On Thu, Jul 25, 2019 at 10:29:08AM -0700, L A Walsh wrote:
> On 2019/07/24 11:49, Greg Wooledge wrote:
> >               $((expression))
> >
> >        The expression is treated as if it were within  double  quotes,


> I didn't use $((...)), I'd put the whole thing in ((...)) which I hoped
> would treat the whole expression consistently.

       ((expression))
              The expression is evaluated according to the rules described be‐
              low under ARITHMETIC EVALUATION.

[...]

ARITHMETIC EVALUATION

[...]

       Shell variables are allowed as operands; parameter  expansion  is  per‐
       formed before the expression is evaluated.

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