Hi everyone,

Let's say I have the string @"2 ** 3 ** 2".  I can run this through NSPredicate 
to parse it into an NSExpression tree for me, like so:

NSExpression * e = [(NSComparisonPredicate *)[NSPredicate 
predicateWithFormat:@"2 ** 3 ** 2 == 0"] leftExpression];

When I log/evaluate this predicate, it gives me "(2 ** 3) ** 2", which 
evaluates to 64.  In other words, NSExpression (or NSPredicate or whomever) has 
assumed that the power operator is a left-associative operator.

According to Wikipedia (the source of all truth and knowledge), when no 
parentheses are present in the expression, "the order is usually understood to 
be top-down, not bottom-up."  [1]  In other words, "a ** b ** c" is understood 
to be "a ** (b ** c)", not "(a ** b) ** c".  Put more formally, the power 
operator is supposed to be right associative.  (rdar://problem/8692313)

I'm currently working on some code that mimics much of the behavior of 
NSExpression.  However, I'm now faced with a choice:  do I make my code 
technically correct by making the power operator right associative, or do I 
maintain parity with NSExpression and make it left associative?

Any suggestions you have would be welcome.

Thanks,

Dave DeLong

[1]: http://en.wikipedia.org/wiki/Exponentiation#Identities_and_properties
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