the intermediate result of the current operand values, and conversion function of the intermediate result to the final (typically the intermediate result is the final result).

Aggregate function is commutative if the order in which the object collections of the original set are iterated over does not matter when calculating the result.

The table below shows the currently supported types of aggregate functions:

Type/instruction optionInitial valueNames of the operandsAdd operationConversion functionCommutativityData type
SUMNULLoperandresult = result (+) operandresult+number
MAXNULLoperandresult = max(result, operand)result+any comparable
MINNULLoperandresult = min(result, operand)result+any comparable

CONCAT

NULLseparator, operand

result = CONCAT separator, result, operand

result-string
LAST / PREVNULLwhere, operandresult = IF where THEN operand ELSE resultresult-

any

From the perspective of determining the set of object collections and the result display method, four main operators for working with sets can be distinguished:

Operation correctness

You should consider that during each operation on a set of object collections, this set must be finite. In this case, the operation is called correct.

Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16``` ``` CLASS A; d = DATA INTEGER (A); f (b) = GROUP SUM 1 IF d(a) < b; messageF { MESSAGE f(5); } // will be executed successfully g = GROUP SUM f(b); messageG { MESSAGE g(); } // f(b) is not NULL for infinite number b, the platform will throw an error FORM f OBJECTS d=DATE ; printFWithD { PRINT f OBJECTS d=currentDate(); } // will be executed successfully printFWithoutD { PRINT f; } // there is no filter for dates, and d IS DATE is not NULL for an infinite number d, the platform will throw an error ```

There are several non-trivial cases when the operation is correct but the platform cannot determine this. For example, if the only limiting condition for a parameter is whether it falls within the range:

 ```1 2 3``` ``` hs = GROUP SUM 1 IF (a AS INTEGER) >= 4 AND a <= 6; messageHS { MESSAGE hs(); } // theoretically, it should return 3, but the platform will still throw an error hi = GROUP SUM 1 IF iterate(a, 4, 6); // workaround: to work with intervals, the iterate property can be used (which, in turn, is implemented through recursion) ```

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