I have below a function (created by Gordon in a previous question that went unanswered) that creates an array with n amount of values. The sum of the array is equal to $max.

function randomDistinctPartition($n, $max)
{
    $partition= array();
    for($i=1; $i < $n; $i++) {
        $maxSingleNumber = $max - $n;
        $partition[] = $number = rand(1, $maxSingleNumber);
        }
        $max -= $number;

    }
    $partition[] = $max;
    return $partition;
}

For example: If I set $n = 4 and $max = 30. Then I should get the following.

array(5, 7, 10, 8);

However, this function does not take into account duplicates and 0s. What I would like - and have been trying to accomplish - is to generate an array with unique numbers that add up to my predetermined variable $max. No Duplicate numbers and No 0 and/or negative integers.