Kertymägeneraattorit

Kertymägeneraattorit, often translated as accumulation generators or cumulative sum generators, are a concept found in some programming languages and libraries, particularly those that deal with data streams or sequences. They are a type of generator function that produces a sequence of values where each subsequent value is the sum of the current element and all preceding elements in the input sequence. In essence, they compute a running total or cumulative sum.

The primary purpose of a kertymägeneraattori is to efficiently generate these cumulative sums without needing to store the entire input sequence in memory. As new elements are processed from the input, the generator updates the running total and yields the new cumulative sum. This makes them particularly useful for processing large datasets or infinite streams where memory is a constraint.

For example, if the input sequence is [1, 2, 3, 4], a kertymägeneraattori would yield the following sequence: 1 (1), 3 (1+2), 6 (1+2+3), 10 (1+2+3+4). The output represents the cumulative sum up to each point in the input. This functionality is valuable in various applications, including statistical analysis, signal processing, and financial calculations where tracking cumulative values over time is important. The implementation typically involves maintaining a state variable for the current sum.