What are the best practices for calculating complex mathematical formulas, like the binomial distribution, in PHP to avoid calculation errors?

Complex mathematical formulas like the binomial distribution can lead to calculation errors if not implemented correctly in PHP. To avoid these errors, it is recommended to use built-in PHP functions or libraries specifically designed for handling mathematical calculations. Additionally, breaking down the formula into smaller, more manageable parts can help reduce the chances of errors.

// Example of calculating the binomial distribution using the math PHP extension
$successes = 3;
$trials = 5;
$probability = 0.5;

$binomial = math_comb($trials, $successes) * pow($probability, $successes) * pow(1 - $probability, $trials - $successes);

echo "Binomial distribution: " . $binomial;