If you want to output a properly parenthesized mathematical expression, you'll have to do so on the fly, examining the tree that I assume you have in your Arithmetic object. For example, if you have
$x = ($a + $b) * $c;, then you probably have a tree like:
Arithmetic::Multiply(
Arithmetic::Add(
Variable('a'),
Variable('b')
),
Variable('c')
)
When you're walking that tree, when you get to a Multiply or Divide node, you have to check to see if its children are Add or Subtract nodes; if they are, those child nodes need to be surrounded by parentheses when output.
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