Building an Actions Per Minute counter - part 3, Data structure

06 February 2022

This is part 3 of a 3 about creating an Actions Per Minute (APM) tracker for playing video games on windows.

In the previous two parts, we tracked action events, then displayed text on the screen. In this part, we will run through turning action events into a per-minute metric.

The core data structure we will use is a rolling window. An array will store the current actions for a given second. New actions increment the last element of the array, every second we increase the size of the array by 1. A simple way to get our per minute would be to take the last 60 elements of our array and average them. This approach fetches a lot of the same data every second, 59 out of 60 elements are the same second to second. To improve this we keep a rolling value. Each second we add the value of the latest index and subtract the value at the last index of our window. This keeps a rolling integer value of the window sum.

"sliding window"

In our example array, we have 4 elements in the window with a sum of 18. Incrementing a second would slide our window 1 to the right. Adding 5, the element to the right of the window and subtracting 8, the last element in the window. Giving is a current rolling sum value of 21, which we can divide by the window size to get the average.

To get started we need 4 variables:

std::vector<int> actionsPerSecond{0};
int rollingActionCount;
std::mutex mtx;
  • actionsPerSecond is our counter for actions in each second
  • rollingActionCount is our rolling window value
  • mtx is our mutex, we have at least 2 threads modifying the same vector. The thread adding actions to a vector index, and the thread incrementing the vector index

Adding an action happens in the proc function thread handling our window events, where we were previously using counter++

void addAction()
{
    const std::lock_guard<std::mutex> lock(mtx);

    int currentSecond = actionsPerSecond.size() - 1;
    actionsPerSecond[currentSecond]++;
}

In a separate thread we setup a 1 second ticker, we increment the size of the actions vector by 1, and then we increment the rolling window value:

void incrementSecond() {
    const std::lock_guard<std::mutex> lock(mtx);

    int currentSecond = actionsPerSecond.size() - 1;
    rollingActionCount += actionsPerSecond[currentSecond];
    if (currentSecond >= 60) {
        rollingActionCount -= actionsPerSecond[currentSecond-60];
    }
    actionsPerSecond.push_back(0);
}

void tick() {
    while(true) {
        Sleep(1000);
        incrementSecond();
    }
}

std::thread t(tick);

And now we can get our current APM. When there are less than 60 data samples in the first minute, we give an estimate of APM to our users

int adjustFirstMinute(int currentWindowSize)
{
    if (currentWindowSize == 0)
        return 0;

    float m = static_cast<float>(60) / static_cast<float>(currentWindowSize);
    return static_cast<int>(m * rollingActionCount);
}

int currentAPM()
{
    int currentSecond = actionsPerSecond.size() - 1;
    if (currentSecond > windowSize)
        return rollingActionCount;

    return adjustFirstMinute(currentSecond);
}

Take a look at the GitHub repo if you want to see the full code in action