Avoiding $GLOBAL state in PHP with dependancy injection?

I have encountered a situation where I would like to avoid using $GLOBAL state, but cannot workout how to do so. I believe Reflection and Dependancy injection could solve this:

Here is a contrived example (Yes I know its a little bent...); Say we have a Calculator class and helper functions that basically replicate its functionality e.g. add, subtract. Now we also want a history of our calculations to be accessible.

How can I use these helper functions without having to manually insert the Calculator as a dependancy?

class Calculator
{
    private $history = [];

    public function add(int $a, int $b): int
    {
        $result = $a + $b;

        $this->history[] = $result;

        return $result;
    }

    public function subtract(int $a, int $b): int
    {
        $result = $a - $b;

        $this->history[] = $result;

        return $result;
    }

    public function history(): array
    {
        return $this->history;
    }
}

function add(int $a, int $b): int
{
    $calculator = new Calculator;
    return $calculator->add($a, $b);
}

function subtract(int $a, int $b): int
{
    $calculator = new Calculator;
    return $calculator->subtract($a, $b);
}

function history(): array
{
    $calculator = new Calculator;
    return $calculator->history(); // Clearly this will be empty
}

See what I mean? Currently calling history() will of course return an empty array...

Of course this would work:

function add(Calculator $calculator, int $a, int $b): int
{
    return $calculator->add($a, $b);
}

function history(Calculator $calculator): array
{
    return $calculator->history();
}

Although if i use this as a package its very error prone, labour intensive to manually wire up these dependancies... let alone every time I call a helper function.

Another method that would work is globals:

$GLOBALS['calculator'] = new Calculator;

function add(int $a, int $b): int
{
    return $GLOBALS['calculator']->add($a, $b);
}

function history(): array
{
    return $GLOBALS['calculator']->history();
}

Although ... yuk yuk yuk. No thank you.

HELP!